Quantum decay of dark solitons in one dimensional Bose systems

Abstract

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.

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

References in corpus (6)

• Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
• Breakdown of integrability in a quasi-one-dimensional ultracold bosonic gas
• Dark soliton dynamics in Bose-Einstein condensates at finite temperature
• Bloch oscillations in one-dimensional spinor gas
• Dark matter-wave solitons in the dimensionality crossover
• Quantum fluctuations in the image of a Bose gas

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