Supersolid fermions inside harmonic traps

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

doi:10.1007/978-3-540-88303-6-7

Supersolid fermions inside harmonic traps

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

Physics

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English (US)
Title of host publication	High Performance Computing in Science and Engineering 2008 - Transactions of the High Performance Computing Center Stuttgart, HLRS 2008
Pages	83-92
Number of pages	10
DOIs	https://doi.org/10.1007/978-3-540-88303-6-7
State	Published - Dec 1 2009
Event	11th Results and Review Workshop on High Performance Computing in Science and Engineering, HLRS 2008 - Stuttgart, Germany Duration: Sep 29 2008 → Sep 30 2008

Publication series

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

Other

Other	11th Results and Review Workshop on High Performance Computing in Science and Engineering, HLRS 2008
Country/Territory	Germany
City	Stuttgart
Period	9/29/08 → 9/30/08

All Science Journal Classification (ASJC) codes

Software

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10.1007/978-3-540-88303-6-7

Cite this

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

Pour, F. Karim ; Rigol, M. ; Wessel, S. et al. / Supersolid fermions inside harmonic traps. High Performance Computing in Science and Engineering 2008 - Transactions of the High Performance Computing Center Stuttgart, HLRS 2008. 2009. pp. 83-92 (High Performance Computing in Science and Engineering 2008 - Transactions of the High Performance Computing Center Stuttgart, HLRS 2008).

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title = "Supersolid fermions inside harmonic traps",

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.",

author = "Pour, {F. Karim} and M. Rigol and S. Wessel and A. Muramatsu",

year = "2009",

month = dec,

day = "1",

doi = "10.1007/978-3-540-88303-6-7",

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

pages = "83--92",

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

note = "11th Results and Review Workshop on High Performance Computing in Science and Engineering, HLRS 2008 ; Conference date: 29-09-2008 Through 30-09-2008",

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Pour, FK, 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. High Performance Computing in Science and Engineering 2008 - Transactions of the High Performance Computing Center Stuttgart, HLRS 2008, pp. 83-92, 11th Results and Review Workshop on High Performance Computing in Science and Engineering, HLRS 2008, Stuttgart, Germany, 9/29/08. https://doi.org/10.1007/978-3-540-88303-6-7

Supersolid fermions inside harmonic traps. / Pour, F. Karim; Rigol, M.; Wessel, S. et al.
High Performance Computing in Science and Engineering 2008 - Transactions of the High Performance Computing Center Stuttgart, HLRS 2008. 2009. p. 83-92 (High Performance Computing in Science and Engineering 2008 - Transactions of the High Performance Computing Center Stuttgart, HLRS 2008).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Supersolid fermions inside harmonic traps

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AU - Rigol, M.

AU - Wessel, S.

AU - Muramatsu, A.

PY - 2009/12/1

Y1 - 2009/12/1

N2 - 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.

AB - 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.

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DO - 10.1007/978-3-540-88303-6-7

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T3 - High Performance Computing in Science and Engineering 2008 - Transactions of the High Performance Computing Center Stuttgart, HLRS 2008

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

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

Supersolid fermions inside harmonic traps

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