---
_id: '1442'
abstract:
- lang: eng
text: We give a cohomological interpretation of both the Kac polynomial and the
refined Donaldson-Thomas-invariants of quivers. This interpretation yields a proof
of a conjecture of Kac from 1982 and gives a new perspective on recent work of
Kontsevich-Soibelman. Thisis achieved by computing, via an arithmetic Fourier
transform, the dimensions of the isotypical components of the cohomology of associated
Nakajima quiver varieties under the action of a Weyl group. The generating function
of the corresponding Poincare polynomials is an extension of Hua's formula for
Kac polynomials of quivers involving Hall-Littlewood symmetric functions. The
resulting formulae contain a wide range of information on the geometry of the
quiver varieties.
acknowledgement: |-
The first author thanks the Royal Society for funding his research 2005-2012 in the form of a Royal Society University Research Fellowship as well as the Mathematical Institute and Wadham College in Oxford for a very productive environment. The second author is supported by Agence Nationale de la Recherche grant
ANR-09-JCJC-0102-01. The third author is supported by the NSF grant DMS-1101484 and a Research Scholarship from the Clay Mathematical Institute.
author:
- first_name: Tamas
full_name: Tamas Hausel
id: 4A0666D8-F248-11E8-B48F-1D18A9856A87
last_name: Hausel
- first_name: Emmanuel
full_name: Letellier, Emmanuel
last_name: Letellier
- first_name: Fernando
full_name: Rodríguez Villegas, Fernando
last_name: Rodríguez Villegas
citation:
ama: Hausel T, Letellier E, Rodríguez Villegas F. Positivity for Kac polynomials
and DT-invariants of quivers. Annals of Mathematics. 2013;177(3):1147-1168.
doi:10.4007/annals.2013.177.3.8
apa: Hausel, T., Letellier, E., & Rodríguez Villegas, F. (2013). Positivity
for Kac polynomials and DT-invariants of quivers. Annals of Mathematics.
Princeton University Press. https://doi.org/10.4007/annals.2013.177.3.8
chicago: Hausel, Tamás, Emmanuel Letellier, and Fernando Rodríguez Villegas. “Positivity
for Kac Polynomials and DT-Invariants of Quivers.” Annals of Mathematics.
Princeton University Press, 2013. https://doi.org/10.4007/annals.2013.177.3.8.
ieee: T. Hausel, E. Letellier, and F. Rodríguez Villegas, “Positivity for Kac polynomials
and DT-invariants of quivers,” Annals of Mathematics, vol. 177, no. 3.
Princeton University Press, pp. 1147–1168, 2013.
ista: Hausel T, Letellier E, Rodríguez Villegas F. 2013. Positivity for Kac polynomials
and DT-invariants of quivers. Annals of Mathematics. 177(3), 1147–1168.
mla: Hausel, Tamás, et al. “Positivity for Kac Polynomials and DT-Invariants of
Quivers.” Annals of Mathematics, vol. 177, no. 3, Princeton University
Press, 2013, pp. 1147–68, doi:10.4007/annals.2013.177.3.8.
short: T. Hausel, E. Letellier, F. Rodríguez Villegas, Annals of Mathematics 177
(2013) 1147–1168.
date_created: 2018-12-11T11:52:02Z
date_published: 2013-01-01T00:00:00Z
date_updated: 2021-01-12T06:50:47Z
day: '01'
doi: 10.4007/annals.2013.177.3.8
extern: 1
intvolume: ' 177'
issue: '3'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1204.2375
month: '01'
oa: 1
page: 1147 - 1168
publication: Annals of Mathematics
publication_status: published
publisher: Princeton University Press
publist_id: '5754'
quality_controlled: 0
status: public
title: Positivity for Kac polynomials and DT-invariants of quivers
type: journal_article
volume: 177
year: '2013'
...
---
_id: '1443'
abstract:
- lang: eng
text: 'Here we survey several results and conjectures on the cohomology of the total
space of the Hitchin system: the moduli space of semi-stable rank n and degree
d Higgs bundles on a complex algebraic curve C. The picture emerging is a dynamic
mixture of ideas originating in theoretical physics such as gauge theory and mirror
symmetry, Weil conjectures in arithmetic algebraic geometry, representation theory
of finite groups of Lie type and Langlands duality in number theory.'
alternative_title:
- Advanced Lectures in Mathematics
author:
- first_name: Tamas
full_name: Tamas Hausel
id: 4A0666D8-F248-11E8-B48F-1D18A9856A87
last_name: Hausel
citation:
ama: 'Hausel T. Global topology of the Hitchin system. In: Handbook of Moduli:
Volume II. Vol 25. International Press; 2013:29-70.'
apa: 'Hausel, T. (2013). Global topology of the Hitchin system. In Handbook of
Moduli: Volume II (Vol. 25, pp. 29–70). International Press.'
chicago: 'Hausel, Tamás. “Global Topology of the Hitchin System.” In Handbook
of Moduli: Volume II, 25:29–70. International Press, 2013.'
ieee: 'T. Hausel, “Global topology of the Hitchin system,” in Handbook of Moduli:
Volume II, vol. 25, International Press, 2013, pp. 29–70.'
ista: 'Hausel T. 2013.Global topology of the Hitchin system. In: Handbook of Moduli:
Volume II. Advanced Lectures in Mathematics, vol. 25, 29–70.'
mla: 'Hausel, Tamás. “Global Topology of the Hitchin System.” Handbook of Moduli:
Volume II, vol. 25, International Press, 2013, pp. 29–70.'
short: 'T. Hausel, in:, Handbook of Moduli: Volume II, International Press, 2013,
pp. 29–70.'
date_created: 2018-12-11T11:52:03Z
date_published: 2013-03-15T00:00:00Z
date_updated: 2021-01-12T06:50:47Z
day: '15'
extern: 1
intvolume: ' 25'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1102.1717
month: '03'
oa: 1
page: 29 - 70
publication: 'Handbook of Moduli: Volume II'
publication_status: published
publisher: International Press
publist_id: '5753'
quality_controlled: 0
status: public
title: Global topology of the Hitchin system
type: book_chapter
volume: 25
year: '2013'
...
---
_id: '1469'
abstract:
- lang: eng
text: We study connections between the topology of generic character varieties of
fundamental groups of punctured Riemann surfaces, Macdonald polynomials, quiver
representations, Hilbert schemes on Cx × Cx, modular forms and multiplicities
in tensor products of irreducible characters of finite general linear groups.
acknowledgement: During the preparation of this paper TH was supported by a Royal
Society University Research Fellowship at the University of Oxford. EL was supported
by ANR-09-JCJC-0102-01. FRV was supported by NSF grant DMS-0200605, an FRA from
the University of Texas at Austin, EPSRC grant EP/G027110/1, Visiting Fellowships
at All Souls and Wadham Colleges in Oxford and a Research Scholarship from the Clay
Mathematical Institute.
author:
- first_name: Tamas
full_name: Tamas Hausel
id: 4A0666D8-F248-11E8-B48F-1D18A9856A87
last_name: Hausel
- first_name: Emmanuel
full_name: Letellier, Emmanuel
last_name: Letellier
- first_name: Fernando
full_name: Rodríguez Villegas, Fernando
last_name: Rodríguez Villegas
citation:
ama: Hausel T, Letellier E, Rodríguez Villegas F. Arithmetic harmonic analysis on
character and quiver varieties II. Advances in Mathematics. 2013;234:85-128.
doi:10.1016/j.aim.2012.10.009
apa: Hausel, T., Letellier, E., & Rodríguez Villegas, F. (2013). Arithmetic
harmonic analysis on character and quiver varieties II. Advances in Mathematics.
Academic Press. https://doi.org/10.1016/j.aim.2012.10.009
chicago: Hausel, Tamás, Emmanuel Letellier, and Fernando Rodríguez Villegas. “Arithmetic
Harmonic Analysis on Character and Quiver Varieties II.” Advances in Mathematics.
Academic Press, 2013. https://doi.org/10.1016/j.aim.2012.10.009.
ieee: T. Hausel, E. Letellier, and F. Rodríguez Villegas, “Arithmetic harmonic analysis
on character and quiver varieties II,” Advances in Mathematics, vol. 234.
Academic Press, pp. 85–128, 2013.
ista: Hausel T, Letellier E, Rodríguez Villegas F. 2013. Arithmetic harmonic analysis
on character and quiver varieties II. Advances in Mathematics. 234, 85–128.
mla: Hausel, Tamás, et al. “Arithmetic Harmonic Analysis on Character and Quiver
Varieties II.” Advances in Mathematics, vol. 234, Academic Press, 2013,
pp. 85–128, doi:10.1016/j.aim.2012.10.009.
short: T. Hausel, E. Letellier, F. Rodríguez Villegas, Advances in Mathematics 234
(2013) 85–128.
date_created: 2018-12-11T11:52:12Z
date_published: 2013-02-15T00:00:00Z
date_updated: 2021-01-12T06:50:57Z
day: '15'
doi: 10.1016/j.aim.2012.10.009
extern: 1
intvolume: ' 234'
month: '02'
page: 85 - 128
publication: Advances in Mathematics
publication_status: published
publisher: Academic Press
publist_id: '5724'
quality_controlled: 0
status: public
title: Arithmetic harmonic analysis on character and quiver varieties II
type: journal_article
volume: 234
year: '2013'
...
---
_id: '1470'
abstract:
- lang: eng
text: We show that a natural isomorphism between the rational cohomology groups
of the two zero-dimensional Hilbert schemes of n-points of two surfaces, the affine
plane minus the axes and the cotangent bundle of an elliptic curve, exchanges
the weight filtration on the first set of cohomology groups with the perverse
Leray filtration associated with a natural fibration on the second set of cohomology
groups. We discuss some associated hard Lefschetz phenomena.
acknowledgement: Mark Andrea A. de Cataldo was partially supported by N.S.A. and N.S.F.
Tamás Hausel was supported by a Royal Society University Research Fellowship. Luca
Migliorini was partially supported by PRIN 2007 project "Spazi di moduli e teoria
di Lie"
author:
- first_name: Mark
full_name: De Cataldo, Mark A
last_name: De Cataldo
- first_name: Tamas
full_name: Tamas Hausel
id: 4A0666D8-F248-11E8-B48F-1D18A9856A87
last_name: Hausel
- first_name: Luca
full_name: Migliorini, Luca
last_name: Migliorini
citation:
ama: De Cataldo M, Hausel T, Migliorini L. Exchange between perverse and weight
filtration for the Hilbert schemes of points of two surfaces. Journal of Singularities.
2013;7:23-38. doi:10.5427/jsing.2013.7c
apa: De Cataldo, M., Hausel, T., & Migliorini, L. (2013). Exchange between perverse
and weight filtration for the Hilbert schemes of points of two surfaces. Journal
of Singularities. Worldwide Center of Mathematics. https://doi.org/10.5427/jsing.2013.7c
chicago: De Cataldo, Mark, Tamás Hausel, and Luca Migliorini. “Exchange between
Perverse and Weight Filtration for the Hilbert Schemes of Points of Two Surfaces.”
Journal of Singularities. Worldwide Center of Mathematics, 2013. https://doi.org/10.5427/jsing.2013.7c.
ieee: M. De Cataldo, T. Hausel, and L. Migliorini, “Exchange between perverse and
weight filtration for the Hilbert schemes of points of two surfaces,” Journal
of Singularities, vol. 7. Worldwide Center of Mathematics, pp. 23–38, 2013.
ista: De Cataldo M, Hausel T, Migliorini L. 2013. Exchange between perverse and
weight filtration for the Hilbert schemes of points of two surfaces. Journal of
Singularities. 7, 23–38.
mla: De Cataldo, Mark, et al. “Exchange between Perverse and Weight Filtration for
the Hilbert Schemes of Points of Two Surfaces.” Journal of Singularities,
vol. 7, Worldwide Center of Mathematics, 2013, pp. 23–38, doi:10.5427/jsing.2013.7c.
short: M. De Cataldo, T. Hausel, L. Migliorini, Journal of Singularities 7 (2013)
23–38.
date_created: 2018-12-11T11:52:12Z
date_published: 2013-01-01T00:00:00Z
date_updated: 2021-01-12T06:50:58Z
day: '01'
doi: 10.5427/jsing.2013.7c
extern: 1
intvolume: ' 7'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1012.2583
month: '01'
oa: 1
page: 23 - 38
publication: Journal of Singularities
publication_status: published
publisher: Worldwide Center of Mathematics
publist_id: '5725'
quality_controlled: 0
status: public
title: Exchange between perverse and weight filtration for the Hilbert schemes of
points of two surfaces
type: journal_article
volume: 7
year: '2013'
...
---
_id: '11758'
article_processing_charge: No
article_type: letter_note
author:
- first_name: Luca
full_name: Aceto, Luca
last_name: Aceto
- first_name: Monika H
full_name: Henzinger, Monika H
id: 540c9bbd-f2de-11ec-812d-d04a5be85630
last_name: Henzinger
orcid: 0000-0002-5008-6530
- first_name: Jiří
full_name: Sgall, Jiří
last_name: Sgall
citation:
ama: Aceto L, Henzinger MH, Sgall J. 38th International Colloquium on Automata,
Languages and Programming. Information and Computation. 2013;222(1):1.
doi:10.1016/j.ic.2012.11.002
apa: Aceto, L., Henzinger, M. H., & Sgall, J. (2013). 38th International Colloquium
on Automata, Languages and Programming. Information and Computation. Elsevier.
https://doi.org/10.1016/j.ic.2012.11.002
chicago: Aceto, Luca, Monika H Henzinger, and Jiří Sgall. “38th International Colloquium
on Automata, Languages and Programming.” Information and Computation. Elsevier,
2013. https://doi.org/10.1016/j.ic.2012.11.002.
ieee: L. Aceto, M. H. Henzinger, and J. Sgall, “38th International Colloquium on
Automata, Languages and Programming,” Information and Computation, vol.
222, no. 1. Elsevier, p. 1, 2013.
ista: Aceto L, Henzinger MH, Sgall J. 2013. 38th International Colloquium on Automata,
Languages and Programming. Information and Computation. 222(1), 1.
mla: Aceto, Luca, et al. “38th International Colloquium on Automata, Languages and
Programming.” Information and Computation, vol. 222, no. 1, Elsevier, 2013,
p. 1, doi:10.1016/j.ic.2012.11.002.
short: L. Aceto, M.H. Henzinger, J. Sgall, Information and Computation 222 (2013)
1.
date_created: 2022-08-08T11:25:34Z
date_published: 2013-01-01T00:00:00Z
date_updated: 2023-02-23T10:09:19Z
day: '01'
doi: 10.1016/j.ic.2012.11.002
extern: '1'
intvolume: ' 222'
issue: '1'
language:
- iso: eng
month: '01'
oa_version: None
page: '1'
publication: Information and Computation
publication_identifier:
issn:
- 0890-5401
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: 38th International Colloquium on Automata, Languages and Programming
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 222
year: '2013'
...
---
_id: '1726'
abstract:
- lang: eng
text: The development of a functional tissue requires coordination of the amplification
of progenitors and their differentiation into specific cell types. The molecular
basis for this coordination during myotome ontogeny is not well understood. Dermomytome
progenitors that colonize the myotome first acquire myocyte identity and subsequently
proliferate as Pax7-expressing progenitors before undergoing terminal differentiation.
We show that the dynamics of sonic hedgehog (Shh) signaling is crucial for this
transition in both avian and mouse embryos. Initially, Shh ligand emanating from
notochord/floor plate reaches the dermomyotome, where it both maintains the proliferation
of dermomyotome cells and promotes myogenic differentiation of progenitors that
colonized the myotome. Interfering with Shh signaling at this stage produces small
myotomes and accumulation of Pax7-expressing progenitors. An in vivo reporter
of Shh activity combined with mouse genetics revealed the existence of both activator
and repressor Shh activities operating on distinct subsets of cells during the
epaxial myotomal maturation. In contrast to observations in mice, in avians Shh
promotes the differentiation of both epaxial and hypaxial myotome domains. Subsequently,
myogenic progenitors become refractory to Shh; this is likely to occur at the
level of, or upstream of, smoothened signaling. The end of responsiveness to Shh
coincides with, and is thus likely to enable, the transition into the growth phase
of the myotome.
acknowledgement: This study was supported by grants from the Israel Science Foundation
(ISF) [11/09 to C.K.]; the Association Francaise contre les Myopathies (AFM) [15642
to C.K.]; the German Research Foundation (DFG) [UN 34/27-1 to C.K.]; the UK Medical
Research Council (MRC) [U117560541 to J.B. and A.K.]; Fondation Pour la Recherche
Médicale (FRM) (post-doctoral fellowship to V.R.). Deposited in PMC for release
after 6 months
author:
- first_name: Nitza
full_name: Kahane, Nitza
last_name: Kahane
- first_name: Vanessa
full_name: Ribes, Vanessa
last_name: Ribes
- first_name: Anna
full_name: Anna Kicheva
id: 3959A2A0-F248-11E8-B48F-1D18A9856A87
last_name: Kicheva
orcid: 0000-0003-4509-4998
- first_name: James
full_name: Briscoe, James
last_name: Briscoe
- first_name: Chaya
full_name: Kalcheim, Chaya
last_name: Kalcheim
citation:
ama: Kahane N, Ribes V, Kicheva A, Briscoe J, Kalcheim C. The transition from differentiation
to growth during dermomyotome-derived myogenesis depends on temporally restricted
hedgehog signaling. Development. 2013;140(8):1740-1750. doi:10.1242/dev.092726
apa: Kahane, N., Ribes, V., Kicheva, A., Briscoe, J., & Kalcheim, C. (2013).
The transition from differentiation to growth during dermomyotome-derived myogenesis
depends on temporally restricted hedgehog signaling. Development. Company
of Biologists. https://doi.org/10.1242/dev.092726
chicago: Kahane, Nitza, Vanessa Ribes, Anna Kicheva, James Briscoe, and Chaya Kalcheim.
“The Transition from Differentiation to Growth during Dermomyotome-Derived Myogenesis
Depends on Temporally Restricted Hedgehog Signaling.” Development. Company
of Biologists, 2013. https://doi.org/10.1242/dev.092726.
ieee: N. Kahane, V. Ribes, A. Kicheva, J. Briscoe, and C. Kalcheim, “The transition
from differentiation to growth during dermomyotome-derived myogenesis depends
on temporally restricted hedgehog signaling,” Development, vol. 140, no.
8. Company of Biologists, pp. 1740–1750, 2013.
ista: Kahane N, Ribes V, Kicheva A, Briscoe J, Kalcheim C. 2013. The transition
from differentiation to growth during dermomyotome-derived myogenesis depends
on temporally restricted hedgehog signaling. Development. 140(8), 1740–1750.
mla: Kahane, Nitza, et al. “The Transition from Differentiation to Growth during
Dermomyotome-Derived Myogenesis Depends on Temporally Restricted Hedgehog Signaling.”
Development, vol. 140, no. 8, Company of Biologists, 2013, pp. 1740–50,
doi:10.1242/dev.092726.
short: N. Kahane, V. Ribes, A. Kicheva, J. Briscoe, C. Kalcheim, Development 140
(2013) 1740–1750.
date_created: 2018-12-11T11:53:41Z
date_published: 2013-04-18T00:00:00Z
date_updated: 2021-01-12T06:52:47Z
day: '18'
doi: 10.1242/dev.092726
extern: 1
intvolume: ' 140'
issue: '8'
month: '04'
page: 1740 - 1750
publication: Development
publication_status: published
publisher: Company of Biologists
publist_id: '5402'
quality_controlled: 0
status: public
title: The transition from differentiation to growth during dermomyotome-derived myogenesis
depends on temporally restricted hedgehog signaling
type: journal_article
volume: 140
year: '2013'
...
---
_id: '1727'
abstract:
- lang: eng
text: 'Cells at different positions in a developing tissue receive different concentrations
of signaling molecules, called morphogens, and this influences their cell fate.
Morphogen concentration gradients have been proposed to control patterning as
well as growth in many developing tissues. Some outstanding questions about tissue
patterning by morphogen gradients are the following: What are the mechanisms that
regulate gradient formation and shape? Is the positional information encoded in
the gradient sufficiently precise to determine the positions of target gene domain
boundaries? What are the temporal dynamics of gradients and how do they relate
to patterning and growth? These questions are inherently quantitative in nature
and addressing them requires measuring morphogen concentrations in cells, levels
of downstream signaling activity, and kinetics of morphogen transport. Here we
first present methods for quantifying morphogen gradient shape in which the measurements
can be calibrated to reflect actual morphogen concentrations. We then discuss
using fluorescence recovery after photobleaching to study the kinetics of morphogen
transport at the tissue level. Finally, we present particle tracking as a method
to study morphogen intracellular trafficking.'
author:
- first_name: Anna
full_name: Anna Kicheva
id: 3959A2A0-F248-11E8-B48F-1D18A9856A87
last_name: Kicheva
orcid: 0000-0003-4509-4998
- first_name: Laurent
full_name: Holtzer, Laurent
last_name: Holtzer
- first_name: Ortrud
full_name: Wartlick, Ortrud
last_name: Wartlick
- first_name: Thomas
full_name: Schmidt, Thomas S
last_name: Schmidt
- first_name: Marcos
full_name: González-Gaitán, Marcos A
last_name: González Gaitán
citation:
ama: Kicheva A, Holtzer L, Wartlick O, Schmidt T, González Gaitán M. Quantitative
imaging of morphogen gradients in drosophila imaginal discs. Cold Spring Harbor
Protocols. 2013;8(5):387-403. doi:10.1101/pdb.top074237
apa: Kicheva, A., Holtzer, L., Wartlick, O., Schmidt, T., & González Gaitán,
M. (2013). Quantitative imaging of morphogen gradients in drosophila imaginal
discs. Cold Spring Harbor Protocols. Cold Spring Harbor Laboratory Press.
https://doi.org/10.1101/pdb.top074237
chicago: Kicheva, Anna, Laurent Holtzer, Ortrud Wartlick, Thomas Schmidt, and Marcos
González Gaitán. “Quantitative Imaging of Morphogen Gradients in Drosophila Imaginal
Discs.” Cold Spring Harbor Protocols. Cold Spring Harbor Laboratory Press,
2013. https://doi.org/10.1101/pdb.top074237.
ieee: A. Kicheva, L. Holtzer, O. Wartlick, T. Schmidt, and M. González Gaitán, “Quantitative
imaging of morphogen gradients in drosophila imaginal discs,” Cold Spring Harbor
Protocols, vol. 8, no. 5. Cold Spring Harbor Laboratory Press, pp. 387–403,
2013.
ista: Kicheva A, Holtzer L, Wartlick O, Schmidt T, González Gaitán M. 2013. Quantitative
imaging of morphogen gradients in drosophila imaginal discs. Cold Spring Harbor
Protocols. 8(5), 387–403.
mla: Kicheva, Anna, et al. “Quantitative Imaging of Morphogen Gradients in Drosophila
Imaginal Discs.” Cold Spring Harbor Protocols, vol. 8, no. 5, Cold Spring
Harbor Laboratory Press, 2013, pp. 387–403, doi:10.1101/pdb.top074237.
short: A. Kicheva, L. Holtzer, O. Wartlick, T. Schmidt, M. González Gaitán, Cold
Spring Harbor Protocols 8 (2013) 387–403.
date_created: 2018-12-11T11:53:41Z
date_published: 2013-05-01T00:00:00Z
date_updated: 2021-01-12T06:52:47Z
day: '01'
doi: 10.1101/pdb.top074237
extern: 1
intvolume: ' 8'
issue: '5'
month: '05'
page: 387 - 403
publication: Cold Spring Harbor Protocols
publication_status: published
publisher: Cold Spring Harbor Laboratory Press
publist_id: '5401'
quality_controlled: 0
status: public
title: Quantitative imaging of morphogen gradients in drosophila imaginal discs
type: journal_article
volume: 8
year: '2013'
...
---
_id: '1760'
abstract:
- lang: eng
text: We report on hole g-factor measurements in three terminal SiGe self-assembled
quantum dot devices with a top gate electrode positioned very close to the nanostructure.
Measurements of both the perpendicular as well as the parallel g-factor reveal
significant changes for a small modulation of the top gate voltage. From the observed
modulations, we estimate that, for realistic experimental conditions, hole spins
can be electrically manipulated with Rabi frequencies in the order of 100 MHz.
This work emphasises the potential of hole-based nano-devices for efficient spin
manipulation by means of the g-tensor modulation technique.
acknowledgement: We acknowledge the financial support from the Nanosciences Foundation
(Grenoble, France), the Commission for a Marie Curie Carrer Integration Grant, the
Austrian Science Fund (FWF) for a Lise-Meitner Fellowship (M1435-N30), the DOE under
Contract No. DE-FG02-08ER46482 (Yale), the European Starting Grant program, and
the Agence Nationale de la Recherche
author:
- first_name: Natalia
full_name: Ares, Natalia
last_name: Ares
- first_name: Georgios
full_name: Georgios Katsaros
id: 38DB5788-F248-11E8-B48F-1D18A9856A87
last_name: Katsaros
- first_name: Vitaly
full_name: Golovach, Vitaly N
last_name: Golovach
- first_name: Jianjun
full_name: Zhang, Jianjun
last_name: Zhang
- first_name: Aaron
full_name: Prager, Aaron A
last_name: Prager
- first_name: Leonid
full_name: Glazman, Leonid I
last_name: Glazman
- first_name: Oliver
full_name: Schmidt, Oliver G
last_name: Schmidt
- first_name: Silvano
full_name: De Franceschi, Silvano
last_name: De Franceschi
citation:
ama: Ares N, Katsaros G, Golovach V, et al. SiGe quantum dots for fast hole spin
Rabi oscillations. Applied Physics Letters. 2013;103(26). doi:10.1063/1.4858959
apa: Ares, N., Katsaros, G., Golovach, V., Zhang, J., Prager, A., Glazman, L., …
De Franceschi, S. (2013). SiGe quantum dots for fast hole spin Rabi oscillations.
Applied Physics Letters. American Institute of Physics. https://doi.org/10.1063/1.4858959
chicago: Ares, Natalia, Georgios Katsaros, Vitaly Golovach, Jianjun Zhang, Aaron
Prager, Leonid Glazman, Oliver Schmidt, and Silvano De Franceschi. “SiGe Quantum
Dots for Fast Hole Spin Rabi Oscillations.” Applied Physics Letters. American
Institute of Physics, 2013. https://doi.org/10.1063/1.4858959.
ieee: N. Ares et al., “SiGe quantum dots for fast hole spin Rabi oscillations,”
Applied Physics Letters, vol. 103, no. 26. American Institute of Physics,
2013.
ista: Ares N, Katsaros G, Golovach V, Zhang J, Prager A, Glazman L, Schmidt O, De
Franceschi S. 2013. SiGe quantum dots for fast hole spin Rabi oscillations. Applied
Physics Letters. 103(26).
mla: Ares, Natalia, et al. “SiGe Quantum Dots for Fast Hole Spin Rabi Oscillations.”
Applied Physics Letters, vol. 103, no. 26, American Institute of Physics,
2013, doi:10.1063/1.4858959.
short: N. Ares, G. Katsaros, V. Golovach, J. Zhang, A. Prager, L. Glazman, O. Schmidt,
S. De Franceschi, Applied Physics Letters 103 (2013).
date_created: 2018-12-11T11:53:52Z
date_published: 2013-01-23T00:00:00Z
date_updated: 2021-01-12T06:53:02Z
day: '23'
doi: 10.1063/1.4858959
extern: 1
intvolume: ' 103'
issue: '26'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1307.7196
month: '01'
oa: 1
publication: Applied Physics Letters
publication_status: published
publisher: American Institute of Physics
publist_id: '5364'
quality_controlled: 0
status: public
title: SiGe quantum dots for fast hole spin Rabi oscillations
type: journal_article
volume: 103
year: '2013'
...
---
_id: '1759'
abstract:
- lang: eng
text: We report an electric-field-induced giant modulation of the hole g factor
in SiGe nanocrystals. The observed effect is ascribed to a so-far overlooked contribution
to the g factor that stems from the mixing between heavy- and light-hole wave
functions. We show that the relative displacement between the confined heavy-
and light-hole states, occurring upon application of the electric field, alters
their mixing strength leading to a strong nonmonotonic modulation of the g factor.
acknowledgement: We acknowledge financial support from the Nanosciences Foundation
(Grenoble, France), DOE under Contract No. DEFG02-08ER46482 (Yale), the Agence Nationale
de la Recherche, and the European Starting Grant. G. K. acknowledges support from
the European Commission via a Marie Curie Carrer Integration Grant and the FWF for
a Lise-Meitner Fellowship
author:
- first_name: Natalia
full_name: Ares, Natalia
last_name: Ares
- first_name: Vitaly
full_name: Golovach, Vitaly N
last_name: Golovach
- first_name: Georgios
full_name: Georgios Katsaros
id: 38DB5788-F248-11E8-B48F-1D18A9856A87
last_name: Katsaros
- first_name: Mathieu
full_name: Stoffel, Mathieu
last_name: Stoffel
- first_name: Frank
full_name: Fournel, Frank
last_name: Fournel
- first_name: Leonid
full_name: Glazman, Leonid I
last_name: Glazman
- first_name: Oliver
full_name: Schmidt, Oliver G
last_name: Schmidt
- first_name: Silvano
full_name: De Franceschi, Silvano
last_name: De Franceschi
citation:
ama: Ares N, Golovach V, Katsaros G, et al. Nature of tunable hole g factors in
quantum dots. Physical Review Letters. 2013;110(4). doi:10.1103/PhysRevLett.110.046602
apa: Ares, N., Golovach, V., Katsaros, G., Stoffel, M., Fournel, F., Glazman, L.,
… De Franceschi, S. (2013). Nature of tunable hole g factors in quantum dots.
Physical Review Letters. American Physical Society. https://doi.org/10.1103/PhysRevLett.110.046602
chicago: Ares, Natalia, Vitaly Golovach, Georgios Katsaros, Mathieu Stoffel, Frank
Fournel, Leonid Glazman, Oliver Schmidt, and Silvano De Franceschi. “Nature of
Tunable Hole g Factors in Quantum Dots.” Physical Review Letters. American
Physical Society, 2013. https://doi.org/10.1103/PhysRevLett.110.046602.
ieee: N. Ares et al., “Nature of tunable hole g factors in quantum dots,”
Physical Review Letters, vol. 110, no. 4. American Physical Society, 2013.
ista: Ares N, Golovach V, Katsaros G, Stoffel M, Fournel F, Glazman L, Schmidt O,
De Franceschi S. 2013. Nature of tunable hole g factors in quantum dots. Physical
Review Letters. 110(4).
mla: Ares, Natalia, et al. “Nature of Tunable Hole g Factors in Quantum Dots.” Physical
Review Letters, vol. 110, no. 4, American Physical Society, 2013, doi:10.1103/PhysRevLett.110.046602.
short: N. Ares, V. Golovach, G. Katsaros, M. Stoffel, F. Fournel, L. Glazman, O.
Schmidt, S. De Franceschi, Physical Review Letters 110 (2013).
date_created: 2018-12-11T11:53:51Z
date_published: 2013-01-23T00:00:00Z
date_updated: 2021-01-12T06:53:01Z
day: '23'
doi: 10.1103/PhysRevLett.110.046602
extern: 1
intvolume: ' 110'
issue: '4'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1208.0476
month: '01'
oa: 1
publication: Physical Review Letters
publication_status: published
publisher: American Physical Society
publist_id: '5365'
quality_controlled: 0
status: public
title: Nature of tunable hole g factors in quantum dots
type: journal_article
volume: 110
year: '2013'
...
---
_id: '1785'
abstract:
- lang: eng
text: The geometric aspects of quantum mechanics are emphasized most prominently
by the concept of geometric phases, which are acquired whenever a quantum system
evolves along a path in Hilbert space, that is, the space of quantum states of
the system. The geometric phase is determined only by the shape of this path and
is, in its simplest form, a real number. However, if the system has degenerate
energy levels, then matrix-valued geometric state transformations, known as non-Abelian
holonomies-the effect of which depends on the order of two consecutive paths-can
be obtained. They are important, for example, for the creation of synthetic gauge
fields in cold atomic gases or the description of non-Abelian anyon statistics.
Moreover, there are proposals to exploit non-Abelian holonomic gates for the purposes
of noise-resilient quantum computation. In contrast to Abelian geometric operations,
non-Abelian ones have been observed only in nuclear quadrupole resonance experiments
with a large number of spins, and without full characterization of the geometric
process and its non-commutative nature. Here we realize non-Abelian non-adiabatic
holonomic quantum operations on a single, superconducting, artificial three-level
atom by applying a well-controlled, two-tone microwave drive. Using quantum process
tomography, we determine fidelities of the resulting non-commuting gates that
exceed 95 per cent. We show that two different quantum gates, originating from
two distinct paths in Hilbert space, yield non-equivalent transformations when
applied in different orders. This provides evidence for the non-Abelian character
of the implemented holonomic quantum operations. In combination with a non-trivial
two-quantum-bit gate, our method suggests a way to universal holonomic quantum
computing.
acknowledgement: This work is supported financially by GEOMDISS, the Swiss National
Science Foundation and ETH Zurich
author:
- first_name: Abdufarrukh
full_name: Abdumalikov, Abdufarrukh A
last_name: Abdumalikov
- first_name: Johannes M
full_name: Johannes Fink
id: 4B591CBA-F248-11E8-B48F-1D18A9856A87
last_name: Fink
orcid: 0000-0001-8112-028X
- first_name: K
full_name: Juliusson, K
last_name: Juliusson
- first_name: M
full_name: Pechal, M
last_name: Pechal
- first_name: Stefan
full_name: Berger, Stefan T
last_name: Berger
- first_name: Andreas
full_name: Wallraff, Andreas
last_name: Wallraff
- first_name: Stefan
full_name: Filipp, Stefan
last_name: Filipp
citation:
ama: Abdumalikov A, Fink JM, Juliusson K, et al. Experimental realization of non-Abelian
non-adiabatic geometric gates. Nature. 2013;496(7446):482-485. doi:10.1038/nature12010
apa: Abdumalikov, A., Fink, J. M., Juliusson, K., Pechal, M., Berger, S., Wallraff,
A., & Filipp, S. (2013). Experimental realization of non-Abelian non-adiabatic
geometric gates. Nature. Nature Publishing Group. https://doi.org/10.1038/nature12010
chicago: Abdumalikov, Abdufarrukh, Johannes M Fink, K Juliusson, M Pechal, Stefan
Berger, Andreas Wallraff, and Stefan Filipp. “Experimental Realization of Non-Abelian
Non-Adiabatic Geometric Gates.” Nature. Nature Publishing Group, 2013.
https://doi.org/10.1038/nature12010.
ieee: A. Abdumalikov et al., “Experimental realization of non-Abelian non-adiabatic
geometric gates,” Nature, vol. 496, no. 7446. Nature Publishing Group,
pp. 482–485, 2013.
ista: Abdumalikov A, Fink JM, Juliusson K, Pechal M, Berger S, Wallraff A, Filipp
S. 2013. Experimental realization of non-Abelian non-adiabatic geometric gates.
Nature. 496(7446), 482–485.
mla: Abdumalikov, Abdufarrukh, et al. “Experimental Realization of Non-Abelian Non-Adiabatic
Geometric Gates.” Nature, vol. 496, no. 7446, Nature Publishing Group,
2013, pp. 482–85, doi:10.1038/nature12010.
short: A. Abdumalikov, J.M. Fink, K. Juliusson, M. Pechal, S. Berger, A. Wallraff,
S. Filipp, Nature 496 (2013) 482–485.
date_created: 2018-12-11T11:54:00Z
date_published: 2013-04-25T00:00:00Z
date_updated: 2021-01-12T06:53:11Z
day: '25'
doi: 10.1038/nature12010
extern: 1
intvolume: ' 496'
issue: '7446'
month: '04'
page: 482 - 485
publication: Nature
publication_status: published
publisher: Nature Publishing Group
publist_id: '5329'
quality_controlled: 0
status: public
title: Experimental realization of non-Abelian non-adiabatic geometric gates
type: journal_article
volume: 496
year: '2013'
...