--- _id: '8198' abstract: - lang: eng text: We investigate how the critical driving amplitude at the Floquet many-body localized (MBL) to ergodic phase transition differs between smooth and nonsmooth drives. To this end, we numerically study a disordered spin-1/2 chain which is periodically driven by a sine or square-wave drive over a wide range of driving frequencies. In both cases the critical driving amplitude increases monotonically with the frequency, and at large frequencies it is identical for the two drives. However, at low and intermediate frequencies the critical amplitude of the square-wave drive depends strongly on the frequency, while that of the sinusoidal drive is almost constant over a wide frequency range. By analyzing the density of drive-induced resonances we conclude that this difference is due to resonances induced by the higher harmonics which are present (absent) in the Fourier spectrum of the square-wave (sine) drive. Furthermore, we suggest a numerically efficient method for estimating the frequency dependence of the critical driving amplitudes for different drives which is based on calculating the density of drive-induced resonances. We conclude that delocalization occurs once the density of drive-induced resonances reaches a critical value determined only by the static system. acknowledgement: We thank Y. Bar Lev, T. Biadse, and, particularly, E. Bairey and B. Katzir for illuminating discussions and their many insights and help. The authors thank N. Lindner for his support throughout this project. We are further grateful to M. Serbyn, A. Kamenev, A. Turner, and S. de Nicola for reading the manuscript and providing good feedback and suggestions. We acknowledge financial support from the Defense Advanced Research Projects Agency through the DRINQS program, Grant No. D18AC00025. T.G. was in part supported by an Aly Kaufman Fellowship at the Technion. T.G. acknowledges funding from the Institute of Science and Technology (IST) Austria and from the European Union’s Horizon 2020 research and innovation program under Marie SkłodowskaCurie Grant Agreement No. 754411.under the Marie Skłodowska-Curie Grant Agreement No.754411. article_number: '214204' article_processing_charge: No article_type: original author: - first_name: Asaf A. full_name: Diringer, Asaf A. last_name: Diringer - first_name: Tobias full_name: Gulden, Tobias id: 1083E038-9F73-11E9-A4B5-532AE6697425 last_name: Gulden orcid: 0000-0001-6814-7541 citation: ama: Diringer AA, Gulden T. Impact of drive harmonics on the stability of Floquet many-body localization. Physical Review B. 2021;103(21). doi:10.1103/PhysRevB.103.214204 apa: Diringer, A. A., & Gulden, T. (2021). Impact of drive harmonics on the stability of Floquet many-body localization. Physical Review B. American Physical Society. https://doi.org/10.1103/PhysRevB.103.214204 chicago: Diringer, Asaf A., and Tobias Gulden. “Impact of Drive Harmonics on the Stability of Floquet Many-Body Localization.” Physical Review B. American Physical Society, 2021. https://doi.org/10.1103/PhysRevB.103.214204. ieee: A. A. Diringer and T. Gulden, “Impact of drive harmonics on the stability of Floquet many-body localization,” Physical Review B, vol. 103, no. 21. American Physical Society, 2021. ista: Diringer AA, Gulden T. 2021. Impact of drive harmonics on the stability of Floquet many-body localization. Physical Review B. 103(21), 214204. mla: Diringer, Asaf A., and Tobias Gulden. “Impact of Drive Harmonics on the Stability of Floquet Many-Body Localization.” Physical Review B, vol. 103, no. 21, 214204, American Physical Society, 2021, doi:10.1103/PhysRevB.103.214204. short: A.A. Diringer, T. Gulden, Physical Review B 103 (2021). date_created: 2020-08-04T13:03:40Z date_published: 2021-06-21T00:00:00Z date_updated: 2023-08-04T10:56:33Z day: '21' department: - _id: MaSe doi: 10.1103/PhysRevB.103.214204 ec_funded: 1 external_id: arxiv: - '2007.14879' isi: - '000664429700005' intvolume: ' 103' isi: 1 issue: '21' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2007.14879 month: '06' oa: 1 oa_version: Preprint project: - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships publication: Physical Review B publication_identifier: eissn: - '24699969' issn: - '24699950' publication_status: published publisher: American Physical Society quality_controlled: '1' status: public title: Impact of drive harmonics on the stability of Floquet many-body localization type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 103 year: '2021' ... --- _id: '9020' abstract: - lang: eng text: 'We study dynamics and thermodynamics of ion transport in narrow, water-filled channels, considered as effective 1D Coulomb systems. The long range nature of the inter-ion interactions comes about due to the dielectric constants mismatch between the water and the surrounding medium, confining the electric filed to stay mostly within the water-filled channel. Statistical mechanics of such Coulomb systems is dominated by entropic effects which may be accurately accounted for by mapping onto an effective quantum mechanics. In presence of multivalent ions the corresponding quantum mechanics appears to be non-Hermitian. In this review we discuss a framework for semiclassical calculations for the effective non-Hermitian Hamiltonians. Non-Hermiticity elevates WKB action integrals from the real line to closed cycles on a complex Riemann surfaces where direct calculations are not attainable. We circumvent this issue by applying tools from algebraic topology, such as the Picard-Fuchs equation. We discuss how its solutions relate to the thermodynamics and correlation functions of multivalent solutions within narrow, water-filled channels. ' acknowledgement: "A.K. was supported by NSF grants DMR-2037654. T.G. acknowledges funding from the Institute of Science and Technology (IST) Austria, and from the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie Grant Agreement No. 754411.\r\nWe are indebted to Boris Shklovskii for introducing us to the problem, and Alexander Gorsky and Peter Koroteev for introducing us to the Picard-Fuchs methods. A very special thanks goes to Michael Janas for several years of excellent collaboration on these topics. TG thanks Michael Kreshchuk for introduction to the exact WKB method and great collaboration on related projects. Figure 3 and Figure 4 are reproduced from Reference [25] with friendly permission by the Russian Academy of Sciences. Figure 2, Figure 4, Figure 5, Figure 6, and Figure 8 are reproduced from Reference [26] with friendly permission by IOP Publishing." article_number: e23010125 article_processing_charge: Yes article_type: original author: - first_name: Tobias full_name: Gulden, Tobias id: 1083E038-9F73-11E9-A4B5-532AE6697425 last_name: Gulden orcid: 0000-0001-6814-7541 - first_name: Alex full_name: Kamenev, Alex last_name: Kamenev citation: ama: Gulden T, Kamenev A. Dynamics of ion channels via non-hermitian quantum mechanics. Entropy. 2021;23(1). doi:10.3390/e23010125 apa: Gulden, T., & Kamenev, A. (2021). Dynamics of ion channels via non-hermitian quantum mechanics. Entropy. MDPI. https://doi.org/10.3390/e23010125 chicago: Gulden, Tobias, and Alex Kamenev. “Dynamics of Ion Channels via Non-Hermitian Quantum Mechanics.” Entropy. MDPI, 2021. https://doi.org/10.3390/e23010125. ieee: T. Gulden and A. Kamenev, “Dynamics of ion channels via non-hermitian quantum mechanics,” Entropy, vol. 23, no. 1. MDPI, 2021. ista: Gulden T, Kamenev A. 2021. Dynamics of ion channels via non-hermitian quantum mechanics. Entropy. 23(1), e23010125. mla: Gulden, Tobias, and Alex Kamenev. “Dynamics of Ion Channels via Non-Hermitian Quantum Mechanics.” Entropy, vol. 23, no. 1, e23010125, MDPI, 2021, doi:10.3390/e23010125. short: T. Gulden, A. Kamenev, Entropy 23 (2021). date_created: 2021-01-19T11:12:06Z date_published: 2021-01-19T00:00:00Z date_updated: 2023-08-07T13:34:18Z day: '19' ddc: - '530' department: - _id: MaSe doi: 10.3390/e23010125 ec_funded: 1 external_id: arxiv: - '2012.01390' isi: - '000610122000001' file: - access_level: open_access checksum: 6cd0e706156827c45c740534bd32c179 content_type: application/pdf creator: tgulden date_created: 2021-01-19T11:11:14Z date_updated: 2021-01-19T11:11:14Z file_id: '9021' file_name: Final published paper.pdf file_size: 981285 relation: main_file file_date_updated: 2021-01-19T11:11:14Z has_accepted_license: '1' intvolume: ' 23' isi: 1 issue: '1' language: - iso: eng month: '01' oa: 1 oa_version: Published Version project: - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships publication: Entropy publication_identifier: eissn: - 1099-4300 publication_status: published publisher: MDPI quality_controlled: '1' status: public title: Dynamics of ion channels via non-hermitian quantum mechanics 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: 23 year: '2021' ... --- _id: '8199' abstract: - lang: eng text: We investigate a mechanism to transiently stabilize topological phenomena in long-lived quasi-steady states of isolated quantum many-body systems driven at low frequencies. We obtain an analytical bound for the lifetime of the quasi-steady states which is exponentially large in the inverse driving frequency. Within this lifetime, the quasi-steady state is characterized by maximum entropy subject to the constraint of fixed number of particles in the system's Floquet-Bloch bands. In such a state, all the non-universal properties of these bands are washed out, hence only the topological properties persist. acknowledgement: "N.L., T.G. and E.B. acknowledge support from the European Research Council (ERC) under\r\nthe European Union Horizon 2020 Research and Innovation Programme (Grant Agreement\r\nNo. 639172). T.G. was in part supported by an Aly Kaufman Fellowship at the Technion. T.G.\r\nacknowledges funding from the Institute of Science and Technology (IST) Austria, and from\r\nthe European Union’s Horizon 2020 research and innovation programme under the Marie\r\nSkłodowska-Curie Grant Agreement No. 754411. N.L. acknowledges support from the People Programme (Marie Curie Actions) of the European Unions Seventh Framework 546 Programme (FP7/20072013), under REA Grant Agreement No. 631696, and by the Israeli Center\r\nof Research Excellence (I-CORE) Circle of Light funded by the Israel Science Foundation (Grant\r\nNo. 1802/12). M.R. gratefully acknowledges the support of the European Research Council\r\n(ERC) under the European Union Horizon 2020 Research and Innovation Programme (Grant\r\nAgreement No. 678862). M.R. acknowledges the support of the Villum Foundation. M.R. and\r\nE.B. acknowledge support from CRC 183 of the Deutsche Forschungsgemeinschaft" article_number: '015' article_processing_charge: No article_type: original author: - first_name: Tobias full_name: Gulden, Tobias id: 1083E038-9F73-11E9-A4B5-532AE6697425 last_name: Gulden orcid: 0000-0001-6814-7541 - first_name: Erez full_name: Berg, Erez last_name: Berg - first_name: Mark Spencer full_name: Rudner, Mark Spencer last_name: Rudner - first_name: Netanel full_name: Lindner, Netanel last_name: Lindner citation: ama: Gulden T, Berg E, Rudner MS, Lindner N. Exponentially long lifetime of universal quasi-steady states in topological Floquet pumps. SciPost Physics. 2020;9. doi:10.21468/scipostphys.9.1.015 apa: Gulden, T., Berg, E., Rudner, M. S., & Lindner, N. (2020). Exponentially long lifetime of universal quasi-steady states in topological Floquet pumps. SciPost Physics. SciPost Foundation. https://doi.org/10.21468/scipostphys.9.1.015 chicago: Gulden, Tobias, Erez Berg, Mark Spencer Rudner, and Netanel Lindner. “Exponentially Long Lifetime of Universal Quasi-Steady States in Topological Floquet Pumps.” SciPost Physics. SciPost Foundation, 2020. https://doi.org/10.21468/scipostphys.9.1.015. ieee: T. Gulden, E. Berg, M. S. Rudner, and N. Lindner, “Exponentially long lifetime of universal quasi-steady states in topological Floquet pumps,” SciPost Physics, vol. 9. SciPost Foundation, 2020. ista: Gulden T, Berg E, Rudner MS, Lindner N. 2020. Exponentially long lifetime of universal quasi-steady states in topological Floquet pumps. SciPost Physics. 9, 015. mla: Gulden, Tobias, et al. “Exponentially Long Lifetime of Universal Quasi-Steady States in Topological Floquet Pumps.” SciPost Physics, vol. 9, 015, SciPost Foundation, 2020, doi:10.21468/scipostphys.9.1.015. short: T. Gulden, E. Berg, M.S. Rudner, N. Lindner, SciPost Physics 9 (2020). date_created: 2020-08-04T13:04:15Z date_published: 2020-07-29T00:00:00Z date_updated: 2023-08-22T08:28:24Z day: '29' ddc: - '530' department: - _id: MaSe doi: 10.21468/scipostphys.9.1.015 ec_funded: 1 external_id: isi: - '000557362300008' file: - access_level: open_access content_type: application/pdf creator: dernst date_created: 2020-08-06T08:56:06Z date_updated: 2020-08-06T08:56:06Z file_id: '8202' file_name: 2020_SciPostPhys_Gulden.pdf file_size: 531137 relation: main_file success: 1 file_date_updated: 2020-08-06T08:56:06Z has_accepted_license: '1' intvolume: ' 9' isi: 1 language: - iso: eng month: '07' oa: 1 oa_version: Published Version project: - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships publication: SciPost Physics publication_identifier: issn: - 2542-4653 publication_status: published publisher: SciPost Foundation quality_controlled: '1' scopus_import: '1' status: public title: Exponentially long lifetime of universal quasi-steady states in topological Floquet pumps 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: '2020' ...