Limitations on the utility of exact master equations

Limitations on the utility of exact master equations

The low temperature solution of the exact master equation for an oscillator coupled to a linear passive heat bath is known to give rise to serious divergences. We now show that, even in the high temperature regime, problems also exist, notably the fact that the density matrix is not necessarily posi...

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Veröffentlicht in:Annals of physics 2005-10, Vol.319 (2), p.348-363
Hauptverfasser: Ford, G.W., O’Connell, R.F.
Format: Artikel
Sprache:eng
Schlagworte:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
DENSITY MATRIX
EXACT SOLUTIONS
Heat bath
High temperature
LANGEVIN EQUATION
Low temperature
Master equation
MATHEMATICAL LOGIC
OSCILLATORS
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Zusammenfassung:The low temperature solution of the exact master equation for an oscillator coupled to a linear passive heat bath is known to give rise to serious divergences. We now show that, even in the high temperature regime, problems also exist, notably the fact that the density matrix is not necessarily positive.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2005.04.008