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Title

Exact few-body results for strongly correlated quantum gases in two dimensions

Author(s)

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

Abstract

The study of strongly correlated quantum gases in two dimensions has important ramifications for understanding many intriguing phenomena in solid materials, such as high-Tc superconductivity and the fractional quantum-Hall effect. However, theoretical methods are plagued by the existence of significant quantum fluctuations. Here, we present two- and three-body exact solutions for both fermions and bosons trapped in a two-dimensional harmonic potential with an arbitrary s-wave scattering length. These few-particle solutions link in a natural way to the high-temperature properties of many-particle systems via a quantum virial expansion. As a concrete example, using the energy spectrum of few fermions, we calculate the second and third virial coefficients of a strongly interacting Fermi gas in two dimensions, and consequently investigate its high-temperature thermodynamics. Our thermodynamic results may be useful for ongoing experiments on two-dimensional Fermi gases. These exact results also provide an unbiased benchmark for quantum Monte Carlo simulations of two-dimensional Fermi gases at high temperatures.

Publication type

Journal article

Research centre

Swinburne University of Technology. Faculty of Engineering and Industrial Sciences. Centre for Atom Optics and Ultrafast Spectroscopy. ARC Centre of Excellence for Quantum-Atom Optics

Source

Physical Review B: Condensed Matter and Material Physics, Vol. 82, no. 5 (Aug 2010), article no. 054524

Publication year

2010

FOR Code(s)

01 Mathematical Sciences;  02 Physical Sciences;  09 Engineering

Keyword(s)

Fermi gas;  Monte Carlo simulations;  Quantum gases

Publisher

American Physical Society

ISSN

1098-0121

Publisher URL

http://dx.doi.org/10.1103/PhysRevB.82.054524

Copyright

Copyright © 2010 The American Physical Society. Published version of the paper reproduced here with the kind permission of the publisher for noncommercial use only.

Research Projects

Ultracold atomic Fermi gases in the strongly interacting regime: a new frontier of quantum many-body physics, Australian Research Council grant number DP0984522
Imbalanced superfluidity: the quantum mystery that defies solution, Australian Research Project grant number DP0984637

Additional information

This article was highlighted by the American Physical Society's series 'Physics: spotlighting exceptional research'. See: http://dx.doi.org/10.1103/Physics.3.74.

Full text

Peer reviewed