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Acta Physica Sinica

THERMAL KERR STATES WITH FINITE TEMPERATURE

Chuan-hua Dong, 上海大学物理系

Published Jan 1, 1997• 0 citations
Publisher

Abstract

By making use of thermo-field dynamics(TFD),we construct the thermal Kerr states with finite temperature.We investigate the quantum statistical properties of these states and their dependence on temperature.We discuss the fluctuations of amplitude in these states and squeezing.We also introduce the definition of thermosqueezing for thermalized states and discuss the effect of temperature on thermosqueezing for thermal Kerr states.

DOI
10.7498/aps.46.467

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By making use of thermo-field dynamics(TFD),we construct the thermal Kerr states with finite temperature.We investigate the quantum statistical properties of these states and their dependence on temperature.We discuss the fluctuations of amplitude in these states and squeezing.We also introduce the definition of thermosqueezing for thermalized states and discuss the effect of temperature on thermosqueezing for thermal Kerr states.
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By making use of thermo-field dynamics(TFD),higher-order fluctuations and higher-order squeezing of quadrature components for coherent states and squeezed states with thermal noise have been studied.The higher-order fluctuations of the phase for these thermalized states have been investigated using the concept of measured phase operators.Thus the dependence of the lower-and higher-order fluctuations and squeezing on temperature in these states at finite temperature can be seen.It is significant to discuss the effect of temperature on the fluctuations and squeezing,since the states of real field are always at finite temperatures.
The characterization of coherent states as the quantum states that split into two uncorrelated beams is considered. The characterization leads to the study of coherent states at finite temperature—thermal coherent states (TCS’s). These TCS’s are defined within the formalism of thermo field dynamics (TFD). TFD allows a generalization of the uncertainty relation that accounts for both thermal and quantum fluctuations. The TCS is shown to be a minimal state for the generalized uncertainty relation.
We use the quantum Brownian model to derive the uncertainty relation for a quantum open system in an arbitrarily-squeezed initial state interacting with an environment at finite temperature. We examine the relative importance of the quantum and thermal fluctuations in the evolution of the system towards equilibrium with the aim of clarifying the meaning of quantum, classical and thermal. We show that upon contact with the bath the system evolves from a quantum-dominated state to a thermal-dominated state in a time which is the same as the decoherence time calculated before in the context of quantum to classical transitions. We also use these results to deduce the conditions when the two basic postulates of quantum statistical mechanics become valid.