Thermodynamics of Strongly Correlated One-Dimensional Bose Gases

Abstract

We investigate the thermodynamics of one-dimensional Bose gases in the strongly correlated regime. To this end, we prepare ensembles of independent 1D Bose gases in a two-dimensional optical lattice and perform high-resolution in situ imaging of the column-integrated density distribution. Using an inverse Abel transformation we derive effective one-dimensional line-density profiles and compare them to exact theoretical models. The high resolution allows for a direct thermometry of the trapped ensembles. The knowledge about the temperature enables us to extract thermodynamic equations of state such as the phase-space density, the entropy per particle and the local pair correlation function.

4 pages, 5 figures

References in corpus (20)

• Many-Body Physics with Ultracold Gases
• The density-matrix renormalization group
• Correlated Electrons in High Temperature Superconductors
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Light-cone-like spreading of correlations in a quantum many-body system
• Matter-wave interferometry in a double well on an atom chip
• Revealing the Superfluid Lambda Transition in the Universal Thermodynamics of a Unitary Fermi Gas
• Exploring the Thermodynamics of a Universal Fermi Gas
• Realization of an Excited, Strongly-Correlated Quantum Gas Phase
• Yang-Yang thermodynamics on an atom chip
• Observations of density fluctuations in an elongated Bose gas: ideal gas and quasi-condensate regimes
• 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
• Exploring the thermodynamics of a two-dimensional Bose gas
• Dynamics and Thermodynamics of the Low-Temperature Strongly Interacting Bose Gas
• Finite temperature correlations and density profiles of an inhomogeneous interacting 1D Bose gas
• Yang-Yang thermometry and momentum distribution of a trapped one-dimensional Bose gas
• Observation of local temporal correlations in trapped quantum gases
• Spatio-temporal Fermionization of Strongly Interacting 1D Bosons
• Universal local pair correlations of Lieb-Liniger bosons at quantum criticality

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• Hydrodynamics of the interacting Bose gas in the Quantum Newton Cradle setup
• Single atom detection in ultracold quantum gases: a review of current progress
• Quench-induced breathing mode of one-dimensional Bose gases
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Conformal field theory on top of a breathing one-dimensional gas of hard core bosons
• Ground-state energy and excitation spectrum of the Lieb-Liniger model : accurate analytical results and conjectures about the exact solution
• Cross-dimensional phase transition from an array of 1D Luttinger liquids to a 3D Bose-Einstein condensate
• Thermodynamic behavior of a one-dimensional Bose gas at low temperature
• A coordinate Bethe ansatz approach to the calculation of equilibrium and nonequilibrium correlations of the one-dimensional Bose gas
• Quantum Gas Microscopy of Fermions in the Continuum
• Collective modes of a one-dimensional trapped atomic Bose gas at finite temperatures
• Non-equilibrium Floquet steady states of time-periodic driven Luttinger liquids
• Beyond-Luttinger-Liquid thermodynamics of a one-dimensional contact repulsive Bose gas
• Repulsive to attractive interaction quenches of 1D Bose gas in a harmonic trap
• Probing the local rapidity distribution of a 1D Bose gas
• Thermometry of cold atoms in optical lattices via artificial gauge fields
• Modulated trapping of interacting bosons in one dimension
• Analytic thermodynamic properties of the Lieb-Liniger gas
• Equations of state from individual one-dimensional Bose gases
• Critical phenomena in one dimension from a Bethe ansatz perspective
• Quantum quench dynamics of the attractive one-dimensional Bose gas via the coordinate Bethe ansatz
• Correlation properties of a one-dimensional repulsive Bose gas at finite temperature
• Generalized-Hydrodynamic approach to Inhomogeneous Quenches: Correlations, Entanglement and Quantum Effects
• Evidences for interaction-induced Haldane fractional exclusion statistics in one and higher dimensions
• Thermodynamics of a one-dimensional system of point bosons: comparison of the traditional approach with a new one
• Excitations at the border of a condensate
• The properties of Tonk-Girardeau Gas at Finite Temperature and Comparison with Polarized Free Fermions
• Cumulants of conserved charges in GGE and cumulants of total transport in GHD: exact summation of matrix elements?
• Professor Chen Ping Yang's early significant contributions to mathematical physics
• Nonlocal pair correlations in Lieb-Liniger gases: A unified nonperturbative approach from weak degeneracy to high temperatures
• Local Properties of the Rapidity Distribution in the Lieb-Liniger Model
• Quasi-integrability and nonlinear resonances in cold atoms under modulation