Few-mode geometric description of a driven-dissipative phase transition in an open quantum system
Quantum Physics
2019-09-17 v4 Mesoscale and Nanoscale Physics
Other Condensed Matter
Optics
Abstract
By example of the nonlinear Kerr-mode driven by a laser, we show that hysteresis phenomena in systems featuring a driven-dissipative phase transition (DPT) can be accurately described in terms of just two collective, dissipative Liouvillian eigenmodes. The key quantities are just two components of a nonabelian geometric connection, even though a single parameter is driven. This powerful geometric approach considerably simplifies the description of driven-dissipative phase transitions, extending the range of computationally accessible parameter regimes, and providing a new starting point for both experimental studies and analytical insights.
Keywords
Cite
@article{arxiv.1808.00030,
title = {Few-mode geometric description of a driven-dissipative phase transition in an open quantum system},
author = {Dmitry O. Krimer and Mikhail Pletyukhov},
journal= {arXiv preprint arXiv:1808.00030},
year = {2019}
}