Premium
Uncertainty, Entropy and Decoherence of the Damped Harmonic Oscillator in the Lindblad Theory of Open Quantum Systems
Author(s) -
Isar A.
Publication year - 1999
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/(sici)1521-3978(199909)47:7/8<855::aid-prop855>3.0.co;2-z
Subject(s) - von neumann entropy , quantum decoherence , harmonic oscillator , coherent states , statistical physics , wigner distribution function , quantum mechanics , quantum harmonic oscillator , lindblad equation , joint quantum entropy , entropy (arrow of time) , gaussian , master equation , quantum relative entropy , physics , mathematics , quantum , quantum discord , open quantum system , quantum entanglement
In the framework of the Lindblad theory for open quantum systems, expressions for the density operator, von Neumann entropy and effective temperature of the damped harmonic oscillator are obtained. The entropy for a state characterized by a Wigner distribution function which is Gaussian in form is found to depend only on the variance of the distribution function. We give a series of inequalities, relating uncertainty to von Neumann entropy and linear entropy. We analyze the conditions for purity of states and show that for a special choice of the diffusion coefficients, the correlated coherent states (squeezed coherent states) are the only states which remain pure all the time during the evolution of the considered system. These states are also the most stable under evolution in the presence of the environment and play an important role in the description of environment induced decoherence.