Dissipative spin chains: Implementation with cold atoms and steady-state properties

Abstract

We propose a quantum optical implementation of a class of dissipative spin systems, including the XXZ and Ising model, with ultra-cold atoms in optical lattices. Employing the motional degree of freedom of the atoms and detuned Raman transitions we show how to obtain engineerable dissipation and a tunable transversal magnetic field, enabling the study of the dynamics and steady-states of dissipative spin models. As an example of effects made accessible this way, we consider small spin chains and weak dissipation and show by numerical simulation that steady-state expectation values display pronounced peaks at certain critical system parameters. We show that this effect is related to degeneracies in the Hamiltonian and derive a sufficient condition for its occurrence.

14 pages, 10 figures, published version, includes new figure and several small changes

References in corpus (6)

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• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Phase diagram and critical exponents of a dissipative Ising spin chain in a transverse magnetic field
• Solvable quantum nonequilibrium model exhibiting a phase transition and a matrix product representation
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• Boosting quantum battery performance by structure engineering
• Lattice mapping for many-body open quantum systems and its application to atoms in photonic cystals
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• The global phase diagram of the cluster-XY spin chain with dissipation
• Noise Effects on Diabatic Quantum Annealing Protocols
• Hierarchy of degenerate stationary states in a boundary-driven dipole-conserving spin chain