Non-Hermitian dynamics of slowly varying Hamiltonians

Non-Hermitian dynamics of slowly varying Hamiltonians

We develop a theoretical description of non-Hermitian time evolution that accounts for the breakdown of the adiabatic theorem. We obtain closed-form expressions for the time-dependent state amplitudes, involving the complex eigenenergies as well as interband Berry connections calculated using basis...

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Main Authors: Wang, Hailong, Lang, Li-Jun, Chong, Yi Dong
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2018
Subjects:
DRNTU::Science::Physics
Hamiltonians
Non-Hermitian Dynamics
Online Access:https://hdl.handle.net/10356/88318
http://hdl.handle.net/10220/45661
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-883182023-02-28T19:35:05Z Non-Hermitian dynamics of slowly varying Hamiltonians Wang, Hailong Lang, Li-Jun Chong, Yi Dong School of Physical and Mathematical Sciences Centre for Disruptive Photonic Technologies (CDPT) DRNTU::Science::Physics Hamiltonians Non-Hermitian Dynamics We develop a theoretical description of non-Hermitian time evolution that accounts for the breakdown of the adiabatic theorem. We obtain closed-form expressions for the time-dependent state amplitudes, involving the complex eigenenergies as well as interband Berry connections calculated using basis sets from appropriately chosen Schur decompositions. Using a two-level system as an example, we show that our theory accurately captures the phenomenon of “sudden transitions,” where the system state abruptly jumps from one eigenstate to another. MOE (Min. of Education, S’pore) Published version 2018-08-23T05:57:55Z 2019-12-06T17:00:36Z 2018-08-23T05:57:55Z 2019-12-06T17:00:36Z 2018 Journal Article Wang, H., Lang, L.-J., & Chong, Y. D. (2018). Non-Hermitian dynamics of slowly varying Hamiltonians. Physical Review A, 98(1), 012119-. doi:10.1103/PhysRevA.98.012119 2469-9926 https://hdl.handle.net/10356/88318 http://hdl.handle.net/10220/45661 10.1103/PhysRevA.98.012119 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.98.012119]. 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. 11 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 DRNTU::Science::Physics
Hamiltonians
Non-Hermitian Dynamics
spellingShingle DRNTU::Science::Physics
Hamiltonians
Non-Hermitian Dynamics
Wang, Hailong
Lang, Li-Jun
Chong, Yi Dong
Non-Hermitian dynamics of slowly varying Hamiltonians
description We develop a theoretical description of non-Hermitian time evolution that accounts for the breakdown of the adiabatic theorem. We obtain closed-form expressions for the time-dependent state amplitudes, involving the complex eigenenergies as well as interband Berry connections calculated using basis sets from appropriately chosen Schur decompositions. Using a two-level system as an example, we show that our theory accurately captures the phenomenon of “sudden transitions,” where the system state abruptly jumps from one eigenstate to another.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Wang, Hailong
Lang, Li-Jun
Chong, Yi Dong
format Article
author Wang, Hailong
Lang, Li-Jun
Chong, Yi Dong
author_sort Wang, Hailong
title Non-Hermitian dynamics of slowly varying Hamiltonians
title_short Non-Hermitian dynamics of slowly varying Hamiltonians
title_full Non-Hermitian dynamics of slowly varying Hamiltonians
title_fullStr Non-Hermitian dynamics of slowly varying Hamiltonians
title_full_unstemmed Non-Hermitian dynamics of slowly varying Hamiltonians
title_sort non-hermitian dynamics of slowly varying hamiltonians
publishDate 2018
url https://hdl.handle.net/10356/88318
http://hdl.handle.net/10220/45661
_version_ 1759854020739989504

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