Steady-state coherence of spin-boson model in a general non-Markovian environment

Author:

Jin Fangqin1ORCID,You Wen-Long2ORCID,Dai Yue3ORCID,Yi Tian-Cheng4ORCID,Dong Yuli1ORCID,Zhang Chengjie5ORCID

Affiliation:

1. School of Physical Science and Technology, Soochow University, Suzhou 215006, P. R. China

2. College of Physics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, P. R. China

3. School of Optical and Electronic Information, Suzhou City University, Suzhou 215104, P. R. China

4. Beijing Computational Science Research Center, Beijing 100193, P. R. China

5. School of Physical Science and Technology, Ningbo University, Ningbo 315211, P. R. China

Abstract

Based on the quantum coherence theory, we employ the [Formula: see text]-norm measure to explore the steady-state coherence (SSC) in the spin-boson model. In this model, the environment is a non-Markovian bosonic bath with Ohmic-like spectral density. More generally, the interaction coupling between the qubit and the environment is a linear superposition of pure dephasing and pure damping coupling. Governed by the non-Markovian dynamics, some compact expressions of the SSC have been obtained at both zero temperature and high temperature. It shows that the hybrid coupling significantly affects the SSC. Moreover, a comprehensive analysis has been conducted to investigate the effects of various crucial factors, including the temperature of the bosonic bath, the qubit’s tunneling and the Ohmicity parameter. This analysis provides an effective approach for maintaining a relatively high SSC by manipulating system parameters.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

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