Fokker-Planck equations method in the theory of multilevel atom relaxation
Alexander V. Gorokhov, Victor A. Mikhailov
Abstract
Alexander V. Gorokhov, Victor A. Mikhailov
Abstract
This work is devoted to the description of the interaction between n-level atom and a large dissipative system (heat bath). SU(n)-group coherent states as useful and convenient basis are employed. Fokker-Planck-like equations for (rho) - symbol of reduced density matrix taking into account possible squeezed fluctuations of heat bath are derived. New formulas for correlators of the transition operators between levels of system are obtained and influence of squeezing on the shape of radiation lines is discussed.
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This work is devoted to the description of the interaction between n-level atom and a large dissipative system (heat bath). SU(n)-group coherent states as useful and convenient basis are employed. Fokker-Planck-like equations for (rho) - symbol of reduced density matrix taking into account possible squeezed fluctuations of heat bath are derived. New formulas for correlators of the transition operators between levels of system are obtained and influence of squeezing on the shape of radiation lines is discussed.
Key concepts: Dissipative system, Fokker–Planck equation, Physics, Density matrix, Atom (system on chip), Relaxation (psychology), Mathematical physics, Work (physics)