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Finite representations of continuum environments

Zwolak, Michael (2008) Finite representations of continuum environments. Journal of Chemical Physics, 129 (10). Art. No. 101101. ISSN 0021-9606. doi:10.1063/1.2976008.

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Understanding dissipative and decohering processes is fundamental to the study of quantum systems. An accurate and generic method for investigating these processes is to simulate both the system and environment, which, however, is computationally very demanding. We develop a novel approach to constructing finite representations of the environment based on the influence of different frequency scales on the system's dynamics. As an illustration, we analyze a solvable model of an optical mode decaying into a reservoir. The influence of the environment modes is constant for small frequencies, but drops off rapidly for large frequencies, allowing for a very sparse representation at high frequencies that gives a significant computational speedup in simulating the environment. This approach provides a general framework for simulating open quantum systems.

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Additional Information:©2008 American Institute of Physics. Received 28 May 2008; accepted 5 August 2008; published 8 September 2008. We thank W. Zurek, G. Refael, G. Smith, F. M. Cucchietti, and P. Milonni for helpful comments. This research was supported in part by a Gordon and Betty Moore Fellowship at Caltech and by the U.S. Department of Energy through the LANL/LDRD Program.
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Gordon and Betty Moore FoundationUNSPECIFIED
Department of EnergyUNSPECIFIED
Subject Keywords:environmental factors, quantum theory
Issue or Number:10
Record Number:CaltechAUTHORS:ZWOjcp08
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11627
Deposited By: Archive Administrator
Deposited On:14 Sep 2008 00:31
Last Modified:08 Nov 2021 22:01

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