Nonequilibrium dynamics of arbitrary-range Ising models with decoherence: An exact analytic solution

Published

April 3, 2013

Author(s)

John J. Bollinger, Michael Foss-Feig, Kaden R. Hazzard, Ana Maria Rey

Abstract

Understanding the interplay between interactions and decoherence in many-body systems is of fundamental importance in quantum physics: Decoherence can degrade correlations, but can also give rise to a variety of rich dynamical and steady-state behaviors. In a step toward this understanding, we obtain an exact analytic solution for the non-equilibrium dynamics of Ising models with arbitrary interactions and subject to the most general form of local Markovian decoherence. Our solution shows that the effects of decoherence can be more dramatic than predicted by single particle considerations, and also reveals a dynamical phase transition. These calculations will find applications in ongoing quantum information and emulation efforts using a variety of AMO and solid-state systems.

Citation

Physical Review A

Volume

87

Pub Type

Journals

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Keywords

decoherence, Ising models, non-equilibrium dynamics, quantum emulation, quantum information, spontaneous emission, trapped ions

Citation

Bollinger, J. , Foss-Feig, M. , Hazzard, K. and , A. (2013), Nonequilibrium dynamics of arbitrary-range Ising models with decoherence: An exact analytic solution, Physical Review A, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=912416 (Accessed October 14, 2025)