Even-odd correlation functions on an optical lattice

Journal Article · Thu Jul 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.013644· OSTI ID:21442993

Kapit, Eliot; Mueller, Erich ^[1]

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1. Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York (United States)

We study how different many-body states appear in a quantum-gas microscope, such as the one developed at Harvard [Bakr et al., Nature 462, 74 (2009)], where the site-resolved parity of the atom number is imaged. We calculate the spatial correlations of the microscope images, corresponding to the correlation function of the parity of the number of atoms at each site. We produce analytic results for a number of well-known models: noninteracting bosons, the large-U Bose-Hubbard model, and noninteracting fermions. We find that these parity correlations tend to be less strong than density-density correlations, but they carry similar information.

• OSTI ID: 21442993
• Journal Information: Physical Review. A, Vol. 82, Issue 1; Other Information: DOI: 10.1103/PhysRevA.82.013644; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ATOMS
BOSE-EINSTEIN GAS
BOSONS
CORRELATION FUNCTIONS
CORRELATIONS
DENSITY
FERMIONS
HUBBARD MODEL
MANY-BODY PROBLEM
PARITY
CRYSTAL MODELS
FUNCTIONS
MATHEMATICAL MODELS
PARTICLE PROPERTIES
PHYSICAL PROPERTIES