Beyond mean-field properties of binary dipolar Bose mixtures at low temperatures

TL;DR

This paper provides a detailed theoretical analysis of low-temperature properties of dipolar Bose mixtures, deriving effective hydrodynamics, Green's functions, and stability conditions beyond mean-field approximations.

Contribution

It introduces a rigorous derivation of the effective hydrodynamic action and stability criteria for dipolar Bose mixtures at low temperatures, extending beyond mean-field theory.

Findings

Derived the effective hydrodynamic action for dipolar Bose mixtures.

Calculated anisotropic superfluid and condensate densities beyond mean-field.

Established stability conditions for the mixture in low-temperature regimes.

Abstract

We rigorously analyze the low-temperature properties of homogeneous three-dimensional two-component Bose mixture with dipole-dipole interaction. For such a system the effective hydrodynamic action that governs the behavior of low-energy excitations is derived. The infrared structure of the exact single-particle Green's functions is obtained in terms of macroscopic parameters, namely the inverse compressibility and the superfluid density matrices. Within one-loop approximation we calculate the anisotropic superfluid and condensate densities and give the beyond mean-field stability condition for the binary dipolar Bose gas. A brief variational derivation of the coupled equations that describe macroscopic hydrodynamics of the system in the external non-uniform potential at zero temperature is presented.