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Momentum-resolved study of an array of one-dimensional strongly phase-fluctuating Bose gases

N. Fabbri, D. Clément, L. Fallani, C. Fort, and M. Inguscio
Phys. Rev. A 83, 031604(R) – Published 8 March 2011
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Abstract

We investigate the coherence properties of an array of one-dimensional Bose gases with short-scale phase fluctuations. The momentum distribution is measured using Bragg spectroscopy, and an effective coherence length of the whole ensemble is defined. In addition, we propose and demonstrate that time-of-flight absorption imaging can be used as a simple probe to directly measure the coherence length of one-dimensional gases in the regime where phase fluctuations are strong. This method is suitable for future studies such as investigating the effect of disorder on the phase coherence.

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  • Received 17 September 2010

DOI:https://doi.org/10.1103/PhysRevA.83.031604

©2011 American Physical Society

Authors & Affiliations

N. Fabbri1,*, D. Clément1,†, L. Fallani1, C. Fort1,2, and M. Inguscio1

  • 1European Laboratory for Non linear Spectroscopy (LENS) and Dipartimento di Fisica e Astronomia, Università di Firenze, and Istituto Nazionale di Ottica (INO-CNR), Sezione Sesto Fiorentino, via N. Carrara 1, I-50019 Sesto Fiorentino, Italy
  • 2Consorzio Nazionale Interuniversitario per le Scienze Fisiche della Materia UdR di Firenze, Via Sansone 1, I-50019 Sesto Fiorentino, Italy

  • *fabbri@lens.unifi.it
  • †Present address: Laboratoire Charles Fabry, Institut d’Optique, Campus Polytechnique RD128, F-91127 Palaiseau, France.

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Vol. 83, Iss. 3 — March 2011

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  • Figure 1
    Figure 1
    (a) Schematic view of the two-dimensional array of one-dimensional gases. (b) Bragg spectrum of an array of strongly correlated 1D gases produced by lattices with amplitude s=50. Red curve is a fitting of the function νf(ν), where f(ν) is a Lorentzian. (c) HWHM of the Bragg resonances as a function of the amplitude s of the lattices for two different values of transferred momentum: blue squares, q1=16.0(2) μm−1; black circles, q2=7.3(2) μm−1.Reuse & Permissions
  • Figure 2
    Figure 2
    Lϕ of the array of 1D gases reported as a function of the amplitude s of the lattices, which squeezes the gas in 1D microtubes, and for two different values of the momentum of the excitation: blue squares, q1; black circles, q2.Reuse & Permissions
  • Figure 3
    Figure 3
    Mean-square value of residuals of a Lorentzian (open circles) and Gaussian function (solid circles) fitted to the momentum distribution mapped through TOF.Reuse & Permissions
  • Figure 4
    Figure 4
    (a) Momentum distribution of an array of 1D gases in a strongly confining optical lattice (s=50) measured through Bragg spectroscopy (black circles) and direct mapping in TOF density profile (red curve). (b) Half coherence length Lϕ extracted from TOF measurements shown as a function of s in linear scale. The gray area points out the region of parameters where TOF measurements cannot be used to extract Lϕ. Inset shows a comparison between Lϕ from Bragg measurements (open circles) and direct mapping (red circles).Reuse & Permissions
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