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arXiv · 1703.04626

A solvable family of driven-dissipative many-body systems

Michael Foss-Feig·Jeremy T. Young·Victor V. Albert·Alexey V. Gorshkov·Mohammad F. Maghrebi
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Abstract

Exactly solvable models have played an important role in establishing the sophisticated modern understanding of equilibrium many-body physics. And conversely, the relative scarcity of solutions for non-equilibrium models greatly limits our understanding of systems away from thermal equilibrium. We study a family of non-equilibrium models, some of which can be viewed as dissipative analogues of the transverse-field Ising model, in that an effectively classical Hamiltonian is frustrated by dissipative processes that drive the system toward states that do not commute with the Hamiltonian. Surprisingly, a broad and experimentally relevant subset of these models can be solved efficiently in any number of spatial dimensions. We leverage these solutions to prove a no-go theorem on steady-state phase transitions in a many-body model that can be realized naturally with Rydberg atoms or trapped ions, and to compute the effects of decoherence on a canonical trapped-ion-based quantum computation architecture.

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Michael Foss-Feig, Jeremy T. Young, Victor V. Albert, Alexey V. Gorshkov, Mohammad F. Maghrebi. 2017-03-14. A solvable family of driven-dissipative many-body systems. https://doi.org/10.1103/physrevlett.119.190402

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