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Implementation of Spin Hamiltonians in Optical Lattices

2004/04/26 by Juan José García‐Ripoll, J. J. Garcia-Ripoll, M. A. Martín-Delgado +2 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum many-body systems #cond-mat.str-el #quant-ph

paper · pdf · doi:10.1103/physrevlett.93.250405

published as Phys. Rev. Lett. 93, 250405 (2004)

arxiv created 2004/04/26 · openalex publication_date 2004/12/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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