Stability of stationary solutions of the Schrodinger-Langevin equation
arXiv:quant-ph/0304190 · doi:10.1016/j.physleta.2004.02.035
Abstract
The stability properties of a class of dissipative quantum mechanical systems are investigated. The nonlinear stability and asymptotic stability of stationary states (with zero and nonzero dissipation respectively) is investigated by Liapunov's direct method. The results are demonstrated by numerical calculations on the example of the damped harmonic oscillator.
arXiv commentrevised, 12 pages, 7 figures
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- A "Square-root" Method for the Density Matrix and its Applications to Lindblad Operators
- Weakly nonlocal non-equilibrium thermodynamics - variational principles and Second Law