Ideal Gases in Time-Dependent Traps
Georg M. Bruun, Charles W. Clark

TL;DR
This paper provides analytical insights into the behavior of ideal gases in time-varying harmonic traps, focusing on free expansion and trap modulation, with relevance to current experiments on trapped Fermions.
Contribution
It introduces a scaling formalism to derive simple analytical results for dynamic properties of ideal gases in time-dependent traps.
Findings
Analytical expressions for free expansion dynamics.
Response characteristics to harmonic trap modulation.
Relevance to experimental studies on trapped Fermions.
Abstract
We investigate theoretically the properties of an ideal trapped gas in a time-dependent harmonic potential. Using a scaling formalism, we are able to present simple analytical results for two important classes of experiments: free expansion of the gas upon release of the trap; and the response of the gas to a harmonic modulation of the trapping potential is investigated. We present specific results relevant to current experiments on trapped Fermions.
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