Adiabatic path to fractional quantum Hall states of a few bosonic atoms

M. Popp, B. Paredes, and J. I. Cirac
Phys. Rev. A 70, 053612 – Published 17 November 2004

Abstract

We propose a realistic scheme to create motionally entangled states of a few bosonic atoms. It can experimentally be realized with a gas of ultracold bosonic atoms trapped in a deep optical lattice potential. By simultaneously deforming and rotating the trapping potential on each lattice site it is feasible to adiabatically create a variety of entangled states on each lattice well. We fully address the case of N=2 and 4 atoms per well and identify a sequence of fractional quantum Hall states: the Pfaffian state, the 12-Laughlin quasiparticle, and the 12-Laughlin state. Exact knowledge of the spectrum has allowed us to design adiabatic paths to these states, with all times and parameters well within the reach of current experimental setups. We further discuss the detection of these states by measuring different properties as their density profile, angular momentum, or correlation functions.

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  • Received 10 May 2004

DOI:https://doi.org/10.1103/PhysRevA.70.053612

©2004 American Physical Society

Authors & Affiliations

M. Popp, B. Paredes, and J. I. Cirac

  • Max-Planck Institute for Quantum Optics, Garching, Germany

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Issue

Vol. 70, Iss. 5 — November 2004

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