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

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

2012-01-30

arxiv.org/abs/1201.6363v1

Physics

Condensed Matter

Quantum Gases

Scientific paper

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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