njp_18_2_023030.pdf (1.15 MB)
Topological phases of shaken quantum Ising lattices
Version 2 2023-06-12, 06:39
Version 1 2023-06-09, 01:19
journal contribution
posted on 2023-06-12, 06:39 authored by Samuel Fernández-Lorenzo, Juan José García-Ripoll, Diego PorrasThe 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.
Funding
New Frontiers in Quantum Simulation: NewFQS; G1309; EUROPEAN UNION; PCIG14-GA-2013-630955
History
Publication status
- Published
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- Published version
Journal
New Journal of PhysicsISSN
1367-2630Publisher
IOP PublishingExternal DOI
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18Page range
23030Department affiliated with
- Physics and Astronomy Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2016-05-20First Open Access (FOA) Date
2016-05-20First Compliant Deposit (FCD) Date
2016-05-19Usage metrics
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