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

Bogdan Damski
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Abstract

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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Bogdan Damski. 2006-04-03. Shock waves in a one-dimensional Bose gas: from a Bose-Einstein condensate to a Tonks gas. https://doi.org/10.1103/physreva.73.043601

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