Dynamical quantum phase transitions in non-Hermitian lattices

In closed quantum systems, a dynamical phase transition is identified by nonanalytic behaviors of the return probability as a function of time. In this work, we study the nonunitary dynamics following quenches across exceptional points in a non-Hermitian lattice realized by optical resonators. Dynam...

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Main Authors: Zhou, Longwen, Wang, Qing-hai, Wang, Hailong, Gong, Jiangbin
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2018
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Online Access:https://hdl.handle.net/10356/89133
http://hdl.handle.net/10220/46133
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-891332023-02-28T19:35:39Z Dynamical quantum phase transitions in non-Hermitian lattices Zhou, Longwen Wang, Qing-hai Wang, Hailong Gong, Jiangbin School of Physical and Mathematical Sciences Optical Lattice DRNTU::Science::Physics Quantum Phase In closed quantum systems, a dynamical phase transition is identified by nonanalytic behaviors of the return probability as a function of time. In this work, we study the nonunitary dynamics following quenches across exceptional points in a non-Hermitian lattice realized by optical resonators. Dynamical quantum phase transitions with topological signatures are found when an isolated exceptional point is crossed during the quench. A topological winding number defined by a real, noncyclic geometric phase is introduced, whose value features quantized jumps at critical times of these phase transitions and remains constant elsewhere, mimicking the plateau transitions in quantum Hall effects. This work provides a simple framework to study dynamical and topological responses in non-Hermitian systems. NRF (Natl Research Foundation, S’pore) MOE (Min. of Education, S’pore) Published version 2018-09-28T04:24:13Z 2019-12-06T17:18:37Z 2018-09-28T04:24:13Z 2019-12-06T17:18:37Z 2018 Journal Article Zhou, L., Wang, Q.-H., Wang, H., & Gong, J. (2018). Dynamical quantum phase transitions in non-Hermitian lattices. Physical Review A, 98(2), 022129. doi:10.1103/PhysRevA.98.022129 2469-9926 https://hdl.handle.net/10356/89133 http://hdl.handle.net/10220/46133 10.1103/PhysRevA.98.022129 en Physical Review A © 2018 American Physical Society. This paper was published in Physical Review A and is made available as an electronic reprint (preprint) with permission of American Physical Society. The published version is available at: [http://dx.doi.org/10.1103/PhysRevA.98.022129]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. 7 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Optical Lattice
DRNTU::Science::Physics
Quantum Phase
spellingShingle Optical Lattice
DRNTU::Science::Physics
Quantum Phase
Zhou, Longwen
Wang, Qing-hai
Wang, Hailong
Gong, Jiangbin
Dynamical quantum phase transitions in non-Hermitian lattices
description In closed quantum systems, a dynamical phase transition is identified by nonanalytic behaviors of the return probability as a function of time. In this work, we study the nonunitary dynamics following quenches across exceptional points in a non-Hermitian lattice realized by optical resonators. Dynamical quantum phase transitions with topological signatures are found when an isolated exceptional point is crossed during the quench. A topological winding number defined by a real, noncyclic geometric phase is introduced, whose value features quantized jumps at critical times of these phase transitions and remains constant elsewhere, mimicking the plateau transitions in quantum Hall effects. This work provides a simple framework to study dynamical and topological responses in non-Hermitian systems.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Zhou, Longwen
Wang, Qing-hai
Wang, Hailong
Gong, Jiangbin
format Article
author Zhou, Longwen
Wang, Qing-hai
Wang, Hailong
Gong, Jiangbin
author_sort Zhou, Longwen
title Dynamical quantum phase transitions in non-Hermitian lattices
title_short Dynamical quantum phase transitions in non-Hermitian lattices
title_full Dynamical quantum phase transitions in non-Hermitian lattices
title_fullStr Dynamical quantum phase transitions in non-Hermitian lattices
title_full_unstemmed Dynamical quantum phase transitions in non-Hermitian lattices
title_sort dynamical quantum phase transitions in non-hermitian lattices
publishDate 2018
url https://hdl.handle.net/10356/89133
http://hdl.handle.net/10220/46133
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