--- _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' ...