Densityfunctional theory of strongly correlated Fermi gases in elongated harmonic traps
Abstract
Twocomponent Fermi gases with tunable repulsive or attractive interactions inside quasionedimensional (Q1D) harmonic wells may soon become the cleanest laboratory realizations of strongly correlated Luttiger and LutherEmery liquids under confinement. We present a microscopic KohnSham densityfunctional theory of these systems, with specific attention to a gas on the approach to a confinementinduced Feshbach resonance. The theory employs the onedimensional GaudinYang model as the reference system and transfers the appropriate Q1D groundstate correlations to the confined inhomogeneous gas via a suitable localdensity approximation to the exchange and correlation energy functional. Quantitative understanding of the role of the interactions in the bulk shell structure of the axial density profile is thereby achieved. While repulsive intercomponent interactions depress the amplitude of the shell structure of the noninteracting gas, attractive interactions stabilize atomicdensity waves through spin pairing. These should be clearly observable in atomic clouds containing of the order of up to 100 atoms.
 Authors:
 NESTCNRINFM and Scuola Normale Superiore, I56126 Pisa (Italy)
 Institute for Studies in Theoretical Physics and Mathematics, Tehran 193955531 (Iran, Islamic Republic of)
 (Italy)
 Publication Date:
 OSTI Identifier:
 20786967
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. A; Journal Volume: 73; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevA.73.033609; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 74 ATOMIC AND MOLECULAR PHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AMPLITUDES; APPROXIMATIONS; ATOMS; CONFINEMENT; DENSITY FUNCTIONAL METHOD; ELECTRON CORRELATION; FERMI GAS; FERMIONS; GROUND STATES; LIQUIDS; ONEDIMENSIONAL CALCULATIONS; RADIATION PRESSURE; RESONANCE; SPIN; TRAPS
Citation Formats
Gao Xianlong, Polini, Marco, Tosi, M. P., Asgari, Reza, and NESTCNRINFM and Scuola Normale Superiore, I56126 Pisa. Densityfunctional theory of strongly correlated Fermi gases in elongated harmonic traps. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVA.73.0.
Gao Xianlong, Polini, Marco, Tosi, M. P., Asgari, Reza, & NESTCNRINFM and Scuola Normale Superiore, I56126 Pisa. Densityfunctional theory of strongly correlated Fermi gases in elongated harmonic traps. United States. doi:10.1103/PHYSREVA.73.0.
Gao Xianlong, Polini, Marco, Tosi, M. P., Asgari, Reza, and NESTCNRINFM and Scuola Normale Superiore, I56126 Pisa. Wed .
"Densityfunctional theory of strongly correlated Fermi gases in elongated harmonic traps". United States.
doi:10.1103/PHYSREVA.73.0.
@article{osti_20786967,
title = {Densityfunctional theory of strongly correlated Fermi gases in elongated harmonic traps},
author = {Gao Xianlong and Polini, Marco and Tosi, M. P. and Asgari, Reza and NESTCNRINFM and Scuola Normale Superiore, I56126 Pisa},
abstractNote = {Twocomponent Fermi gases with tunable repulsive or attractive interactions inside quasionedimensional (Q1D) harmonic wells may soon become the cleanest laboratory realizations of strongly correlated Luttiger and LutherEmery liquids under confinement. We present a microscopic KohnSham densityfunctional theory of these systems, with specific attention to a gas on the approach to a confinementinduced Feshbach resonance. The theory employs the onedimensional GaudinYang model as the reference system and transfers the appropriate Q1D groundstate correlations to the confined inhomogeneous gas via a suitable localdensity approximation to the exchange and correlation energy functional. Quantitative understanding of the role of the interactions in the bulk shell structure of the axial density profile is thereby achieved. While repulsive intercomponent interactions depress the amplitude of the shell structure of the noninteracting gas, attractive interactions stabilize atomicdensity waves through spin pairing. These should be clearly observable in atomic clouds containing of the order of up to 100 atoms.},
doi = {10.1103/PHYSREVA.73.0},
journal = {Physical Review. A},
number = 3,
volume = 73,
place = {United States},
year = {Wed Mar 15 00:00:00 EST 2006},
month = {Wed Mar 15 00:00:00 EST 2006}
}

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