Few-mode geometric description of a driven-dissipative phase transition in an open quantum system
| Autor: | Mikhail Pletyukhov, Dmitry O. Krimer |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Physics
Phase transition Quantum Physics Condensed Matter - Mesoscale and Nanoscale Physics Mode (statistics) General Physics and Astronomy FOS: Physical sciences 01 natural sciences Connection (mathematics) Condensed Matter - Other Condensed Matter Open quantum system Nonlinear system Hysteresis Classical mechanics 0103 physical sciences Mesoscale and Nanoscale Physics (cond-mat.mes-hall) Dissipative system Point (geometry) 010306 general physics Quantum Physics (quant-ph) Other Condensed Matter (cond-mat.other) Optics (physics.optics) Physics - Optics |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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