Non-Hermitian topological phases and dynamical quantum phase transitions: A generic connection

• URL: http://arxiv.org/abs/2102.07116v2
• Date: Thu, 17 Jun 2021 09:43:00 GMT
• Title: Non-Hermitian topological phases and dynamical quantum phase transitions: A generic connection
• Authors: Longwen Zhou and Qianqian Du
• Abstract summary: We establish an intrinsic connection between topological phases and quantum phase transitions in non-Hermitian systems. We present a proposal to experimentally verify the found connection by a nitrogen-vacancy center in diamond.
• Score: 0.685316573653194
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The dynamical and topological properties of non-Hermitian systems have attracted great attention in recent years. In this work, we establish an intrinsic connection between two classes of intriguing phenomena -- topological phases and dynamical quantum phase transitions (DQPTs) -- in non-Hermitian systems. Focusing on one-dimensional models with chiral symmetry, we find DQPTs following the quench from a trivial to a non-Hermitian topological phase. Moreover, the number of critical momenta and critical time periods of the DQPTs are found to be directly related to the topological invariants of the non-Hermitian system. We further demonstrate our theory in three prototypical non-Hermitian lattice models, the lossy Kitaev chain (LKC), the LKC with next-nearest-neighbor hoppings, and the nonreciprocal Su-Schrieffer-Heeger model. Finally, we present a proposal to experimentally verify the found connection by a nitrogen-vacancy center in diamond.

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