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Noise Correlations in One-Dimensional Systems of Ultracold Fermions

2005/07/31 by Ludwig Mathey, L. Mathey, Ehud Altman +3 · 40 citations
Physics and Astronomy · #Advanced Frequency and Time Standards #Atomic and Subatomic Physics Research #Bosonization #Charge density wave #Cold Atom Physics and Bose-Einstein Condensates #Fermion #Gravitational singularity #Image (mathematics) #Momentum (technical analysis) #Noise (video) #Pairing #Physics #Quantum #Quantum mechanics #Spin (aerodynamics) #Statistical physics #Superconductivity #Trap (plumbing) #Ultracold atom #cond-mat.other #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.100.240401

published in Physical Review Letters 100(24), 240401 (American Physical Society) · 5 pages, 3 figures. Added discussion on the visibility of noise correlation features for realistic conditions

arxiv created 2007/07/07 · openalex publication_date 2008/06/17 · arxiv updated 2013/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Time of flight images reflect the momentum distribution of the atoms in the trap, but the spatial noise in the image holds information on more subtle correlations. Using bosonization, we study such correlations in generic 1D systems of ultracold fermions. We show how pairing as well as spin and charge density wave correlations may be identified and extracted from time of flight images. These incipient orders manifest themselves as power-law singularities in the noise correlations, that depend on the Luttinger parameters, which suggests a general experimental technique to obtain them.

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