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Title: Luther-Emery Phase and Atomic-Density Waves in a Trapped Fermion Gas

Abstract

The Luther-Emery liquid is a state of matter that is predicted to occur in one-dimensional systems of interacting fermions and is characterized by a gapless charge spectrum and a gapped spin spectrum. In this Letter we discuss a realization of the Luther-Emery phase in a trapped cold-atom gas. We study by means of the density-matrix renormalization-group technique a two-component atomic Fermi gas with attractive interactions subject to parabolic trapping inside an optical lattice. We demonstrate how this system exhibits compound phases characterized by the coexistence of spin pairing and atomic-density waves. A smooth crossover occurs with increasing magnitude of the atom-atom attraction to a state in which tightly bound spin-singlet dimers occupy the center of the trap. The existence of atomic-density waves could be detected in the elastic contribution to the light-scattering diffraction pattern.

Authors:
; ; ;  [1];  [2];  [3];  [4];  [5]
  1. NEST-CNR-INFM and Scuola Normale Superiore, I-56126 Pisa (Italy)
  2. International School for Advanced Studies (SISSA), via Beirut 2-4, I-34014 Trieste (Italy)
  3. (Italy)
  4. Centro Internacional de Fisica da Materia Condensada, Universidade de Brasilia, Caixa Postal 04513, 70919-970 Brasilia (Brazil)
  5. Departamento de Fisica e Informatica, Instituto de Fisica de Sao Carlos, Universidade de Sao Paulo, Caixa Postal 369, 13560-970 Sao Carlos, Sao Paulo (Brazil)
Publication Date:
OSTI Identifier:
20861609
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 98; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevLett.98.030404; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ATOMS; DENSITY; DENSITY MATRIX; DIFFRACTION; DIMERS; FERMI GAS; FERMIONS; LIGHT SCATTERING; LIQUIDS; MATTER; ONE-DIMENSIONAL CALCULATIONS; RENORMALIZATION; SPECTRA; SPIN; TRAPPING; TRAPS

Citation Formats

Gao Xianlong, Rizzi, M., Polini, Marco, Tosi, M. P., Fazio, Rosario, NEST-CNR-INFM and Scuola Normale Superiore, I-56126 Pisa, Campo, V. L. Jr., and Capelle, K. Luther-Emery Phase and Atomic-Density Waves in a Trapped Fermion Gas. United States: N. p., 2007. Web. doi:10.1103/PHYSREVLETT.98.030404.
Gao Xianlong, Rizzi, M., Polini, Marco, Tosi, M. P., Fazio, Rosario, NEST-CNR-INFM and Scuola Normale Superiore, I-56126 Pisa, Campo, V. L. Jr., & Capelle, K. Luther-Emery Phase and Atomic-Density Waves in a Trapped Fermion Gas. United States. doi:10.1103/PHYSREVLETT.98.030404.
Gao Xianlong, Rizzi, M., Polini, Marco, Tosi, M. P., Fazio, Rosario, NEST-CNR-INFM and Scuola Normale Superiore, I-56126 Pisa, Campo, V. L. Jr., and Capelle, K. Fri . "Luther-Emery Phase and Atomic-Density Waves in a Trapped Fermion Gas". United States. doi:10.1103/PHYSREVLETT.98.030404.
@article{osti_20861609,
title = {Luther-Emery Phase and Atomic-Density Waves in a Trapped Fermion Gas},
author = {Gao Xianlong and Rizzi, M. and Polini, Marco and Tosi, M. P. and Fazio, Rosario and NEST-CNR-INFM and Scuola Normale Superiore, I-56126 Pisa and Campo, V. L. Jr. and Capelle, K.},
abstractNote = {The Luther-Emery liquid is a state of matter that is predicted to occur in one-dimensional systems of interacting fermions and is characterized by a gapless charge spectrum and a gapped spin spectrum. In this Letter we discuss a realization of the Luther-Emery phase in a trapped cold-atom gas. We study by means of the density-matrix renormalization-group technique a two-component atomic Fermi gas with attractive interactions subject to parabolic trapping inside an optical lattice. We demonstrate how this system exhibits compound phases characterized by the coexistence of spin pairing and atomic-density waves. A smooth crossover occurs with increasing magnitude of the atom-atom attraction to a state in which tightly bound spin-singlet dimers occupy the center of the trap. The existence of atomic-density waves could be detected in the elastic contribution to the light-scattering diffraction pattern.},
doi = {10.1103/PHYSREVLETT.98.030404},
journal = {Physical Review Letters},
number = 3,
volume = 98,
place = {United States},
year = {Fri Jan 19 00:00:00 EST 2007},
month = {Fri Jan 19 00:00:00 EST 2007}
}