Bose-Einstein condensation and critical behavior of two-component bosonic gases

Abstract

We study Bose-Einstein condensation (BEC) in three-dimensional two-component bosonic gases, characterizing the universal behaviors of the critical modes arising at the BEC transitions. For this purpose, we use field-theoretical (FT) renormalization-group (RG) methods and perform mean-field and numerical calculations. The FT RG analysis is based on the Landau-Ginzburg-Wilson Phi4 theory with two complex scalar fields which has the same symmetry as the bosonic system. In particular, for identical bosons with exchange Z_2,e symmetry, coupled by effective density-density interactions, the global symmetry is Z_2e X U(1) X U(1). At the BEC transition it may break into Z_2,e X Z_2 X Z_2 when both components condense simultaneously, or to U(1) X Z_2 when only one component condenses. This implies different universality classes for the corresponding critical behaviors. Numerical simulations of the two-component Bose-Hubbard model in the hard-core limit support the RG prediction: when both components condense simultaneously, the critical behavior is controlled by a decoupled XY fixed point, with unusual slowly-decaying scaling corrections arising from the on-site inter-species interaction.

13 pages

References in corpus (15)

• Many-Body Physics with Ultracold Gases
• Double species condensate with tunable interspecies interactions
• The critical exponents of the superfluid transition in He4
• Degenerate Bose-Bose mixture in a three-dimensional optical lattice
• 39-K Bose-Einstein condensate with tunable interactions
• Critical Behavior of a Trapped Interacting Bose Gas
• Superfluidity of Interacting Bosonic Mixtures in Optical Lattices
• All-Optical Formation of Quantum Degenerate Mixtures
• Bootstrapping phase transitions in QCD and frustrated spin systems
• Spatially inhomogeneous phase evolution of a two-component Bose-Einstein condensate
• Phases and Transitions in the Spin-1 Bose-Hubbard Model: Systematics of a Mean-field Theory
• Spin-1 bosons with coupled ground states in optical lattices
• Superfluid to normal phase transition in strongly correlated bosons in two and three dimensions
• Renormalization-group flow and asymptotic behaviors at the Berezinskii-Kosterlitz-Thouless transitions
• Spin dipole oscillation and relaxation of coherently coupled Bose-Einstein condensates

Cited by in corpus (16)

• Coherent and dissipative dynamics at quantum phase transitions
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• Solution of the classical Yang--Baxter equation with an exotic symmetry, and integrability of a multi-species boson tunneling model
• Characteristic temperature for the immiscible-miscible transition of binary condensates in optical lattices
• Pairing and pair superfluid density in one-dimensional Hubbard models
• Phase diagram and multicritical behaviors of mixtures of 3D bosonic gases
• Dimensional crossover of Bose-Einstein condensation phenomena in quantum gases confined within slab geometries
• Simulating frustrated magnetism with spinor Bose gases
• First-order phase transitions in spinor Bose gases and frustrated magnets
• Functional renormalization for repulsive Bose-Bose mixtures at zero temperature
• Shape dependence and anisotropic finite-size scaling of the phase coherence of three-dimensional Bose-Einstein condensed gases
• First-order, continuous, and multicritical Bose-Einstein condensation in Bose mixtures
• Critical behavior at the spatial boundary of a trapped inhomogeneous Bose-Einstein condensate
• Spin-orbit coupled mean-field Bose gas at finite temperature
• Charged and neutral fixed points in the O(N)+O(N)-model with Abelian gauge fields
• Phase diagram of two-component mean-field Bose mixtures