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From GPE to KPZ: finite temperature dynamical structure factor of the 1D Bose gas

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arxiv 1201.6363 v1 pith:XD67JY3N submitted 2012-01-30 cond-mat.quant-gas

Manas Kulkarni , Austen Lamacraft This is my paper · ORCID
classification cond-mat.quant-gas
keywords dynamicalbosefactorfiniteomegastructuretemperaturewidth
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abstract

We study the finite temperature dynamical structure factor $S(k,\omega)$ of a 1D Bose gas using numerical simulations of the Gross--Pitaevskii equation appropriate to a weakly interacting system. The lineshape of the phonon peaks in $S(k,\omega)$ has a width $\propto |k|^{3/2}$ at low wavevectors. This anomalous width arises from resonant three-phonon interactions, and reveals a remarkable connection to the Kardar--Parisi--Zhang universality class of dynamical critical phenomena.

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    In a 1D driven-dissipative Bose-Hubbard model, spectral linewidths show KPZ z=3/2 scaling in the semiclassical regime, while tensor-network simulations reveal a change in the slowest Liouvillian excitation near the me...

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