Topological phases of shaken quantum Ising lattices

Fernández-Lorenzo, Samuel, García-Ripoll, Juan José and Porras, Diego (2016) Topological phases of shaken quantum Ising lattices. New Journal of Physics, 18. 023030. ISSN 1367-2630

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Abstract

The quantum compass model consists of a two-dimensional square spin lattice where the orientation of the spin-spin interactions depends on the spatial direction of the bonds. It has remarkable symmetry properties and the ground state shows topological degeneracy. The implementation of the quantum compass model in quantum simulation setups like ultracold atoms and trapped ions is far from trivial, since spin interactions in those systems typically are independent of the spatial direction. Ising spin interactions, on the contrary, can be induced and controlled in atomic setups with state-of-the art experimental techniques. In this work, we show how the quantum compass model on a rectangular lattice can be simulated by the use of the photon-assisted tunneling induced by periodic drivings on a quantum Ising spin model. We describe a procedure to adiabatically prepare one of the doubly-degenerate ground states of this model by adiabatically ramping down a transverse magnetic field, with surprising differences depending on the parity of the lattice size. Exact diagonalizations confirm the validity of this approach for small lattices. Specific implementations of this scheme are presented with ultracold atoms in optical lattices in the Mott insulator regime, as well as with Rydberg atoms.

Item Type: Article
Keywords: topological quantum models, periodic drivings, ultracold atoms in optical lattices, Rydberg atoms in optical lattices, quantum compass model
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
Subjects: Q Science > QC Physics
Depositing User: Richard Chambers
Date Deposited: 20 May 2016 07:08
Last Modified: 18 Aug 2017 05:33
URI: http://sro.sussex.ac.uk/id/eprint/61095

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Project NameSussex Project NumberFunderFunder Ref
New Frontiers in Quantum Simulation: NewFQSG1309EUROPEAN UNIONPCIG14-GA-2013-630955