Stochastic differential equations for quantum dynamics of spin-boson networks

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

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

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 languageEnglish (US)
Article number053018
JournalNew Journal of Physics
Volume17
DOIs
StatePublished - May 1 2015

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Keywords

  • dynamical phase transitions
  • many-body physics
  • open quantum systems
  • phase-space representations
  • quantum dynamics
  • spin-boson networks
  • stochastic differential equations

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