Shortcuts to adiabatic pumping in classical stochastic and non-Hermitian systems

ORAL

Abstract

We consider adiabatic charge pumping in classical stochastic and non-Hermitian systems. If two control parameters are periodically and slowly modulated in time, it is known that the pumped charge contains a geometric contribution in addition to a dynamical one. In this adiabatic regime the geometric contribution is important because it enables non-zero charge pumping even at zero bias. Here, we make use of recent advances in shortcuts-to-adiabaticity to construct a control protocol which enables this geometric pumping to operate well beyond the adiabatic regime. We explicitly show that the pumped charge for the controlled dynamics is exactly given by the dynamic and geometric contributions [1].

[1] K. Funo, N. Lambert, F. Nori, C. Flindt, Phys. Rev. Lett. 124, 150603 (2020).

*This work was supported by the JSPS, FQXi, JST, NTT, ARO, MEXT, AFOSR, AOARD, AOF.

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Presenters

  • Ken Funo

    • RIKEN, Japan
    • RIKEN

Authors

  • Ken Funo

    • RIKEN, Japan
    • RIKEN

  • Neill Lambert

    • RIKEN, Japan; and Univ. Michigan, USA
    • RIKEN, Japan

  • 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

  • Christian Flindt

    • Applied Physics, Aalto University
    • Aalto University