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Title

Signature of Mott-insulator transition with ultracold fermions in a one-dimensional optical lattice

Author(s)

Liu, Xia-Ji;  Drummond, P. D.;  Hu, Hui

Abstract

Using the exact Bethe ansatz solution of the Hubbard model and Luttinger liquid theory, we investigate the density profiles and collective modes of one-dimensional ultracold fermions confined in an optical lattice with a harmonic trapping potential. We determine a generic phase diagram in terms of a characteristic filling factor and a dimensionless coupling constant. The collective oscillations of the atomic mass density, a technique that is commonly used in experiments, provide a signature of the quantum phase transition from the metallic phase to the Mott-insulator phase. A detailed experimental implementation is proposed.

Publication type

Journal article

Source

Physical Review Letters, Vol. 94, no. 13 (2005), article no. 136406

Publication year

2005

FOR Code(s)

02 Physical Sciences

Keyword(s)

Bethe ansatz solution;  Luttinger liquid theory;  Ultracold fermions

Publisher

American Physical Society

ISSN

0031-9007

Publisher URL

http://dx.doi.org/10.1103/PhysRevLett.94.136406

Copyright

Copyright © 2005 The American Physical Society. Published version of this paper reproduced here in accordance with the copyright policy of the publisher.

Full text

Peer reviewed