Detecting Correlation Functions of Ultracold Atoms through Fourier Sampling of Time-of-Flight Images

2005/11/28 by L. -M. Duan, L-M Duan · 4 citations
Physics and Astronomy · #Advanced Frequency and Time Standards #Atomic and Subatomic Physics Research #Atomic physics #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Fourier analysis #Fourier transform #Optics #Particle (ecology) #Phase (matter) #Phase correlation #Physics #Quantum #Quantum entanglement #Quantum mechanics #Raman spectroscopy #Sampling (signal processing) #Short-time Fourier transform #Superfluidity #Time of flight #Ultracold atom #cond-mat.other #quant-ph

paper · pdf · doi:10.1103/physrevlett.96.103201

published as Phys. Rev. Lett. 96, 103201 (2006). · 4 pages, 2 figures

arxiv created 2005/11/28 · openalex publication_date 2006/03/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We propose a detection method for ultracold atoms which allows reconstruction of the full one-particle and two-particle correlation functions from the measurements. The method is based on Fourier sampling of the time-of-flight images through two consecutive impulsive Raman pulses. For applications of this method, we discuss a few examples, including detection of phase separation between superfluid and Mott insulators, various types of spin or superfluid orders, entanglement, exotic or fluctuating orders.

Citations

• High-Temperature Superfluidity of Fermionic Atoms in Optical Lattices
• Observation of resonance condensation of fermionic atom pairs
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Atomic Quantum Gases in Kagomé Lattices
• Vortices and superfluidity in a strongly interacting Fermi gas
• Probing many-body states of ultracold atoms via noise correlations
• Mach-Zehnder Bragg interferometer for a Bose-Einstein condensate
• Direct Observation of Sub-Poissonian Number Statistics in a Degenerate Bose Gas
• Spatial quantum noise interferometry in expanding ultracold atom clouds
• Resonance Superfluidity in a Quantum Degenerate Fermi Gas

Cited by

• Probingn-spin correlations in optical lattices
• Symplectic tomography of ultracold gases in tight waveguides
• Exact Exponents of Edge Singularities in Dynamic Correlation Functions of 1D Bose Gas
• Universal Theory of Nonlinear Luttinger Liquids