2015/01/31 by S. Lin, X. Z. Zhang, Z. Song · 2 citations
Mathematics · Physics and Astronomy · #Amplitude #Field (mathematics) #Hermitian matrix #Mathematics #Physics #Pure mathematics #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum control #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #State (computer science) #quant-ph
paper · pdf · doi:10.1103/physreva.92.012117
published as Physical Review A 92, 012117 (2015)
openalex publication_date 2015/07/20 · arxiv created 2015/10/08 · arxiv updated 2015/10/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In the Hermitian regime, the Berry phase is always a real number. It may be imaginary for a non-Hermitian system, which leads to amplitude amplification or attenuation of an evolved quantum state. We study the dynamics of the non-Hermitian Rice-Mele model driven by a time-dependent external field. The exact results show that it can have a full real spectrum for any value of the field. Several rigorous results are presented for the Berry phase with respect to the varying field. We demonstrate that the Berry phase is the same complex constant for any initial state in a single sub-band. Numerical simulation indicates that the amplitude control of a state can be accomplished by a quasiadiabatic process within a short time.