Thermodynamics of dilute Bose gases: Beyond mean-field theory for binary mixtures of Bose-Einstein condensate

Abstract

We study the thermodynamic properties of binary Bose mixtures, by developing a beyond mean-field Popov theory which properly includes the effects of quantum and thermal fluctuations in both the density and spin channels. Results for key thermodynamic quantities, such as the isothermal compressibility and the magnetic susceptibility, are derived from a perturbative calculation of the grand-canonical potential. We find that thermal fluctuations can play a crucial role on the miscibility condition of a binary mixture, favoring phase separation at finite temperature even if the mixture is soluble at zero temperature, as already anticipated in a previous work [Ota et al., Phys. Rev. Lett. 123, 075301 (2019)]. We further investigate the miscibility condition for binary mixtures in the presence of asymmetry in the intra-species interactions, as well as in the masses of the two components. Furthermore, we discuss the superfluid behavior of the mixture and the temperature dependence of the Andreev-Bashkin effect.

18 pages, 10 figures. Minor changes and corrections

References in corpus (13)

• Quantum liquid droplets in a mixture of Bose-Einstein condensates
• Emergence of coherence in a uniform quasi-two-dimensional Bose gas
• Finite Temperature Models of Bose-Einstein Condensation
• Homogeneous Atomic Fermi Gases
• Quantum depletion of a homogeneous Bose-Einstein condensate
• Observation of deviations from ideal gas thermodynamics in a trapped Bose-Einstein condensed gas
• Effects of Interactions on the Critical Temperature of a Trapped Bose Gas
• Quantum Monte-Carlo study of the Bose polaron problem in a one-dimensional gas with contact interactions
• Beyond Lee-Huang-Yang description of self-bound Bose mixtures
• Andreev-Bashkin effect in superfluid cold gases mixture
• Spin-Dipole Oscillation and Polarizability of a Binary Bose-Einstein Condensate near the Miscible-Immiscible Phase Transition
• Measurement of the Canonical Equation of State of a Weakly Interacting 3D Bose Gas
• Single-shot reconstruction of the density profile of a dense atomic gas

Cited by in corpus (18)

• Finite temperature spin dynamics of a two-dimensional Bose-Bose atomic mixture
• Thermodynamics of a dilute Bose gas: A path-integral Monte Carlo study
• Phase separation in binary Bose mixtures at finite temperature
• Self-consistent theory of a homogeneous binary Bose mixture with strong repulsive interspecies interaction
• Miscibility regimes in a ${}^{23}$Na-${}^{39}$K quantum mixture
• Functional renormalization for repulsive Bose-Bose mixtures at zero temperature
• Weakly-interacting Bose-Bose mixtures from the functional renormalisation group
• Superfluid drag between excitonic polaritons and superconducting electron gas
• Spin conductivity spectrum and spin superfluidity in a binary Bose mixture
• First-order, continuous, and multicritical Bose-Einstein condensation in Bose mixtures
• Temperature-induced miscibility of impurities in trapped Bose gases
• Polarons in Binary Bose-Einstein Condensates
• Signature of Andreev-Bashkin superfluid drag from Cavity Optomechanics
• Thermal-induced Local Imbalance in Repulsive Binary Bose Mixtures
• Thermodynamics of a weakly interacting Bose gas above the transition temperature
• Spin-orbit coupled mean-field Bose gas at finite temperature
• Phase diagram of two-component mean-field Bose mixtures
• Fragmentation Temperature of 1D and 3D Quantum Droplets in a BEC Mixture