Shock waves in a one-dimensional Bose gas: from a Bose-Einstein condensate to a Tonks gas

Details Shock waves in a one-dimensional Bose gas: from a Bose-Einstein condensate to a Tonks gas Shock waves in a one-dimensional Bose gas: from a Bose-Einstein condensate to a Tonks gas

2005-06-08

arxiv.org/abs/cond-mat/0506210v3

Phys. Rev. A 73, 043601 (2006)

Physics

Condensed Matter

Other Condensed Matter

10 pages, small corrections with respect to the last submission, version accepted in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.73.043601

We derive and analyze shock-wave solutions of hydrodynamic equations describing repulsively interacting one dimensional Bose gas. We also use the number-conserving Bogolubov approach to verify accuracy of the Gross-Pitaevskii equation in shock wave problems. We show that quantum corrections to dynamics of shocks (dark-shock-originated solitons) in a Bose-Einstein condensate are negligible (important) for a realistic set of system parameters. We point out possible signatures of a Bose-Einstein condensate -- Tonks crossover in shock dynamics. Our findings can be directly verified in different experimental setups.

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