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Stochastic differential equations for quantum dynamics of spin-boson networks

Mandt, Stephan; Sadri, Darius; Houck, Andrew A.; Türeci, Hakan E.

A popular approach in quantum optics is to map a master equation to a stochastic differential equation, where quantum effects manifest themselves through noise terms. We generalize this approach based on the positive-P representation to systems involving spin, in particular networks or lattices of interacting spins and bosons. We test our approach on a driven dimer of spins and photons, compare it to the master equation, and predict a novel dynamic phase transition in this system. Our numerical approach has scaling advantages over existing methods, but typically requires regularization in terms of drive and dissipation.

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Title
New Journal of Physics
DOI
https://doi.org/10.1088/1367-2630/17/5/053018

More About This Work

Academic Units
Computer Science
Publisher
IOP Publishing
Published Here
December 2, 2016
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