Tan's contact in a cigar-shaped dilute Bose gas

Abstract

We compute the Tan's contact of a weakly interacting Bose gas at zero temperature in a cigar-shaped configuration. Using an effective one-dimensional Gross-Pitaeskii equation and Bogoliubov theory, we derive an analytical formula that interpolates between the three-dimensional and the one-dimensional mean-field regimes. In the strictly one-dimensional limit, we compare our results with Lieb-Liniger theory. Our study can be a guide for actual experiments interested in the study of Tan's contact in the dimensional crossover.

References in corpus (7)

• Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
• Effective mean-field equations for cigar-shaped and disk-shaped Bose-Einstein condensates
• Quasi-1D Bose-Einstein condensates in the dimensional crossover regime
• Momentum-resolved observation of thermal and quantum depletion in an interacting Bose gas
• Universal properties of Fermi gases in arbitrary dimensions
• High-momentum tails as magnetic structure probes for strongly-correlated $SU(\kappa )$ fermionic mixtures in one-dimensional traps
• Strongly correlated one-dimensional Bose-Fermi quantum mixtures: symmetry and correlations

Cited by in corpus (6)

• Tan's two-body contact across the superfluid transition of a planar Bose gas
• Stationary and dynamical properties of two harmonically trapped bosons in the crossover from two dimensions to one
• High-momentum tail and universal relations of a Fermi gas near a Raman-dressed Feshbach resonance
• Spin-incoherent Luttinger liquid of one-dimensional SU($\kappa$) fermions
• High-momentum oscillating tails of strongly interacting 1D gases in a box
• On the survival of the quantum depletion of a condensate after release from a magnetic trap