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Phys. Rev. Lett. 105, 090404 (2010) [4 pages]

Relaxation of a High-Energy Quasiparticle in a One-Dimensional Bose Gas

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Shina Tan1, Michael Pustilnik2, and Leonid I. Glazman1
1Department of Physics, Yale University, New Haven, Connecticut 06520, USA
2School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332, USA

Received 2 February 2010; published 26 August 2010

We evaluate the relaxation rate of high-energy quasiparticles in a weakly interacting one-dimensional Bose gas. Unlike in higher dimensions, the rate is a nonmonotonic function of temperature, with a maximum at the crossover to the state of suppressed density fluctuations. At the maximum, the relaxation rate may significantly exceed its zero-temperature value. We also find the dependence of the differential inelastic scattering rate on the transferred energy. This rate yields information about temperature dependence of local pair correlations.

© 2010 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.105.090404
DOI:
10.1103/PhysRevLett.105.090404
PACS:
03.75.Kk, 05.30.Jp