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Phys. Rev. Lett. 93, 250405 (2004) [4 pages]

Implementation of Spin Hamiltonians in Optical Lattices

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J. J. García-Ripoll1, M. A. Martin-Delgado1,2, and J. I. Cirac1
1Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Str. 1, Garching, D-85748, Germany
2Universidad Complutense de Madrid, Fac. de CC. Físicas, Ciudad Universitaria, Madrid, E-28040, Spain

Received 27 April 2004; published 15 December 2004

We propose an optical lattice setup to investigate spin chains and ladders. Electric and magnetic fields allow us to vary at will the coupling constants, producing a variety of quantum phases including the Haldane phase, critical phases, quantum dimers, etc. Numerical simulations are presented showing how ground states can be prepared adiabatically. We also propose ways to measure a number of observables, like energy gap, staggered magnetization, end-chain spins effects, spin correlations, and the string-order parameter.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.93.250405
DOI:
10.1103/PhysRevLett.93.250405
PACS:
03.75.Mn, 03.75.Lm, 75.10.Jm