Probing the dynamics of an open quantum system via a single qubit

We investigate strategies to monitor the dynamics and determine the characteristics of a dissipative harmonic oscillator coupled to a finite temperature heat bath. For this purpose we use a single qubit coupled via dephasing to the oscillator. The whole system is described by a quantum master equati...

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Bibliographic Details
Published inJournal of physics. A, Mathematical and theoretical Vol. 53; no. 35; pp. 355301 - 355319
Main Authors López Vázquez, P C, Gorin, T
Format Journal Article
LanguageEnglish
Published IOP Publishing 04.09.2020
Subjects
phase space methods
quantum thermometry
two-level models
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Summary:We investigate strategies to monitor the dynamics and determine the characteristics of a dissipative harmonic oscillator coupled to a finite temperature heat bath. For this purpose we use a single qubit coupled via dephasing to the oscillator. The whole system is described by a quantum master equation, which can be solved analytically. The solution is surprisingly simple and allows one to read off all relevant parameters from the behavior of the qubit coherence as a function of time. Analyzing the qubit coherence for a short time, turns out to be sufficient to predict the complete dynamics of the oscillator, including its asymptotic state at thermal equilibrium.
Bibliography:JPhysA-113468.R1
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/ab9edc