Universal contact for a Tonks-Girardeau gas at finite temperature

Abstract

We determine the finite-temperature momentum distribution of a strongly interacting 1D Bose gas in the Tonks-Girardeau (impenetrable-boson) limit under harmonic confinement, and explore its universal properties associated to the scale invariance of the model. We show that, at difference from the unitary Fermi gas in three dimensions, the weight of its large-momentum tails -- given by the Tan's contact -- increase with temperature, and calculate the high-temperature universal second contact coefficient using a virial expansion.

6 pages, 2 figures

References in corpus (12)

• Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
• Exact Relations for a Strongly-interacting Fermi Gas from the Operator Product Expansion
• Verification of universal relations in a strongly interacting Fermi gas
• Quantum transport through a Tonks-Girardeau gas
• Number of closed-channel molecules in the BEC-BCS crossover
• Universal Properties of the Ultra-Cold Fermi Gas
• Momentum distribution dynamics of a Tonks-Girardeau gas: Bragg reflections of a quantum many-body wavepacket
• Universal contact of strongly interacting fermions at finite temperatures
• Finite-temperature properties of hard-core bosons confined on one-dimensional optical lattices
• Momentum distribution of 1D Bose gases at the quasi-condensation crossover: theoretical and experimental investigation
• Ground State Properties of a Tonks-Girardeau Gas in a Split Trap
• Correlation functions of one-dimensional bosons at low temperature

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• Strongly interacting trapped one-dimensional quantum gases: an exact solution
• Universality in one-dimensional fermions at finite temperature: Density, pressure, compressibility, and contact
• Universal Tan relations for quantum gases in one dimension
• One-particle density matrix of a trapped Lieb-Liniger anyonic gas
• Solution of the BEC to BCS Quench in One Dimension
• Effective thermalization of a many-body dynamically localized Bose gas
• Self-Pinning Transition of a Tonks-Girardeau Gas in a Bose-Einstein Condensate
• Correlation properties of a one-dimensional repulsive Bose gas at finite temperature
• Non-equilibrium dynamics of the anyonic Tonks-Girardeau gas at finite temperature
• Equation of State of Neutron-Rich Matter in $d$-Dimensions
• One-particle density matrix and momentum distribution of the out-of-equilibrium 1D Tonks-Girardeau gas: Analytical results at large $N$
• Duality between weak and strong interactions in quantum gases
• Thermodynamics of one-dimensional SU(4) and SU(6) fermions with attractive interactions
• High-momentum oscillating tails of strongly interacting 1D gases in a box
• Dynamical many-body delocalization transition of a Tonks gas in a quasi-periodic driving potential
• Tailoring Dynamical Fermionization: Delta kick cooling of a Tonks-Girardeau gas
• Critical behavior of Tan's contact for bosonic systems with a fixed chemical potential
• Nucleon Short-Range Correlations and High-Momentum Dynamics: Implications on the Equation of State of Dense Matter
• Statistical properties of the momentum occupation numbers of the Tonks-Girardeau gas in a harmonic trap
• Maxwell relation between entropy and atom-atom pair correlation
• Quasicondensation and off-diagonal long-range order of hard-core bosons during a free expansion
• Manifold formation and crossings of ultracold lattice spinor atoms in the intermediate interaction regime