Quantum criticality of the imperfect Bose gas in d dimensions

Abstract

We study the low-temperature limit of the d-dimensional imperfect Bose gas. Relying on an exact analysis of the microscopic model, we establish the existence of a second-order quantum phase transition to a phase involving the Bose-Einstein condensate. The transition is triggered by varying the chemical potential and persists at non-zero temperatures T for d>2. We extract the exact phase diagram and identify the scaling regimes in the vicinity of the quantum critical point focusing on the behavior of the correlation length ξ. The length ξdevelops an essential singularity exclusively for d=2. We follow the evolution of the phase diagram varying d. For d>2 our results agree with renormalization-group based analysis of the effective bosonic order-parameter models with the dynamical exponent z=2.

10 pages, 2 figures; version (almost) as published

References in corpus (8)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Universal thermodynamics of a two-dimensional Bose gas
• Renormalization group for phases with broken discrete symmetry near quantum critical points
• Casimir force induced by imperfect Bose gas
• The imperfect Bose gas in d dimensions: critical behavior and Casimir forces
• Nematic Quantum Criticality Without Order
• Renormalized phi^6 model for quantum phase transitions in systems of itinerant fermions
• The bulk correlation length and the range of thermodynamic Casimir forces at Bose-Einstein condensation

Cited by in corpus (8)

• Critical Casimir Effect: Exact Results
• Dimensional crossovers and Casimir forces for the Bose gas in anisotropic optical lattices
• Thermal critical dynamics from equilibrium quantum fluctuations
• First-order, continuous, and multicritical Bose-Einstein condensation in Bose mixtures
• Exact results for the Casimir force of a three-dimensional model of relativistic Bose gas in a film geometry
• Casimir forces for the ideal Bose gas in anisotropic optical lattices: the effect of alternating sign upon varying dimensionality
• Non-classical critical exponents at Bose-Einstein condensation
• Phase diagram of two-component mean-field Bose mixtures