Density fluctuations of a hard-core Bose gas in a one-dimensional lattice

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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4 pages, 4 figures, submitted to Phys. Rev. Lett

Scientific paper

10.1103/PhysRevA.71.061601

For a hard-core Bose gas on a one-dimensional lattice we find characteristic oscillations in the density-density correlation function. Their wavelength diverges as the system undergoes a continuous transition from an incommensurate to a Mott insulating phase. The associated static structure factor vanishes as the Mott insulating phase is approached. The qualitative picture is unchanged when a weak confinig potential is applied to the system.

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