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arXiv · 1606.01767

Weak invariants of time-dependent quantum dissipative systems

Sumiyoshi Abe
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Abstract

The concept of weak invariant is introduced. Then, the weak invariants associated with time-dependent quantum dissipative systems are discussed in the context of master equations of the Lindblad type. In particular, with the help of the su(1,1) Lie-algebraic structure, the weak invariant is explicitly constructed for the quantum damped harmonic oscillator with the time-dependent frequency and friction coefficient. This generalizes the Lewis-Riesenfeld invariant to the case of nonunitary dynamics in the Markovian approximation.

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Sumiyoshi Abe. 2016-06-06. Weak invariants of time-dependent quantum dissipative systems. https://doi.org/10.1103/physreva.94.032116

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