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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.


Also Published In

New Journal of Physics

More About This Work

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