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- Exact few-body results for strongly correlated quantum gases in two dimensions
- Liu, Xia-Ji; Hu, Hui; Drummond, Peter D.
- 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
- Physical Review B: Condensed Matter and Material Physics, Vol. 82, no. 5 (Aug 2010), article no. 054524
- Publication year
- FOR Code(s)
- 01 Mathematical Sciences; 02 Physical Sciences; 09 Engineering
- Fermi gas; Monte Carlo simulations; Quantum gases
- American Physical Society
- Publisher URL
- 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
- 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