Beyond-Luttinger-Liquid thermodynamics of a one-dimensional contact repulsive Bose gas

Abstract

We present a thorough study of the thermodynamics of a one-dimensional repulsive Bose gas, focusing in particular on corrections beyond the Luttinger-liquid description. We compute the chemical potential, the pressure and the contact, as a function of temperature and gas parameter with exact thermal Bethe-Ansatz. In addition, we provide interpretations of the main features in the analytically tractable regimes, based on a variety of approaches (Bogoliubov, hard-core, Sommerfeld and virial). The beyond Luttinger-liquid thermodynamic effects are found to be non-monotonic as a function of gas parameter. Such behavior is explained in terms of non-linear dispersion and ``negative excluded volume'' effects, for weak and strong repulsion respectively, responsible for the opposite sign corrections in the thermal next-to-leading term of the thermodynamic quantities at low temperatures. Our predictions can be applied to other systems including super Tonks-Girardeau gases, dipolar and Rydberg atoms, helium, quantum liquid droplets in bosonic mixtures and impurities in a quantum bath.

arXiv comment10 pages, 3 figures

References in corpus (64)

• One-Dimensional Fermi liquids
• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Quantum Mechanical Stabilization of a Collapsing Bose-Bose Mixture
• Realizing quantum Ising models in tunable two-dimensional arrays of single Rydberg atoms
• Revealing the Superfluid Lambda Transition in the Universal Thermodynamics of a Unitary Fermi Gas
• Regimes of quantum degeneracy in trapped 1D gases
• Large momentum part of fermions with large scattering length
• Energetics of a strongly correlated Fermi gas
• Exploring the Thermodynamics of a Universal Fermi Gas
• Realization of an Excited, Strongly-Correlated Quantum Gas Phase
• Exciting Collective Oscillations in a Trapped 1D Gas
• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• Ultradilute low-dimensional liquids
• Bright soliton to quantum droplet transition in a mixture of Bose-Einstein condensates
• Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
• Motion of a heavy impurity through a Bose-Einstein condensate
• Pair correlations in a finite-temperature 1D Bose gas
• Verification of universal relations in a strongly interacting Fermi gas
• Contact Measurements on Atomic BEC
• Short-Distance Correlation Properties of the Lieb-Liniger System and Momentum Distributions of Trapped One-Dimensional Atomic Gases
• Beyond Tonks-Girardeau: strongly correlated regime in quasi-one-dimensional Bose gases
• Sub-Poissonian fluctuations in a 1D Bose gas: from the quantum quasi-condensate to the strongly interacting regime
• Probing the Excitations of a Lieb-Liniger Gas from Weak to Strong Coupling
• Tan relations in one dimension
• Dynamical structure factor of one-dimensional Bose gases: experimental signatures of beyond-Luttinger liquid physics
• Boiling a Unitary Fermi Liquid
• Measurement of the Homogeneous Contact of a Unitary Fermi gas
• Universal Relations for Identical Bosons from 3-Body Physics
• Finite temperature correlations in the Lieb-Liniger 1D Bose gas
• Precise determination of the structure factor and contact in a unitary Fermi gas
• Quantum Bose-Bose droplets at a dimensional crossover
• Correlation functions and momentum distribution of one-dimensional Bose systems
• Casimir forces between defects in one-dimensional quantum liquids
• Quench-induced breathing mode of one-dimensional Bose gases
• Three-body correlation functions and recombination rates for bosons in three and one dimensions
• Evidence of Luttinger liquid behavior in one-dimensional dipolar quantum gases
• Strongly Interacting Quantum Gases in One-Dimensional Traps
• Ground-state properties of a one-dimensional system of dipoles
• Universal contact for a Tonks-Girardeau gas at finite temperature
• Momentum-resolved observation of thermal and quantum depletion in an interacting Bose gas
• Non-local pair correlations in the 1D Bose gas at finite temperature
• Universal scaling of density and momentum distributions in Lieb-Liniger gases
• Phonon-mediated Casimir interaction between mobile impurities in one-dimensional quantum liquids
• High-momentum tails as magnetic structure probes for strongly-correlated $SU(\kappa )$ fermionic mixtures in one-dimensional traps
• Thermodynamics of Strongly Correlated One-Dimensional Bose Gases
• One-dimensional liquid ${}^4$He: dynamical properties beyond Luttinger liquid theory
• Tan's Contact for Trapped Lieb-Liniger Bosons at Finite Temperature
• Exact density profiles and symmetry classification for strongly interacting multi-component Fermi gases in tight waveguides
• Super Tonks-Girardeau state in an attractive one-dimensional dipolar gas
• Local density approximation for a perturbative equation of state
• Collective oscillations of a trapped quantum gas in low dimensions
• Reentrant behavior of the breathing-mode-oscillation frequency in a one-dimensional Bose gas
• Dynamic structure factor and drag force in a one-dimensional strongly-interacting Bose gas at finite temperature
• Thermodynamic behavior of a one-dimensional Bose gas at low temperature
• Dynamical structure factor of one-dimensional hard rods
• Low-dimensional weakly interacting Bose gases: non-universal equations of state
• Field-theoretical approach to the Casimir-like interaction in a one-dimensional Bose gas
• Luttinger liquid behavior of one-dimensional 3He
• Spatio-temporal Fermionization of Strongly Interacting 1D Bosons
• Collective modes of a one-dimensional trapped atomic Bose gas at finite temperatures
• Hydrodynamic VS collisionless dynamics of a 1D harmonically trapped Bose gas
• Collective modes of a harmonically trapped one-dimensional Bose gas: the effects of finite particle number and nonzero temperature
• Phase diagram of Rydberg atoms with repulsive van der Waals interaction
• Equations of state from individual one-dimensional Bose gases

Cited by in corpus (11)

• Thermal instability, evaporation and thermodynamics of one-dimensional liquids in weakly-interacting Bose-Bose mixtures
• Exact Results for the Boundary Energy of One-Dimensional Bosons
• Analytic thermodynamic properties of the Lieb-Liniger gas
• Correlation properties of a one-dimensional repulsive Bose gas at finite temperature
• Scaling properties of the Tan's contact: embedding pairs and correlation effect in the Tonks limit
• Thermal fading of the $1/k^4$-tail of the momentum distribution induced by the hole anomaly
• How to measure the free energy and partition function from atom-atom correlations
• Thermodynamics and Tomonaga-Luttinger liquid behavior of the quantum 1D hard rod model
• Hole-induced anomaly in the thermodynamic behavior of a one-dimensional Bose gas
• Local Properties of the Rapidity Distribution in the Lieb-Liniger Model
• Particle-hole origin of thermal beating in dipole-compression modes of a 1D Bose gas