Stationary States of Dissipative Quantum Systems
Vasily E. Tarasov
TL;DR
This paper explores stationary states in dissipative quantum systems, highlighting their relation to Hamiltonian systems, proposing pure stationary states for harmonic oscillators, and analyzing bifurcations as quantum analogs of classical phenomena.
Contribution
It introduces the concept of pure stationary states in dissipative quantum harmonic oscillators and examines bifurcations as quantum analogs of classical dynamical bifurcations.
Findings
Stationary states can coincide with those of Hamiltonian systems.
Pure stationary states for dissipative harmonic oscillators are proposed.
Bifurcations in dissipative quantum systems mirror classical bifurcations.
Abstract
In this Letter we consider stationary states of dissipative quantum systems. We discuss stationary states of dissipative quantum systems, which coincide with stationary states of Hamiltonian quantum systems. Dissipative quantum systems with pure stationary states of linear harmonic oscillator are suggested. We discuss bifurcations of stationary states for dissipative quantum systems which are quantum analogs of classical dynamical bifurcations.
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