Exact Quantum Decay of an Interacting Many-Particle System: the Calogero-Sutherland model
arXiv:1504.01620 · doi:10.1088/1367-2630/18/1/015014
Abstract
The exact quantum decay of a one-dimensional Bose gas with inverse-square interactions is presented. The system is equivalent to a gas of particles obeying generalized exclusion statistics. We consider the expansion dynamics of a cloud initially confined in a harmonic trap that is suddenly switched off. The decay is characterized by analyzing the fidelity between the initial and the time-evolving states, also known as the survival probability. It exhibits early on a quadratic dependence on time that turns into a power-law decay, during the course of the evolution. It is shown that the particle number and the strength of interactions determine the power-law exponent in the latter regime, as recently conjectured. The nonexponential character of the decay is linked to the many-particle reconstruction of the initial state from the decaying products.
6pp, 2 figures, title changed. Version published in "Focus on Strongly Interacting Quantum Gases in One Dimension" (NJP, IOP) dedicated to Marvin D. Girardeau (1930-2015)
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