Supersolid fermions inside harmonic traps

F. Karim Pour, M. Rigol, S. Wessel, A. Muramatsu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We use quantum Monte Carlo simulations to study the properties of ultra-cold fermionic atoms on optical lattices when confined in one-dimensional harmonic trapping potentials. In particular, we analyze the case of attractive interactions by considering the attractive fermionic Hubbard model. We find that in the trapped case, the density-density and pairing correlations are characterized by the anomalous dimension of a corresponding periodic system. The fluctuations corresponding to these quantum critical behavior render the SU(2) symmetry breaking by the trapping potential irrelevant, and the system can establish a supersolid phase also inside a confined geometry.

Original languageEnglish (US)
Title of host publicationHigh Performance Computing in Science and Engineering 2008 - Transactions of the High Performance Computing Center Stuttgart, HLRS 2008
Pages83-92
Number of pages10
DOIs
StatePublished - Dec 1 2009
Event11th Results and Review Workshop on High Performance Computing in Science and Engineering, HLRS 2008 - Stuttgart, Germany
Duration: Sep 29 2008Sep 30 2008

Publication series

NameHigh Performance Computing in Science and Engineering 2008 - Transactions of the High Performance Computing Center Stuttgart, HLRS 2008

Other

Other11th Results and Review Workshop on High Performance Computing in Science and Engineering, HLRS 2008
CountryGermany
CityStuttgart
Period9/29/089/30/08

All Science Journal Classification (ASJC) codes

  • Software

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    Pour, F. K., Rigol, M., Wessel, S., & Muramatsu, A. (2009). Supersolid fermions inside harmonic traps. In High Performance Computing in Science and Engineering 2008 - Transactions of the High Performance Computing Center Stuttgart, HLRS 2008 (pp. 83-92). (High Performance Computing in Science and Engineering 2008 - Transactions of the High Performance Computing Center Stuttgart, HLRS 2008). https://doi.org/10.1007/978-3-540-88303-6-7