Quantum decay of dark solitons in one dimensional Bose systems

Details Quantum decay of dark solitons in one dimensional Bose systems Quantum decay of dark solitons in one dimensional Bose systems

2009-08-31

arxiv.org/abs/0908.4513v2

Phys.Rev.Lett.104:190402,2010

Physics

Condensed Matter

Quantum Gases

5 pages, 1 figure. Accepted for publication in PRL.

Scientific paper

10.1103/PhysRevLett.104.190402

Unless protected by the exact integrability, solitons are subject to dissipative forces, originating from a thermally fluctuating background. At low enough temperatures $T$ background fluctuations should be considered as being quantized which enables us to calculate finite lifetime of the solitons $\tau\sim T^{-4}$. We also find that the coherent nature of the quantum fluctuations leads to long-range interactions between the solitons mediated by the superradiation. Our results are of relevance to current experiments with ultracold atoms, while the approach may be extended to solitons in other media.

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