Spontaneous Beliaev-Landau scattering out of equilibrium

Year: 2017

Authors: Van Regemortel M., Casteels W., Carusotto I., Wouters M.

Autors Affiliation: ‎Univ Antwerp, TQC, Univ Pl 1, B-2610 Antwerp, Belgium;‎ Univ Trento, INO CNR BEC Ctr, Via Sommarive 14, I-38123 Povo, Italy; Univ Trento, Dipartimento Fis, Via Sommarive 14, I-38123 Povo, Italy

Abstract: We investigate Beliaev-Landau scattering in a gas of interacting photons in a coherently driven array of nonlinear dissipative resonators, as described by the one-dimensional driven-dissipative Bose-Hubbard model. Due to the absence of detailed balance in such an out-of-equilibrium setup, steady-state properties can be much more sensitive to the underlying microscopic dynamics. Because the popular truncated Wigner approximation dramatically fails in capturing this physics, we present an alternative approach, based on a systematic expansion beyond the Bogoliubov approximation, which includes the third-order correlation functions in the dynamics. As experimentally accessible signatures of Beliaev-Landau processes, we report a small but non-negligible correction to the Bogoliubov prediction for the steady-state momentum distribution, in the form of a characteristic series of peaks and dips, as well as non-Gaussian features in the statistics of the cavity output field.


Volume: 96 (5)      Pages from: 053854-1  to: 053854-14

DOI: 10.1103/PhysRevA.96.053854

Citations: 9
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