Yang-Yang thermometry and momentum distribution of a trapped one-dimensional Bose gas

Abstract

We describe the use of the exact Yang-Yang solutions for the one-dimensional Bose gas to enable accurate kinetic-energy thermometry based on the root-mean-square width of an experimentally measured momentum distribution. Furthermore, we use the stochastic projected Gross-Pitaevskii theory to provide the first quantitative description of the full momentum distribution measurements of Van Amerongen et al., Phys. Rev. Lett. 100, 090402 (2008). We find the fitted temperatures from the stochastic projected Gross-Pitaevskii approach are in excellent agreement with those determined by Yang-Yang kinetic-energy thermometry.

arXiv comment5 pages, 3 figures. v2: Updated to published version

References in corpus (30)

• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• Energetics of a strongly correlated Fermi gas
• Exploring the Thermodynamics of a Universal Fermi Gas
• Spontaneous vortices in the formation of Bose-Einstein condensates
• Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
• Bosonizing one-dimensional cold atomic gases
• Extension of Bogoliubov theory to quasi-condensates
• Exact Relations for a Strongly-interacting Fermi Gas from the Operator Product Expansion
• Observation of scale invariance and universality in two-dimensional Bose gases
• 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
• Short-Distance Correlation Properties of the Lieb-Liniger System and Momentum Distributions of Trapped One-Dimensional Atomic Gases
• Universal behavior of pair correlations in a strongly interacting Fermi gas
• Universal Properties of the Ultra-Cold Fermi Gas
• The stochastic Gross-Pitaevskii equation II
• Finite temperature correlations and density profiles of an inhomogeneous interacting 1D Bose gas
• Probing three-body correlations in a quantum gas using the measurement of the third moment of density fluctuations
• Observation of the Presuperfluid Regime in a Two-Dimensional Bose Gas
• High-momentum tail in the Tonks gas under harmonic confinement
• The Projected Gross-Pitaevskii Equation for harmonically confined Bose gases
• The equilibrium state of a trapped two-dimensional Bose gas
• Momentum distribution and correlation function of quasicondensates in elongated traps
• Canonical Bose gas simulations with stochastic gauges
• Exact Results for Three-Body Correlations in a Degenerate One-Dimensional Bose Gas
• A comparison between microscopic methods for finite temperature Bose gases
• Experimental evidence for the breakdown of a Hartree-Fock approach in a weakly interacting Bose gas
• Momentum distribution for a one-dimensional trapped gas of hard-core bosons
• Theoretical tools for atom laser beam propagation
• Quantitative study of quasi-one-dimensional Bose gas experiments via the stochastic Gross-Pitaevskii equation

Cited by in corpus (42)

• Solution for an interaction quench in the Lieb-Liniger Bose gas
• Observation of universal dynamics in an isolated one-dimensional Bose gas far from equilibrium
• Time dependent impurity in ultracold fermions: orthogonality catastrophe and beyond
• Relaxation to a Phase-locked Equilibrium State in a One-dimensional Bosonic Josephson Junction
• Generalized Hydrodynamics in the 1D Bose gas: theory and experiments
• Extension of the Generalized Hydrodynamics to the Dimensional Crossover Regime
• Local correlations in the 1D Bose gas from a scaling limit of the XXZ chain
• Sudden Expansion of a One-Dimensional Bose Gas from Power-Law Traps
• The stochastic projected Gross-Pitaevskii equation
• Thermodynamics of Strongly Correlated One-Dimensional Bose Gases
• Momentum distribution of 1D Bose gases at the quasi-condensation crossover: theoretical and experimental investigation
• Momentum-space correlations of a one-dimensional Bose gas
• The Inhomogeneous Gaussian Free Field, with application to ground state correlations of trapped 1d Bose gases
• Two-body momentum correlations in a weakly interacting one-dimensional Bose gas
• One-particle density matrix of trapped one-dimensional impenetrable bosons from conformal invariance
• Finite-temperature hydrodynamics for one-dimensional Bose gases: Breathing mode oscillations as a case study
• Simulating cosmological supercooling with a cold atom system
• Stochastic Projected Gross-Pitaevskii equation for spinor and multi-component condensates
• Quench action and large deviations: work statistics in the one-dimensional Bose gas
• Numerical method for the stochastic projected Gross-Pitaevskii equation
• Squeezing and robustness of frictionless cooling strategies
• Low-Dimensional Stochastic Projected Gross-Pitaevskii Equation
• Collective modes of a one-dimensional trapped atomic Bose gas at finite temperatures
• Collective modes of a harmonically trapped one-dimensional Bose gas: the effects of finite particle number and nonzero temperature
• Phase coherence in quasicondensate experiments: an ab initio analysis via the stochastic Gross-Pitaevskii equation
• Superflow decay in a toroidal Bose gas: The effect of quantum and thermal fluctuations
• Strongly Correlated Quantum Gas Prepared by Direct Laser Cooling
• Repulsive to attractive interaction quenches of 1D Bose gas in a harmonic trap
• Cross-over to quasi-condensation: mean-field theories and beyond
• Modulated trapping of interacting bosons in one dimension
• Correlation properties of a one-dimensional repulsive Bose gas at finite temperature
• Condensation and quasicondensation in an elongated three-dimensional Bose gas
• One-particle density matrix and momentum distribution of the out-of-equilibrium 1D Tonks-Girardeau gas: Analytical results at large $N$
• Spin-incoherent Luttinger liquid of one-dimensional spin-1 Tonks-Girardeau Bose gas: Spin-dependent properties
• Benchmarks of Generalized Hydrodynamics for 1D Bose Gases
• Spin-incoherent one-dimensional spin-1 Bose Luttinger liquid
• A Non-Equilibrium Kinetic Theory for Trapped Binary Condensates
• Observation of Light-Induced Dipole-Dipole Forces in Ultracold Atomic Gases
• Bose-Einstein condensation in a one-dimensional system of interacting bosons
• Identifying diffusive length scales in one-dimensional Bose gases
• Stochastic Gross-Pitaevskii theory for a spin-1 Bose gas: Application to superfluidity in two dimensions
• Quantum Gates Between Distant Qubits via Spin-Independent Scattering