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Title: Non-Hermitian dynamics of slowly varying Hamiltonians
Authors: Wang, Hailong
Lang, Li-Jun
Chong, Yi Dong
Keywords: DRNTU::Science::Physics
Non-Hermitian Dynamics
Issue Date: 2018
Source: 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
Series/Report no.: Physical Review A
Abstract: 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.
ISSN: 2469-9926
DOI: 10.1103/PhysRevA.98.012119
Rights: © 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: []. 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.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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