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arXiv:1511.08764 · Physical Review X

Effective Dynamics of Disordered Quantum Systems

Chahan M. Kropf, Clemens Gneiting, Andreas Buchleitner

Published Aug 19, 2016• 44 citations
arXivHTMLPDF

Abstract

A progressive loss of phase information (i.e., decoherence) is fundamental to many physical systems since they evolve over time. Researchers present a way of deriving master equations to dynamically characterize disordered quantum systems with finite dimensions.
DOI
10.1103/physrevx.6.031023

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Open-system dynamics play a key role in the experimental and theoretical study of cavity optomechanical systems. In many cases, the quantum Langevin equations have enabled excellent models for optical decoherence, yet a master-equation approach to the fully nonlinear optomechanical Hamiltonian has thus far proven more elusive. To address this outstanding question and broaden the mathematical tool set available, we derive a solution to the Lindblad master equation that models optical decoherence for a system evolving with the nonlinear optomechanical Hamiltonian. The method combines a Lie-algebra solution to the unitary dynamics with a vectorization of the Lindblad equation, and we demonstrate its applicability by considering the preparation of optical cat states via the optomechanical nonlinearity in the presence of optical loss. Our results provide a direct way of analytically assessing the impact of optical decoherence on the optomechanical intracavity state.