Condensation and superfluidity of dilute Bose gases with finite-range interaction

Abstract

We investigate an ultracold and dilute Bose gas by taking into account a finite-range two-body interaction. The coupling constants of the resulting Lagrangian density are related to measurable scattering parameters by following the effective-field-theory approach. A perturbative scheme is then developed up to the Gaussian level, where both quantum and thermal fluctuations are crucially affected by finite-range corrections. In particular, the relation between spontaneous symmetry breaking and the onset of superfluidity is emphasized by recovering the renowned Landau's equation for the superfluid density in terms of the condensate one.

18 pages, 4 figures, invited contribution to New Journal of Physics Focus Issue on Quantum Transport in Ultracold Atoms

References in corpus (5)

• Pairing fluctuations and the superfluid density through the BCS-BEC crossover
• Ground state energy of the two-dimensional weakly interacting Bose gas: First correction beyond Bogoliubov theory
• Non-Universal Equation of State of the Two-Dimensional Bose Gas
• Finite-Range Corrections to the Thermodynamics of the One-Dimensional Bose Gas
• Collective excitations of a dilute Bose gas at finite temperature: TDHFB Theory

Cited by in corpus (17)

• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Topological superfluid transition in bubble-trapped condensates
• Finite-range effects in ultradilute quantum drops
• Shell-shaped atomic gases
• Scattering theory and equation of state of a spherical two-dimensional Bose gas
• BCS-BEC crossover of atomic Fermi superfluid in a spherical bubble trap
• Towards a QMC-based density functional including finite-range effects: excitation modes of a ${}^{39}$K quantum droplet
• Superfluids, Fluctuations and Disorder
• Zero-temperature equation of state of a two-dimensional bosonic quantum fluid with finite-range interaction
• On-shell approximation for the s-wave scattering theory
• Trapped Bose-Bose mixtures at finite temperature: a quantum Monte Carlo approach
• Nonuniversal Equation of State of a Quasi-2D Bose Gas in Dimensional Crossover
• Proposal of a computational approach for simulating thermal bosonic fields in phase space
• Interaction-Induced Dimensional Crossover through Full 3D to 1D
• Cornwall-Jackiw-Tomboulis effective field theory to nonuniversal equation of state of an ultracold Bose gas
• Effective field theory of bosons with finite-range interaction in a disordered environment
• Probing $p$-wave effects in spin-density separation of Bose mixtures with the dynamic structure factor