Quantum correlations for two coupled oscillators interacting with two heat baths

Abstract

We study a system of two coupled oscillators (the $A$ oscillator) each of the oscillators linearly interacts with its own heat bath consisting of a set of independent harmonic oscillators (the $B$ oscillators). The initial state of the $A$ oscillator is taken to be coherent while the $B$ oscillators are in thermal states. We analyze the time-dependent state of the $A$ oscillator which is a two-mode Gaussian state. By making use of Simon's separability criterion we show that this state is separable for all times. We consider the equilibrium state of the $A$ oscillator in detail and calculate its Wigner function.

arXiv commentPublished in Canadian Journal of Physics

References in corpus (10)

• Quantum information with continuous variables
• Peres-Horodecki separability criterion for continuous variable systems
• Negativity of the Wigner function as an indicator of nonclassicality
• Entanglement in continuous variable systems: Recent advances and current perspectives
• Non-Markovian entanglement dynamics of quantum continuous variable systems in thermal environments
• Dynamics and thermodynamics of linear quantum open systems
• Dynamics of Gaussian discord between two oscillators interacting with a common environment
• Relaxation of two coupled quantum oscillators to quasi-equilibrium states based on path integrals
• Quasi-equilibrium relaxation of two identical quantum oscillators with arbitrary coupling strength
• Dynamics and stationarity of two coupled arbitrary oscillators interacting with separate reservoirs

Cited by in corpus (1)

• Effective Gibbs state for averaged observables