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.

arXiv comment6 pages, 2 figures

References in corpus (30)

• Observation of a Strongly-Interacting Degenerate Fermi Gas of Atoms
• Revealing the Superfluid Lambda Transition in the Universal Thermodynamics of a Unitary Fermi Gas
• Large momentum part of fermions with large scattering length
• Energetics of a strongly correlated Fermi gas
• Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
• Heat Capacity of a Strongly-Interacting Fermi Gas
• Measurement of interaction energy near a Feshbach resonance in a 6Li Fermi gas
• Exact Relations for a Strongly-interacting Fermi Gas from the Operator Product Expansion
• Yang-Yang thermodynamics on an atom chip
• Stability and phase coherence of trapped 1D Bose gases
• Pair correlations in a finite-temperature 1D Bose gas
• Verification of universal relations in a strongly interacting Fermi gas
• Short-Distance Correlation Properties of the Lieb-Liniger System and Momentum Distributions of Trapped One-Dimensional Atomic Gases
• Quantum transport through a Tonks-Girardeau gas
• Feynman diagrams versus Fermi-gas Feynman emulator
• Sub-Poissonian fluctuations in a 1D Bose gas: from the quantum quasi-condensate to the strongly interacting regime
• Number of closed-channel molecules in the BEC-BCS crossover
• Universal Properties of the Ultra-Cold Fermi Gas
• Tan relations in one dimension
• High temperature expansion applied to fermions near Feshbach resonance
• High-momentum tail in the Tonks gas under harmonic confinement
• Three-body correlation functions and recombination rates for bosons in three and one dimensions
• 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
• Interference of a thermal Tonks gas on a ring
• Momentum distribution of a trapped Fermi gas with large scattering length
• 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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• From the sinh-Gordon field theory to the one-dimensional Bose gas: exact local correlations and full counting statistics
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• Universality in one-dimensional fermions at finite temperature: Density, pressure, compressibility, and contact
• Expansion of one-dimensional lattice hard-core bosons at finite temperature
• Dymamical Casimir emission from polariton condensates
• Universal Tan relations for quantum gases in one dimension
• A coordinate Bethe ansatz approach to the calculation of equilibrium and nonequilibrium correlations of the one-dimensional Bose gas
• Tan's contact of a harmonically trapped one-dimensional Bose gas: strong-coupling expansion and conjectural approach at arbitrary interactions
• Collective many-body bounce in the breathing-mode oscillations of a Tonks-Girardeau gas
• One-particle density matrix of a trapped Lieb-Liniger anyonic gas
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• Solution of the BEC to BCS Quench in One Dimension
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• Full Counting Statistics of the momentum occupation numbers of the Tonks-Girardeau gas
• 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
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• Tailoring Dynamical Fermionization: Delta kick cooling of a Tonks-Girardeau gas
• Dynamical many-body delocalization transition of a Tonks gas in a quasi-periodic driving potential
• 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
• Quantum corrections to the classical field approximation for one-dimensional quantum many-body systems in equilibrium
• One-dimensional hard-core anyon gas in a harmonic trap at finite temperature
• Critical behavior of Tan's contact for bosonic systems with a fixed chemical potential
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• Nucleon Short-Range Correlations and High-Momentum Dynamics: Implications on the Equation of State of Dense Matter
• Structural and quantum properties of van der Waals cluster near the unitary regime
• Maxwell relation between entropy and atom-atom pair correlation
• The properties of Tonk-Girardeau Gas at Finite Temperature and Comparison with Polarized Free Fermions
• Statistical properties of the momentum occupation numbers of the Tonks-Girardeau gas in a harmonic trap
• 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
• Imaginary-time nonuniform mesh method for solving the multidimensional Schrodinger equation: Fermionization and melting of quantum Lennard-Jones crystals