Abstract
Decoherence of quantum systems from entanglement with an unmonitored environment is, to date, the most compelling explanation of the emergence of a classical picture from a quantum world. While it is well understood for a single Lindblad operator, the role in the einselection process of a complex system-environment interaction remains to be clarified. In this paper, we analyze an open quantum dynamics inspired by cavity QED experiments with two noncommuting Lindblad operators modeling decoherence in the number basis and dissipative decoherence in the coherent-state basis. We study and solve exactly the problem using quantum trajectories and phase-space techniques. The einselection optimization problem, which we consider to be about finding states that minimize the variation of some entanglement witness at a given energy, is studied numerically. We show that Fock states remain the most robust states to decoherence up to a critical coupling.
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