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          Institute: MPI für Kernphysik     Collection: Theory of Chaos, Fields and Statistical Inference     Display Documents



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ID: 61259.0, MPI für Kernphysik / Theory of Chaos, Fields and Statistical Inference
Rate equations for sympathetic cooling of trapped bosons or fermions
Authors:Papenbrock, T.; Salgueiro, A.N.; Weidenmüller, H.A.
Language:English
Date of Publication (YYYY-MM-DD):2002
Title of Journal:Physical Review A (Atomic, Molecular, and Optical Physics)
Journal Abbrev.:Phys. Rev. A
Volume:65
Start Page:1
End Page:14
Sequence Number of Article:043601
Copyright:©2002 The American Physical Society
Review Status:Peer-review
Audience:Experts Only
Abstract / Description:We derive two different sets of rate equations for sympathetic cooling of harmonically trapped bosons or fermions. The rate equations are obtained from a master equation derived earlier by Lewenstein et al. [Phys. Rev. A 51, 4617 (1995)] by means of decoherence and ergodicity arguments. We show analytically that the thermal equilibrium state is a stationary solution of our rate equation. We present analytical results for the rate coefficients which are needed to solve the rate equations, and we give approximate formulas that permit their computation in practice. We solve the two sets of rate equations numerically and compare the results. The cooling times obtained in both approaches agree very well. The equilibration rates show fair agreement.
External Publication Status:published
Document Type:Article
Affiliations:MPI für Kernphysik/Guest Groups and Emeriti/Theory (H.A. Weidenmüller)
External Affiliations:Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831
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