SOLVING MASTER EQUATION FOR CALDEIRA–LEGGETT MODEL BY VIRTUE OF THE THERMO ENTANGLED STATE REPRESENTATION AND THE IWOP TECHNIQUE
2012 ◽
Vol 26
(14)
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pp. 1250085
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Keyword(s):
In the present work, the exact formal solution of the Caldeira–Leggett quantum master equation for the reduced density matrix of an oscillator is obtained by virtue of the thermo entangled state representation and the technique of integration within an ordered product (IWOP) of operators. Also, the solution for high temperature approximation is derived. When the initial state is a coherent state, it will evolve into a displaced-squeezed chaotic state (a mixed state) which shows that decoherence is involved in the Caldeira–Leggett equation due to the interactions between the system and environment.
2009 ◽
Vol 24
(15)
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pp. 1219-1226
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2009 ◽
Vol 51
(4)
◽
pp. 729-742
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2007 ◽
Vol 22
(24)
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pp. 4481-4494
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2014 ◽
Vol 92
(10)
◽
pp. 1069-1073
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Keyword(s):