Quantum Brownian motion of a macroscopic object in a general environment

Chung-Hsien Chou, B. L. Hu, Ting Yu

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

For the purpose of understanding the quantum behaviour such as quantum decoherence, fluctuations, dissipation, entanglement and teleportation of a mesoscopic or macroscopic object interacting with a general environment, we derive here a set of exact master equations for the reduced density matrix of N interacting harmonic oscillators in a heat bath with arbitrary spectral density and temperature. Two classes of problems of interest to us which these equations can be usefully applied to are that of the quantum dynamics of nanoelectromechanical oscillators and the entanglement evolution of multipartite macroscopic states such as quantum superposition of mirrors in a high Q cavity. To address a key conceptual issue for macroscopic quantum phenomena we examine the conditions for an assumption often implicitly made in these studies to be valid, namely, that the quantum behaviour of a macroscopic object in an environment can be accurately represented by only treating the dynamics of its centre-of-mass variable. We also mention how these results can be used to calculate the uncertainty principle governing a macroscopic object at finite temperature.

Original languageEnglish
Pages (from-to)432-444
Number of pages13
JournalPhysica A: Statistical Mechanics and its Applications
Volume387
Issue number2-3
DOIs
Publication statusPublished - 2008 Jan 15

Fingerprint

Brownian motion
harmonic oscillators
center of mass
Q factors
baths
Entanglement
dissipation
oscillators
mirrors
heat
cavities
temperature
Teleportation
Uncertainty Principle
Heat Bath
Quantum Dynamics
Decoherence
Spectral Density
Density Matrix
Master Equation

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Condensed Matter Physics

Cite this

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Quantum Brownian motion of a macroscopic object in a general environment. / Chou, Chung-Hsien; Hu, B. L.; Yu, Ting.

In: Physica A: Statistical Mechanics and its Applications, Vol. 387, No. 2-3, 15.01.2008, p. 432-444.

Research output: Contribution to journalArticle

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