Thermalization in a quantum harmonic oscillator with random disorder

Ya Wei Hsueh, Che Hsiu Hsueh, Wen Chin Wu

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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 to the thermodynamic energy in which kinetic and potential energies are evenly distributed. Shannon entropy in different bases are shown to yield consistent results during the thermalization.

Original languageEnglish
Article number855
Issue number8
StatePublished - Aug 2020


  • Quantum harmonic oscillator
  • Random disorder
  • Thermalization


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