Journal Article

FZJ-2016-04441

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Dynamics of open quantum spin systems: An assessment of the quantum master equation approach

Zhao, P. ; De Raedt, H. (Corresponding author) ; Miyashita, S. ; Jin, F.FZJ* ; Michielsen, K.FZJ*

2016
Inst. Woodbury, NY

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Please use a persistent id in citations: http://hdl.handle.net/2128/12219  doi:10.1103/PhysRevE.94.022126

Abstract: Data of the numerical solution of the time-dependent Schrödinger equation of a system containing one spin-12 particle interacting with a bath of up to 32 spin-12 particles is used to construct a Markovian quantum master equation describing the dynamics of the system spin. The procedure of obtaining this quantum master equation, which takes the form of a Bloch equation with time-independent coefficients, accounts for all non-Markovian effects inasmuch the general structure of the quantum master equation allows. Our simulation results show that, with a few rather exotic exceptions, the Bloch-type equation with time-independent coefficients provides a simple and accurate description of the dynamics of a spin-12 particle in contact with a thermal bath. A calculation of the coefficients that appear in the Redfield master equation in the Markovian limit shows that this perturbatively derived equation quantitatively differs from the numerically estimated Markovian master equation, the results of which agree very well with the solution of the time-dependent Schrödinger equation.

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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 511 - Computational Science and Mathematical Methods (POF3-511) (POF3-511)

Appears in the scientific report 2016

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Database coverage:
; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; IF < 5 ; JCR ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection

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