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Amooshahi, M.; Amooghorban, E.

A quantum dissipative system in an anisotropic non-linear absorbing environment. (English) Zbl 1198.81133

Ann. Phys. 325, No. 9, 1976-1986 (2010).
Summary: A canonical quantization scheme is represented for a quantum system interacting with a nonlinear absorbing environment. The environment is taken anisotropic and the main system is coupled to its environment through some coupling tensors of various ranks. The nonlinear response equation of the environment against the motion of the main system is obtained. The nonlinear Langevin-Schrödinger equation is obtained as the macroscopic equation of motion of the dissipative system. The effect of nonlinearity of the environment is investigated on the spontaneous emission of an initially excited two-level atom imbedded in such an environment.

Cited in 2 Documents

MSC:

81S22 Open systems, reduced dynamics, master equations, decoherence
81S05 Commutation relations and statistics as related to quantum mechanics (general)
82B35 Irreversible thermodynamics, including Onsager-Machlup theory
81V80 Quantum optics
35Q55 NLS equations (nonlinear Schrödinger equations)

Keywords:

dissipative system; absorbing environment; nonlinear response equation; coupling tensor; susceptibility tensor; canonical quantization; nonlinear Langevin-Schrödinger equation; spontaneous emission
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References:

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