2020
DOI: 10.3390/e22080855
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Thermalization in a Quantum Harmonic Oscillator with Random Disorder

Abstract: We propose a possible scheme to study the thermalization in a quantum harmonic oscillator with random disorder. Our numerical simulation shows that through the effect of random disorder, the system can undergo a transition from an initial nonequilibrium state to a equilibrium state. Unlike the classical damped harmonic oscillator where total energy is dissipated, total energy of the disordered quantum harmonic oscillator is conserved. In particular, at equilibrium the initial mechanical energy is transformed t… Show more

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Cited by 8 publications
(6 citation statements)
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“…In contrast, when the system comes to equilibrium, is largely narrowed, featuring a small autocorrelation length indicating the strong incoherence of system. is the so-called thermalization time, after which the system reaches equilibrium [ 12 ]. This significant decreasing of autocorrelation length reveals the decoherence of system during thermalization.…”
Section: Barrier Potential Produces Entropy and Decoherencementioning
confidence: 99%
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“…In contrast, when the system comes to equilibrium, is largely narrowed, featuring a small autocorrelation length indicating the strong incoherence of system. is the so-called thermalization time, after which the system reaches equilibrium [ 12 ]. This significant decreasing of autocorrelation length reveals the decoherence of system during thermalization.…”
Section: Barrier Potential Produces Entropy and Decoherencementioning
confidence: 99%
“…Nevertheless, the dissipative motion of oscillating BEC in a disorder trap, first studied by Dries et al [ 10 ] and further investigated by Hsueh et al [ 11 ], does manifest the thermalization of an isolated quantum system. In particular, the noninteracting-limit case has been numerically studied in [ 12 ], which depicts Shannon entropy increasing to its maximum during thermalization, and at equilibrium, the initial mechanical energy is transformed to the thermal energy consisting of evenly distributed kinetic and potential energies.…”
Section: Introductionmentioning
confidence: 99%
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“…4. It means that periodic potential does not store energy during the thermalization process, however, periodic-potential distribute the energy, few other writers have also studied this phenomenon in disorder potentials [29]. As someone can see from Fig.…”
Section: The Mean Position Vs Initial Energy Of the Becmentioning
confidence: 99%