Abstract
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.
Original language | English (US) |
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Article number | 053018 |
Journal | New Journal of Physics |
Volume | 17 |
DOIs | |
State | Published - May 1 2015 |
All Science Journal Classification (ASJC) codes
- General Physics and Astronomy
Keywords
- dynamical phase transitions
- many-body physics
- open quantum systems
- phase-space representations
- quantum dynamics
- spin-boson networks
- stochastic differential equations