Adiabatic Elimination in Compound Quantum Systems with Feedback

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Title Adiabatic Elimination in Compound Quantum Systems with Feedback
Author Warszawski, Prahlad; Wiseman, Howard Mark
Journal Name Physical Review A: Atomic, Molecular and Optical Physics
Editor Bernd Crasemann
Year Published 2001
Place of publication USA
Publisher American Physical Society
Abstract Feedback in compound quantum systems is effected by using the output from one subsystem (“the system”) to control the evolution of a second subsystem (“the ancilla”) that is reversibly coupled to the system. In the limit where the ancilla responds to fluctuations on a much shorter time scale than does the system, we show that it can be adiabatically eliminated, yielding a master equation for the system alone. This is very significant as it decreases the necessary basis size for numerical simulation and allows the effect of the ancilla to be understood more easily. We consider two types of ancilla: a two-level ancilla (e.g., a two-level atom) and an infinite-level ancilla (e.g., an optical mode). For each, we consider two forms of feedback: coherent (for which a quantum-mechanical description of the feedback loop is required) and incoherent (for which a classical description is sufficient). We test the master equations we obtain using numerical simulation of the full dynamics of the compound system. For the system (a parametric oscillator) and feedback (intensity-dependent detuning) we choose, good agreement is found in the limit of heavy damping of the ancilla. We discuss the relation of our work to previous work on feedback in compound quantum systems, and also to previous work on adiabatic elimination in general.
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Copyright Statement Copyright 2001 American Physical Society. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
Volume 63
Issue Number 1
Edition -
Page from 01380.1
Page to 01380.14
ISSN 1050-2947
Date Accessioned 2002-04-15
Language en_AU
Research Centre Centre for Quantum Dynamics
Faculty Faculty of Science
Subject PRE2009-Theoretical Physics
Publication Type Journal Articles (Refereed Article)
Publication Type Code c1

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