Work statistics in effective non-Hermitian systems

ORAL

Abstract

Non-Hermitian systems with specific forms of Hamiltonians can exhibit novel phenomena, but often such systems are hard to realize, especially in the quantum regime. A proper description of these difficulties can help to introduce optimizing methods. Thermodynamic quantities can be potential choices, but the present thermodynamics theory does not work well in non-Hermitian systems. We treat non-Hermitian systems as effective processes generated from Hermitian systems, so that the free energy cost of these processes can be studied from the work statistics. A way to define the work statistics in such non-Hermitian systems is also provided. Based on these results, we further show an example of optimized process to generate a non-Hermitian system.

*This work is supported in part by NSFC, NTT, JST, CREST, JSPS, ARO, AOARD, FQXi.

Presenters

  • Zheng-Yang Zhou

    • RIKEN; and CSRC

Authors

  • Zheng-Yang Zhou

    • RIKEN; and CSRC
  • Ze-Liang Xiang

    • Sun Yat-sen University
  • Jianqiang You

    • Zhejiang University
  • Franco Nori

    • RIKEN, Japan and Univ. Michigan, USA
    • RIKEN, Japan
    • RIKEN; and Univ. Michigan.
    • RIKEN, Japan; and Univ. Michigan, USA
    • Riken Japan and Univ. Michigan USA
    • RIKEN, Japan and Univ Michigan, USA
    • Theoretical Quantum Physics Laboratory, Department of Physics, RIKEN Cluster for Pioneering Research, The University of Michigan
    • RIKEN and Univ. of Michigan
    • Riken Japan and Univ Michigan USA
    • RIKEN; and University of Michigan
    • RIKEN and Univ. Michigan
    • RIKEN and Univ of Michigan
    • Theoretical Quantum Physics Laboratory, RIKEN Cluster for Pioneering Research, Wako-shi, Saitama 351-0198, Japan
    • RIKEN, and University of Michigan
    • Theoretical Quantum Physics, Riken, Japan
    • RIKEN, Japan; and Univ Michigan, USA
    • Theoretical Quantum Physics Laboratory, RIKEN
    • RIKEN, Japan; Univ. Michigan, USA
    • RIKEN, Japan; Uni. Michigan, USA