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

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• Anyonic quantum spin chains: Spin-1 generalizations and topological stability
• Quantum synchronization in dimer atomic lattices
• The Open-System Dicke-Model Quantum Phase Transition with a Sub-Ohmic Bath
• Probing the spectral density of a dissipative qubit via quantum synchronization
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• Dissipation as a resource for Quantum Reservoir Computing
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• Quantum chimera states
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• Boosting quantum battery performance by structure engineering
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• Noise Effects on Diabatic Quantum Annealing Protocols
• Hierarchy of degenerate stationary states in a boundary-driven dipole-conserving spin chain