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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.