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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 26 — Dec. 21, 2009
  • pp: 24358–24370

Adiabatically induced coherent Josephson oscillations of ultracold atoms in an asymmetric two-dimensional magnetic lattice

A. Abdelrahman, P. Hannaford, and K. Alameh  »View Author Affiliations

Optics Express, Vol. 17, Issue 26, pp. 24358-24370 (2009)

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We propose a new method to create an asymmetric two-dimensional magnetic lattice which exhibits magnetic band gap structure similar to semiconductor devices. The quantum device is assumed to host bound states of collective excitations formed in a magnetically trapped quantum degenerate gas of ultracold atoms such as a Bose-Einstein condensate (BEC) or a degenerate Fermi gas. A theoretical framework is established to describe possible realization of the exciton-Mott to discharging Josephson states oscillations in which the adiabatically controlled oscillations induce ac and dc Josephson atomic currents where this effect can be used to transfer n Josephson qubits across the asymmetric two-dimensional magnetic lattice. We consider second-quantized Hamiltonians to describe the Mott insulator state and the coherence of multiple tunneling between adjacent magnetic lattice sites where we derive the self consistent non-linear Schrödinger equation with a proper field operator to describe the exciton Mott quantum phase transition via the induced Josephson atomic current across the n magnetic bands.

© 2009 Optical Society of America

OCIS Codes
(020.1475) Atomic and molecular physics : Bose-Einstein condensates
(270.5585) Quantum optics : Quantum information and processing

ToC Category:
Atomic and Molecular Physics

Original Manuscript: November 2, 2009
Manuscript Accepted: December 5, 2009
Published: December 18, 2009

A. Abdelrahman, P. Hannaford, and K. Alameh, "Adiabatically induced coherent Josephson oscillations of ultracold atoms in an asymmetric two-dimensional magnetic lattice," Opt. Express 17, 24358-24370 (2009)

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