--- _id: '6609' abstract: - lang: eng text: Mechanical systems facilitate the development of a hybrid quantum technology comprising electrical, optical, atomic and acoustic degrees of freedom1, and entanglement is essential to realize quantum-enabled devices. Continuous-variable entangled fields—known as Einstein–Podolsky–Rosen (EPR) states—are spatially separated two-mode squeezed states that can be used for quantum teleportation and quantum communication2. In the optical domain, EPR states are typically generated using nondegenerate optical amplifiers3, and at microwave frequencies Josephson circuits can serve as a nonlinear medium4,5,6. An outstanding goal is to deterministically generate and distribute entangled states with a mechanical oscillator, which requires a carefully arranged balance between excitation, cooling and dissipation in an ultralow noise environment. Here we observe stationary emission of path-entangled microwave radiation from a parametrically driven 30-micrometre-long silicon nanostring oscillator, squeezing the joint field operators of two thermal modes by 3.40 decibels below the vacuum level. The motion of this micromechanical system correlates up to 50 photons per second per hertz, giving rise to a quantum discord that is robust with respect to microwave noise7. Such generalized quantum correlations of separable states are important for quantum-enhanced detection8 and provide direct evidence of the non-classical nature of the mechanical oscillator without directly measuring its state9. This noninvasive measurement scheme allows to infer information about otherwise inaccessible objects, with potential implications for sensing, open-system dynamics and fundamental tests of quantum gravity. In the future, similar on-chip devices could be used to entangle subsystems on very different energy scales, such as microwave and optical photons. acknowledged_ssus: - _id: NanoFab article_processing_charge: No author: - first_name: Shabir full_name: Barzanjeh, Shabir id: 2D25E1F6-F248-11E8-B48F-1D18A9856A87 last_name: Barzanjeh orcid: 0000-0003-0415-1423 - first_name: Elena full_name: Redchenko, Elena id: 2C21D6E8-F248-11E8-B48F-1D18A9856A87 last_name: Redchenko - first_name: Matilda full_name: Peruzzo, Matilda id: 3F920B30-F248-11E8-B48F-1D18A9856A87 last_name: Peruzzo orcid: 0000-0002-3415-4628 - first_name: Matthias full_name: Wulf, Matthias id: 45598606-F248-11E8-B48F-1D18A9856A87 last_name: Wulf orcid: 0000-0001-6613-1378 - first_name: Dylan full_name: Lewis, Dylan last_name: Lewis - first_name: Georg M full_name: Arnold, Georg M id: 3770C838-F248-11E8-B48F-1D18A9856A87 last_name: Arnold orcid: 0000-0003-1397-7876 - first_name: Johannes M full_name: Fink, Johannes M id: 4B591CBA-F248-11E8-B48F-1D18A9856A87 last_name: Fink orcid: 0000-0001-8112-028X citation: ama: Barzanjeh S, Redchenko E, Peruzzo M, et al. Stationary entangled radiation from micromechanical motion. Nature. 2019;570:480-483. doi:10.1038/s41586-019-1320-2 apa: Barzanjeh, S., Redchenko, E., Peruzzo, M., Wulf, M., Lewis, D., Arnold, G. M., & Fink, J. M. (2019). Stationary entangled radiation from micromechanical motion. Nature. Nature Publishing Group. https://doi.org/10.1038/s41586-019-1320-2 chicago: Barzanjeh, Shabir, Elena Redchenko, Matilda Peruzzo, Matthias Wulf, Dylan Lewis, Georg M Arnold, and Johannes M Fink. “Stationary Entangled Radiation from Micromechanical Motion.” Nature. Nature Publishing Group, 2019. https://doi.org/10.1038/s41586-019-1320-2. ieee: S. Barzanjeh et al., “Stationary entangled radiation from micromechanical motion,” Nature, vol. 570. Nature Publishing Group, pp. 480–483, 2019. ista: Barzanjeh S, Redchenko E, Peruzzo M, Wulf M, Lewis D, Arnold GM, Fink JM. 2019. Stationary entangled radiation from micromechanical motion. Nature. 570, 480–483. mla: Barzanjeh, Shabir, et al. “Stationary Entangled Radiation from Micromechanical Motion.” Nature, vol. 570, Nature Publishing Group, 2019, pp. 480–83, doi:10.1038/s41586-019-1320-2. short: S. Barzanjeh, E. Redchenko, M. Peruzzo, M. Wulf, D. Lewis, G.M. Arnold, J.M. Fink, Nature 570 (2019) 480–483. date_created: 2019-07-07T21:59:20Z date_published: 2019-06-27T00:00:00Z date_updated: 2023-08-28T12:29:56Z day: '27' department: - _id: JoFi doi: 10.1038/s41586-019-1320-2 ec_funded: 1 external_id: arxiv: - '1809.05865' isi: - '000472860000042' intvolume: ' 570' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1809.05865 month: '06' oa: 1 oa_version: Preprint page: 480-483 project: - _id: 257EB838-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '732894' name: Hybrid Optomechanical Technologies - _id: 26336814-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '758053' name: A Fiber Optic Transceiver for Superconducting Qubits - _id: 258047B6-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '707438' name: 'Microwave-to-Optical Quantum Link: Quantum Teleportation and Quantum Illumination with cavity Optomechanics' - _id: 2671EB66-B435-11E9-9278-68D0E5697425 name: Coherent on-chip conversion of superconducting qubit signals from microwaves to optical frequencies publication: Nature publication_status: published publisher: Nature Publishing Group quality_controlled: '1' scopus_import: '1' status: public title: Stationary entangled radiation from micromechanical motion type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 570 year: '2019' ... --- _id: '6596' abstract: - lang: eng text: It is well known that many problems in image recovery, signal processing, and machine learning can be modeled as finding zeros of the sum of maximal monotone and Lipschitz continuous monotone operators. Many papers have studied forward-backward splitting methods for finding zeros of the sum of two monotone operators in Hilbert spaces. Most of the proposed splitting methods in the literature have been proposed for the sum of maximal monotone and inverse-strongly monotone operators in Hilbert spaces. In this paper, we consider splitting methods for finding zeros of the sum of maximal monotone operators and Lipschitz continuous monotone operators in Banach spaces. We obtain weak and strong convergence results for the zeros of the sum of maximal monotone and Lipschitz continuous monotone operators in Banach spaces. Many already studied problems in the literature can be considered as special cases of this paper. article_number: '138' article_processing_charge: Yes (via OA deal) article_type: original author: - first_name: Yekini full_name: Shehu, Yekini id: 3FC7CB58-F248-11E8-B48F-1D18A9856A87 last_name: Shehu orcid: 0000-0001-9224-7139 citation: ama: Shehu Y. Convergence results of forward-backward algorithms for sum of monotone operators in Banach spaces. Results in Mathematics. 2019;74(4). doi:10.1007/s00025-019-1061-4 apa: Shehu, Y. (2019). Convergence results of forward-backward algorithms for sum of monotone operators in Banach spaces. Results in Mathematics. Springer. https://doi.org/10.1007/s00025-019-1061-4 chicago: Shehu, Yekini. “Convergence Results of Forward-Backward Algorithms for Sum of Monotone Operators in Banach Spaces.” Results in Mathematics. Springer, 2019. https://doi.org/10.1007/s00025-019-1061-4. ieee: Y. Shehu, “Convergence results of forward-backward algorithms for sum of monotone operators in Banach spaces,” Results in Mathematics, vol. 74, no. 4. Springer, 2019. ista: Shehu Y. 2019. Convergence results of forward-backward algorithms for sum of monotone operators in Banach spaces. Results in Mathematics. 74(4), 138. mla: Shehu, Yekini. “Convergence Results of Forward-Backward Algorithms for Sum of Monotone Operators in Banach Spaces.” Results in Mathematics, vol. 74, no. 4, 138, Springer, 2019, doi:10.1007/s00025-019-1061-4. short: Y. Shehu, Results in Mathematics 74 (2019). date_created: 2019-06-29T10:11:30Z date_published: 2019-12-01T00:00:00Z date_updated: 2023-08-28T12:26:22Z day: '01' ddc: - '000' department: - _id: VlKo doi: 10.1007/s00025-019-1061-4 ec_funded: 1 external_id: arxiv: - '2101.09068' isi: - '000473237500002' file: - access_level: open_access checksum: c6d18cb1e16fc0c36a0e0f30b4ebbc2d content_type: application/pdf creator: kschuh date_created: 2019-07-03T15:20:40Z date_updated: 2020-07-14T12:47:34Z file_id: '6605' file_name: Springer_2019_Shehu.pdf file_size: 466942 relation: main_file file_date_updated: 2020-07-14T12:47:34Z has_accepted_license: '1' intvolume: ' 74' isi: 1 issue: '4' language: - iso: eng license: https://creativecommons.org/licenses/by/4.0/ month: '12' oa: 1 oa_version: Published Version project: - _id: 25FBA906-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '616160' name: 'Discrete Optimization in Computer Vision: Theory and Practice' - _id: B67AFEDC-15C9-11EA-A837-991A96BB2854 name: IST Austria Open Access Fund publication: Results in Mathematics publication_identifier: eissn: - 1420-9012 issn: - 1422-6383 publication_status: published publisher: Springer quality_controlled: '1' scopus_import: '1' status: public title: Convergence results of forward-backward algorithms for sum of monotone operators in Banach spaces tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 74 year: '2019' ... --- _id: '6601' abstract: - lang: eng text: There is increasing evidence that both mechanical and biochemical signals play important roles in development and disease. The development of complex organisms, in particular, has been proposed to rely on the feedback between mechanical and biochemical patterning events. This feedback occurs at the molecular level via mechanosensation but can also arise as an emergent property of the system at the cellular and tissue level. In recent years, dynamic changes in tissue geometry, flow, rheology, and cell fate specification have emerged as key platforms of mechanochemical feedback loops in multiple processes. Here, we review recent experimental and theoretical advances in understanding how these feedbacks function in development and disease. article_processing_charge: No article_type: review author: - first_name: Edouard B full_name: Hannezo, Edouard B id: 3A9DB764-F248-11E8-B48F-1D18A9856A87 last_name: Hannezo orcid: 0000-0001-6005-1561 - first_name: Carl-Philipp J full_name: Heisenberg, Carl-Philipp J id: 39427864-F248-11E8-B48F-1D18A9856A87 last_name: Heisenberg orcid: 0000-0002-0912-4566 citation: ama: Hannezo EB, Heisenberg C-PJ. Mechanochemical feedback loops in development and disease. Cell. 2019;178(1):12-25. doi:10.1016/j.cell.2019.05.052 apa: Hannezo, E. B., & Heisenberg, C.-P. J. (2019). Mechanochemical feedback loops in development and disease. Cell. Elsevier. https://doi.org/10.1016/j.cell.2019.05.052 chicago: Hannezo, Edouard B, and Carl-Philipp J Heisenberg. “Mechanochemical Feedback Loops in Development and Disease.” Cell. Elsevier, 2019. https://doi.org/10.1016/j.cell.2019.05.052. ieee: E. B. Hannezo and C.-P. J. Heisenberg, “Mechanochemical feedback loops in development and disease,” Cell, vol. 178, no. 1. Elsevier, pp. 12–25, 2019. ista: Hannezo EB, Heisenberg C-PJ. 2019. Mechanochemical feedback loops in development and disease. Cell. 178(1), 12–25. mla: Hannezo, Edouard B., and Carl-Philipp J. Heisenberg. “Mechanochemical Feedback Loops in Development and Disease.” Cell, vol. 178, no. 1, Elsevier, 2019, pp. 12–25, doi:10.1016/j.cell.2019.05.052. short: E.B. Hannezo, C.-P.J. Heisenberg, Cell 178 (2019) 12–25. date_created: 2019-06-30T21:59:11Z date_published: 2019-07-27T00:00:00Z date_updated: 2023-08-28T12:25:21Z day: '27' department: - _id: CaHe - _id: EdHa doi: 10.1016/j.cell.2019.05.052 ec_funded: 1 external_id: isi: - '000473002700005' pmid: - '31251912' intvolume: ' 178' isi: 1 issue: '1' language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.1016/j.cell.2019.05.052 month: '07' oa: 1 oa_version: Published Version page: 12-25 pmid: 1 project: - _id: 260F1432-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '742573' name: Interaction and feedback between cell mechanics and fate specification in vertebrate gastrulation - _id: 268294B6-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P31639 name: Active mechano-chemical description of the cell cytoskeleton publication: Cell publication_identifier: issn: - '00928674' publication_status: published publisher: Elsevier quality_controlled: '1' scopus_import: '1' status: public title: Mechanochemical feedback loops in development and disease type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 178 year: '2019' ... --- _id: '6617' abstract: - lang: eng text: 'The effective large-scale properties of materials with random heterogeneities on a small scale are typically determined by the method of representative volumes: a sample of the random material is chosen—the representative volume—and its effective properties are computed by the cell formula. Intuitively, for a fixed sample size it should be possible to increase the accuracy of the method by choosing a material sample which captures the statistical properties of the material particularly well; for example, for a composite material consisting of two constituents, one would select a representative volume in which the volume fraction of the constituents matches closely with their volume fraction in the overall material. Inspired by similar attempts in materials science, Le Bris, Legoll and Minvielle have designed a selection approach for representative volumes which performs remarkably well in numerical examples of linear materials with moderate contrast. In the present work, we provide a rigorous analysis of this selection approach for representative volumes in the context of stochastic homogenization of linear elliptic equations. In particular, we prove that the method essentially never performs worse than a random selection of the material sample and may perform much better if the selection criterion for the material samples is chosen suitably.' article_processing_charge: Yes (via OA deal) article_type: original author: - first_name: Julian L full_name: Fischer, Julian L id: 2C12A0B0-F248-11E8-B48F-1D18A9856A87 last_name: Fischer orcid: 0000-0002-0479-558X citation: ama: Fischer JL. The choice of representative volumes in the approximation of effective properties of random materials. Archive for Rational Mechanics and Analysis. 2019;234(2):635–726. doi:10.1007/s00205-019-01400-w apa: Fischer, J. L. (2019). The choice of representative volumes in the approximation of effective properties of random materials. Archive for Rational Mechanics and Analysis. Springer. https://doi.org/10.1007/s00205-019-01400-w chicago: Fischer, Julian L. “The Choice of Representative Volumes in the Approximation of Effective Properties of Random Materials.” Archive for Rational Mechanics and Analysis. Springer, 2019. https://doi.org/10.1007/s00205-019-01400-w. ieee: J. L. Fischer, “The choice of representative volumes in the approximation of effective properties of random materials,” Archive for Rational Mechanics and Analysis, vol. 234, no. 2. Springer, pp. 635–726, 2019. ista: Fischer JL. 2019. The choice of representative volumes in the approximation of effective properties of random materials. Archive for Rational Mechanics and Analysis. 234(2), 635–726. mla: Fischer, Julian L. “The Choice of Representative Volumes in the Approximation of Effective Properties of Random Materials.” Archive for Rational Mechanics and Analysis, vol. 234, no. 2, Springer, 2019, pp. 635–726, doi:10.1007/s00205-019-01400-w. short: J.L. Fischer, Archive for Rational Mechanics and Analysis 234 (2019) 635–726. date_created: 2019-07-07T21:59:23Z date_published: 2019-11-01T00:00:00Z date_updated: 2023-08-28T12:31:21Z day: '01' ddc: - '500' department: - _id: JuFi doi: 10.1007/s00205-019-01400-w external_id: arxiv: - '1807.00834' isi: - '000482386000006' file: - access_level: open_access checksum: 4cff75fa6addb0770991ad9c474ab404 content_type: application/pdf creator: kschuh date_created: 2019-07-08T15:56:47Z date_updated: 2020-07-14T12:47:34Z file_id: '6626' file_name: Springer_2019_Fischer.pdf file_size: 1377659 relation: main_file file_date_updated: 2020-07-14T12:47:34Z has_accepted_license: '1' intvolume: ' 234' isi: 1 issue: '2' language: - iso: eng month: '11' oa: 1 oa_version: Published Version page: 635–726 project: - _id: B67AFEDC-15C9-11EA-A837-991A96BB2854 name: IST Austria Open Access Fund publication: Archive for Rational Mechanics and Analysis publication_identifier: eissn: - 1432-0673 issn: - 0003-9527 publication_status: published publisher: Springer quality_controlled: '1' scopus_import: '1' status: public title: The choice of representative volumes in the approximation of effective properties of random materials tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 234 year: '2019' ... --- _id: '6611' abstract: - lang: eng text: 'Cell polarity is crucial for the coordinated development of all multicellular organisms. In plants, this is exemplified by the PIN-FORMED (PIN) efflux carriers of the phytohormone auxin: The polar subcellular localization of the PINs is instructive to the directional intercellular auxin transport, and thus to a plethora of auxin-regulated growth and developmental processes. Despite its importance, the regulation of PIN polar subcellular localization remains poorly understood. Here, we have employed advanced live-cell imaging techniques to study the roles of microtubules and actin microfilaments in the establishment of apical polar localization of PIN2 in the epidermis of the Arabidopsis root meristem. We report that apical PIN2 polarity requires neither intact actin microfilaments nor microtubules, suggesting that the primary spatial cue for polar PIN distribution is likely independent of cytoskeleton-guided endomembrane trafficking.' acknowledged_ssus: - _id: Bio article_number: '222' article_processing_charge: No author: - first_name: Matous full_name: Glanc, Matous id: 1AE1EA24-02D0-11E9-9BAA-DAF4881429F2 last_name: Glanc orcid: 0000-0003-0619-7783 - first_name: Matyas full_name: Fendrych, Matyas id: 43905548-F248-11E8-B48F-1D18A9856A87 last_name: Fendrych orcid: 0000-0002-9767-8699 - first_name: Jiří full_name: Friml, Jiří id: 4159519E-F248-11E8-B48F-1D18A9856A87 last_name: Friml orcid: 0000-0002-8302-7596 citation: ama: Glanc M, Fendrych M, Friml J. PIN2 polarity establishment in arabidopsis in the absence of an intact cytoskeleton. Biomolecules. 2019;9(6). doi:10.3390/biom9060222 apa: Glanc, M., Fendrych, M., & Friml, J. (2019). PIN2 polarity establishment in arabidopsis in the absence of an intact cytoskeleton. Biomolecules. MDPI. https://doi.org/10.3390/biom9060222 chicago: Glanc, Matous, Matyas Fendrych, and Jiří Friml. “PIN2 Polarity Establishment in Arabidopsis in the Absence of an Intact Cytoskeleton.” Biomolecules. MDPI, 2019. https://doi.org/10.3390/biom9060222. ieee: M. Glanc, M. Fendrych, and J. Friml, “PIN2 polarity establishment in arabidopsis in the absence of an intact cytoskeleton,” Biomolecules, vol. 9, no. 6. MDPI, 2019. ista: Glanc M, Fendrych M, Friml J. 2019. PIN2 polarity establishment in arabidopsis in the absence of an intact cytoskeleton. Biomolecules. 9(6), 222. mla: Glanc, Matous, et al. “PIN2 Polarity Establishment in Arabidopsis in the Absence of an Intact Cytoskeleton.” Biomolecules, vol. 9, no. 6, 222, MDPI, 2019, doi:10.3390/biom9060222. short: M. Glanc, M. Fendrych, J. Friml, Biomolecules 9 (2019). date_created: 2019-07-07T21:59:21Z date_published: 2019-06-07T00:00:00Z date_updated: 2023-08-28T12:30:24Z day: '07' ddc: - '580' department: - _id: JiFr doi: 10.3390/biom9060222 ec_funded: 1 external_id: isi: - '000475301500018' pmid: - '31181636' file: - access_level: open_access checksum: 1ce1bd36038fe5381057a1bcc6760083 content_type: application/pdf creator: kschuh date_created: 2019-07-08T15:46:32Z date_updated: 2020-07-14T12:47:34Z file_id: '6625' file_name: biomolecules-2019-Matous.pdf file_size: 1066773 relation: main_file file_date_updated: 2020-07-14T12:47:34Z has_accepted_license: '1' intvolume: ' 9' isi: 1 issue: '6' language: - iso: eng month: '06' oa: 1 oa_version: Published Version pmid: 1 project: - _id: 261099A6-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '742985' name: Tracing Evolution of Auxin Transport and Polarity in Plants publication: Biomolecules publication_status: published publisher: MDPI quality_controlled: '1' scopus_import: '1' status: public title: PIN2 polarity establishment in arabidopsis in the absence of an intact cytoskeleton tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 9 year: '2019' ...