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Title: Dynamical quantum phase transitions in non-Hermitian lattices
Authors: Zhou, Longwen
Wang, Qing-hai
Wang, Hailong
Gong, Jiangbin
Keywords: Optical Lattice
Quantum Phase
Issue Date: 2018
Source: 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
Series/Report no.: Physical Review A
Abstract: 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.
ISSN: 2469-9926
DOI: 10.1103/PhysRevA.98.022129
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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