Beliaev Damping in Spin-$\frac{1}{2}$ Interacting Bosons with Spin-Orbit Coupling

Abstract

Beliaev damping provides one of the most important mechanisms for dissipation of quasiparticles through beyond-mean-field effects at zero temperature. Here we present the first analytical result of Beliaev damping in low-energy excitations of spin-$\frac{1}{2}$ interacting bosons with equal Rashba and Dresslhaus spin-orbit couplings. We identify novel features of Beliaev decay rate due to spin-orbit coupling, in particular, it shows explicit dependence on the spin-density interaction and diverges at the interaction-modified phase boundary between the zero-momentum and plane-wave phases. This represents a manifestation of the effect of spin-orbit coupling in the beyond-mean-field regime, which by breaking Galilean invariance couples excitations in the density- and spin-channels. By describing the Beliaev damping in terms of the observable dynamic structure factors, our results allow direct experimental access within current facilities.

6 pages, 2 figures

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• Transport of Vector Solitons in Spin-Dependent Nonlinear Thouless Pumps
• Bose-Einstein condensate in Bloch bands with off-diagonal periodic potential
• Bound states of spin-orbit coupled cold atoms in a Dirac delta-function potential
• Quantum corrections to a spin-orbit coupled Bose-Einstein Condensate
• Topological spinor vortex matter on spherical surface induced by non-Abelian spin-orbital-angular-momentum coupling
• Bogolon-mediated electromagnetic wave absorption in multicomponent Bose-Einstein condensates