Thermalization in a quantum harmonic oscillator with random disorder

Ya Wei Hsueh, Che Hsiu Hsueh*, Wen Chin Wu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


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
Publication statusPublished - 2020 Aug


  • Quantum harmonic oscillator
  • Random disorder
  • Thermalization

ASJC Scopus subject areas

  • General Physics and Astronomy


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