Generating transverse response explicitly from harmonic oscillators

Yuan Yao, Ying Tang, and Ping Ao
Phys. Rev. B 96, 134414 – Published 11 October 2017
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Abstract

We obtain stochastic dynamics from a system-plus-bath mechanism as an extension of the Caldeira-Leggett (CL) model in the classical regime. An effective magnetic field and response functions with both longitudinal and transverse parts are exactly generated from the bath of harmonic oscillators. The effective magnetic field and transverse response are antisymmetric matrices: the former is explicitly time-independent corresponding to the geometric magnetism, while the latter can have memory. The present model can be reduced to previous representative examples of stochastic dynamics describing nonequilibrium processes. Our results demonstrate that a system coupled with a bath of harmonic oscillators is a general approach to studying stochastic dynamics, and provides a method to experimentally implement an effective magnetic field from coupling to the environment.

  • Received 26 February 2017
  • Revised 1 August 2017

DOI:https://doi.org/10.1103/PhysRevB.96.134414

©2017 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Yuan Yao1,2,*, Ying Tang1,†, and Ping Ao1,3,‡

  • 1Department of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China
  • 2Zhiyuan College, Shanghai Jiao Tong University, Shanghai 200240, China
  • 3Key Laboratory of Systems Biomedicine Ministry of Education, Shanghai Center for Systems Biomedicine, Shanghai Jiao Tong University, Shanghai 200240, China

  • *Present address: Institute for Solid State Physics, University of Tokyo, Kashiwa, Chiba 277-8581, Japan; smartyao@issp.u-tokyo.ac.jp
  • jamestang23@gmail.com
  • aoping@sjtu.edu.cn

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Issue

Vol. 96, Iss. 13 — 1 October 2017

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