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Title: Pfaffian-like ground state for three-body hard-core bosons in one-dimensional lattices

Abstract

We propose a Pfaffian-like ansatz for the ground state of bosons subject to three-body infinite repulsive interactions in a one-dimensional (1D) lattice. Our ansatz consists of symmetrization over all possible ways of distributing the particles in two identical Tonks-Girardeau gases. We support the quality of our ansatz with numerical calculations and propose an experimental scheme based on mixtures of bosonic atoms and molecules in 1D optical lattices in which this Pfaffian-like state could be realized. Our findings may open the way for the creation of non-Abelian anyons in 1D systems.

Authors:
 [1];  [2]; ;  [3]
  1. Institut fuer Physik, Johannes Gutenberg-Universitaet, Staudingerweg 7, D-55099 Mainz (Germany)
  2. (Germany)
  3. Max-Planck Institut fuer Quantenoptik, Hans-Kopfermann Strasse 1, Garching, D-85748 (Germany)
Publication Date:
OSTI Identifier:
20982571
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.75.053611; (c) 2007 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; ANYONS; ATOMS; BOSONS; GASES; GROUND STATES; INTERACTIONS; MOLECULES; NUMERICAL SOLUTION; ONE-DIMENSIONAL CALCULATIONS; THREE-BODY PROBLEM

Citation Formats

Paredes, B., Max-Planck Institut fuer Quantenoptik, Hans-Kopfermann Strasse 1, Garching, D-85748, Keilmann, T., and Cirac, J. I. Pfaffian-like ground state for three-body hard-core bosons in one-dimensional lattices. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.75.053611.
Paredes, B., Max-Planck Institut fuer Quantenoptik, Hans-Kopfermann Strasse 1, Garching, D-85748, Keilmann, T., & Cirac, J. I. Pfaffian-like ground state for three-body hard-core bosons in one-dimensional lattices. United States. doi:10.1103/PHYSREVA.75.053611.
Paredes, B., Max-Planck Institut fuer Quantenoptik, Hans-Kopfermann Strasse 1, Garching, D-85748, Keilmann, T., and Cirac, J. I. Tue . "Pfaffian-like ground state for three-body hard-core bosons in one-dimensional lattices". United States. doi:10.1103/PHYSREVA.75.053611.
@article{osti_20982571,
title = {Pfaffian-like ground state for three-body hard-core bosons in one-dimensional lattices},
author = {Paredes, B. and Max-Planck Institut fuer Quantenoptik, Hans-Kopfermann Strasse 1, Garching, D-85748 and Keilmann, T. and Cirac, J. I.},
abstractNote = {We propose a Pfaffian-like ansatz for the ground state of bosons subject to three-body infinite repulsive interactions in a one-dimensional (1D) lattice. Our ansatz consists of symmetrization over all possible ways of distributing the particles in two identical Tonks-Girardeau gases. We support the quality of our ansatz with numerical calculations and propose an experimental scheme based on mixtures of bosonic atoms and molecules in 1D optical lattices in which this Pfaffian-like state could be realized. Our findings may open the way for the creation of non-Abelian anyons in 1D systems.},
doi = {10.1103/PHYSREVA.75.053611},
journal = {Physical Review. A},
number = 5,
volume = 75,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}