Quantum Monte Carlo study of confined fermions in one-dimensional optical lattices

Marcos Rigol; Alejandro Muramatsu

doi:10.1103/PhysRevA.69.053612

Quantum Monte Carlo study of confined fermions in one-dimensional optical lattices

Marcos Rigol, Alejandro Muramatsu

Physics

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84 Scopus citations

Abstract

The ground state properties of the one-dimensional fermionic Hubbard model in traps with an underlying lattice were investigated using quantum Monte Carlo (QMC) simulations. It was observed that due to the confining potential the density was space dependent, and Mott-insulating domains always coexist with metallic regions. A local compressibility was defined which characterized the Mott-insulating regions and analyzed other local quantities. A generic form for the phase diagram was developed which allows to compare systems with different values of all the parameter involved in the model.

Original language	English (US)
Article number	053612
Pages (from-to)	053612-1-053612-13
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	69
Issue number	5 B
DOIs	https://doi.org/10.1103/PhysRevA.69.053612
State	Published - May 2004

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics

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10.1103/PhysRevA.69.053612

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title = "Quantum Monte Carlo study of confined fermions in one-dimensional optical lattices",

abstract = "The ground state properties of the one-dimensional fermionic Hubbard model in traps with an underlying lattice were investigated using quantum Monte Carlo (QMC) simulations. It was observed that due to the confining potential the density was space dependent, and Mott-insulating domains always coexist with metallic regions. A local compressibility was defined which characterized the Mott-insulating regions and analyzed other local quantities. A generic form for the phase diagram was developed which allows to compare systems with different values of all the parameter involved in the model.",

author = "Marcos Rigol and Alejandro Muramatsu",

note = "Funding Information: PLRAAN 1050-2947 10.1103/PhysRevA.55.4346 55 , 4346 ( 1997 ). We gratefully acknowledge financial support from the LFSP Nanomaterialien. We are grateful to G. G. Batrouni and R. T. Scalettar for interesting discussions at the early stages of the project. We are grateful to F. F. Assaad for valuable discussions about the MF approach we used here and also for providing us the core of the code we employed in our MF calculations. We thank R. Noack and G. Modugno for useful comments on the manuscript, and M. Feldbacher and T. Pfau for useful conversations. We thank HLR-Stuttgart (Project DynMet) for allocation of computer time, the calculations were carried out on the HITACHI SR8000 . ",

year = "2004",

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doi = "10.1103/PhysRevA.69.053612",

language = "English (US)",

volume = "69",

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journal = "Physical Review A - Atomic, Molecular, and Optical Physics",

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AU - Muramatsu, Alejandro

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AB - The ground state properties of the one-dimensional fermionic Hubbard model in traps with an underlying lattice were investigated using quantum Monte Carlo (QMC) simulations. It was observed that due to the confining potential the density was space dependent, and Mott-insulating domains always coexist with metallic regions. A local compressibility was defined which characterized the Mott-insulating regions and analyzed other local quantities. A generic form for the phase diagram was developed which allows to compare systems with different values of all the parameter involved in the model.

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Quantum Monte Carlo study of confined fermions in one-dimensional optical lattices

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