Dynamic correlation functions in one-dimensional quasi-condensates

Abstract

We calculate the static and dynamic single-particle correlation functions in one-dimensional (1D) trapped Bose gases and discuss experimental measurements that can directly probe such correlation functions. Using a quantized hydrodynamic theory for the low energy excitations, we calculate both the static and dynamic single-particle correlation functions for a 1D Bose gas that is a phase-fluctuating quasi-condensate. For the static (equal-time) correlation function, our approximations and results are equivalent to those of Petrov, Shlyapnikov and Walraven. The Fourier transform of the static single-particle correlation function gives the momentum distribution, which can be measured using Doppler-sensitive Bragg scattering experiments on a highly elongated Bose gas. We show how a two-photon Raman out-coupling experiment can measure the characteristic features of the dynamic or time-dependent single-particle correlation function of a 1D Bose quasi-condensate.

19 pages, 4 figures; submitted to Phys. Rev. A

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• Realization of Bose-Einstein condensates in lower dimensions
• The Excitation Spectrum of a Bose-Einstein Condensate
• Observation of Phase Fluctuations in Bose-Einstein Condensates
• Collective oscillations of a 1D trapped Bose gas
• Stability and phase coherence of trapped 1D Bose gases
• Phase-fluctuating 3D condensates in elongated traps
• Low-dimensional Bose gases
• Experimental observation of the Bogoliubov transformation for a Bose-Einstein condensed gas
• Low-Energy Properties of a One-dimensional System of Interacting bosons with Boundaries
• Coherent Tunneling of Atoms from Bose-condensed Gases at Finite Temperatures
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Cited by in corpus (26)

• Bosonizing one-dimensional cold atomic gases
• Nonlinear Waves in Bose-Einstein Condensates: Physical Relevance and Mathematical Techniques
• Momentum spectroscopy of 1D phase fluctuations in Bose-Einstein condensates
• Dynamical density-density correlations in the one-dimensional Bose gas
• One-particle dynamical correlations in the one-dimensional Bose gas
• Measurement of the Spatial Correlation Function of Phase Fluctuating Bose-Einstein Condensates
• Quasi-1D Bose-Einstein condensates in the dimensional crossover regime
• Decoherence Dynamics in Low-Dimensional Cold Atom Interferometers
• Ground-state properties of one-dimensional ultracold Bose gases in a hard-wall trap
• Momentum distribution and correlation function of quasicondensates in elongated traps
• A comparison between microscopic methods for finite temperature Bose gases
• Quasi-condensate growth on an atom chip
• Analogue Cosmological Particle Creation: Quantum Correlations in Expanding Bose Einstein Condensates
• Second Order Correlation Function of a Phase Fluctuating Bose-Einstein Condensate
• Destruction of interference by many-body interactions in cold atomic Bose gases
• Spatial Correlation Functions of one-dimensional Bose gases at Equilibrium
• Finite-temperature correlations in the one-dimensional trapped and untrapped Bose gases
• Phase coherence in quasicondensate experiments: an ab initio analysis via the stochastic Gross-Pitaevskii equation
• Density distributions for trapped one-dimensional spinor gases
• Stochastic Simulation of a finite-temperature one-dimensional Bose-Gas: from Bogoliubov to Tonks-Girardeau regime
• Interplay of Density and Phase Fluctuations in Ultracold One-dimensional Bose Gases
• Anisotropic superfluidity of two-dimensional excitons in a periodic potential
• Density-density correlation and interference mechanism for two initially independent Bose-Einstein condensates
• Tomography of correlation functions for ultracold atoms via time-of-flight images
• The Functional Integration and the Two-Point Correlation Function of the One-Dimensional Bose Gas in the Harmonic Potential
• Temporal correlations of elongated Bose gases at finite temperature