Stochastic differential equations for quantum dynamics of spin-boson networks

oleh: Stephan Mandt, Darius Sadri, Andrew A Houck, Hakan E Türeci

Format: Article
Diterbitkan: IOP Publishing 2015-01-01

Deskripsi

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.