Finite temperature spin dynamics of a two-dimensional Bose-Bose atomic mixture

Abstract

We examine the role of thermal fluctuations in uniform two-dimensional binary Bose mixtures of dilute ultracold atomic gases. We use a mean-field Hartree-Fock theory to derive analytical predictions for the miscible-immiscible transition. A nontrivial result of this theory is that a fully miscible phase at $T=0$ may become unstable at $T\ne 0$, as a consequence of a divergent behaviour in the spin susceptibility. We test this prediction by performing numerical simulations with the Stochastic (Projected) Gross-Pitaevskii equation, which includes beyond mean-field effects. We calculate the equilibrium configurations at different temperatures and interaction strengths and we simulate spin oscillations produced by a weak external perturbation. Despite some qualitative agreement, the comparison between the two theories shows that the mean-field approximation is not able to properly describe the behavior of the two-dimensional mixture near the miscible-immiscible transition, as thermal fluctuations smoothen all sharp features both in the phase diagram and in spin dynamics, except for temperature well below the critical temperature for superfluidity.

arXiv comment13 pages, 8 figures

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• Many-body and temperature effects in two-dimensional quantum droplets in Bose-Bose mixtures
• Quantum hydrodynamics of the spinor Bose-Einstein condensate at non-zero temperatures
• Spin-orbit-coupling-induced phase separation in trapped Bose gases
• Phase transition dimensionality crossover from two to three dimensions in a trapped ultracold atomic Bose gas
• Miscibility regimes in a ${}^{23}$Na-${}^{39}$K quantum mixture
• Finite temperature ferromagnetic transition in coherently coupled Bose gases
• Magnonic Superconductivity
• Stochastic Gross-Pitaevskii theory for a spin-1 Bose gas: Application to superfluidity in two dimensions
• Equilibrium, Relaxation and Fluctuations in homogeneous Bose-Einstein Condensates: Linearized Classical Field Analysis
• Preparation of quasi-two-dimensional Bose mixture of ultracold ${}^{23}$Na and ${}^{87}$Rb atoms
• Miscibility-Immiscibility transition of strongly interacting bosonic mixtures in optical lattices
• Temperature driven false vacuum decay in coherently coupled Bose superfluids