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Effect of bath temperature on the decoherence of quantum dissipative system

Wei Wu

Bulletin of the American Physical SocietyMar 15, 20170 citations

Temperature of a decoherent oscillator with strong coupling

W. G. Unruh

The temperature of an oscillator coupled to the vacuum state of a heat bath via Ohmic coupling is non-zero, as measured by the reduced density matrix of the oscillator. This study shows that the actual temperature, as measured by a thermometer, is still zero (or, in the thermal state of the bath, the temperature of the bath). The decoherence temperature is due to 'false-decoherence', with a correlation between the oscillator and the heat bath causing the decoherence, but the heat baths state dragged along with the state of the oscillator.The temperature of an oscillator coupled to the vacuum state of a heat bath via Ohmic coupling is non-zero, as measured by the reduced density matrix of the oscillator. This study shows that the actual temperature, as measured by a thermometer, is still zero (or, in the thermal state of the bath, the temperature of the bath). The decoherence temperature is due to 'false-decoherence', with a correlation between the oscillator and the heat bath causing the decoherence, but the heat baths state dragged along with the state of the oscillator.

arXiv:1110.2217Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering SciencesAug 20, 20121 citation

Survival of quantum effects for observables after decoherence

G. P. Berman, A. R. Bishop, F. Borgonovi +1 more

When a quantum nonlinear system is linearly coupled to an infinite bath of harmonic oscillators, quantum coherence of the system is lost on a decoherence time scale ${\ensuremath{\tau}}_{D}$. Nevertheless, quantum effects for observables may still survive environment-induced decoherence and be observed for times much larger than the decoherence time scale. In particular, we show that the Ehrenfest time, which characterizes a departure of quantum dynamics for observables from the corresponding classical dynamics, can be observed for a quasiclassical nonlinear oscillator for times $\ensuremath{\tau}⪢{\ensuremath{\tau}}_{D}$. We discuss this observation in relation to recent experiments on quantum nonlinear systems in the quasiclassical region of parameters.When a quantum nonlinear system is linearly coupled to an infinite bath of harmonic oscillators, quantum coherence of the system is lost on a decoherence time scale ${\ensuremath{\tau}}_{D}$. Nevertheless, quantum effects for observables may still survive environment-induced decoherence and be observed for times much larger than the decoherence time scale. In particular, we show that the Ehrenfest time, which characterizes a departure of quantum dynamics for observables from the corresponding classical dynamics, can be observed for a quasiclassical nonlinear oscillator for times $\ensuremath{\tau}⪢{\ensuremath{\tau}}_{D}$. We discuss this observation in relation to recent experiments on quantum nonlinear systems in the quasiclassical region of parameters.

arXiv:quant-ph/0401038Physical Review AJun 23, 200411 citations

Dissipation and Decoherence in a Quantum Oscillator

Vinay Ambegaokar

arXiv:quant-ph/0506087Journal of Statistical PhysicsMay 10, 200616 citations

Onset of non-Markovian behaviour in a harmonic oscillator stochastically coupled to a thermal bath

Santiago Velasco, Juan A. White

The influence of a finite bath correlation time and the bath temperature on the onset of a non-Markovian behaviour in the relaxation of a harmonic oscillator linearly coupled to a coloured thermal bath is analysed. A fully quantum mechanical treatment of the time autocorrelation function of the oscillator-bath interaction is made. Special attention is paid to the temperature dependence. In the low-temperature regime a non-exponential time decay of the mean number of quanta is found even though the correlation time associated with the oscillator-bath interaction is zero.The influence of a finite bath correlation time and the bath temperature on the onset of a non-Markovian behaviour in the relaxation of a harmonic oscillator linearly coupled to a coloured thermal bath is analysed. A fully quantum mechanical treatment of the time autocorrelation function of the oscillator-bath interaction is made. Special attention is paid to the temperature dependence. In the low-temperature regime a non-exponential time decay of the mean number of quanta is found even though the correlation time associated with the oscillator-bath interaction is zero.

Quantum Optics Journal of the European Optical Society Part BAug 1, 19901 citation

Decoherence and dissipation of an open quantum system with a squeezed and frequency-modulated heat bath

Subhashish Banerjee

Physica A Statistical Mechanics and its ApplicationsFeb 5, 200411 citations

Decoherence of a Quantum Nonlinear Oscillator Under a Non-zero Temperature Thermal Bath

Abstract

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Decoherence of a Quantum Nonlinear Oscillator Under a Non-zero Temperature Thermal Bath

Abstract

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