Berlin 2018 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 40: Dual-Method Approaches to Quantum Many-Body Systems II
TT 40.9: Talk
Tuesday, March 13, 2018, 12:15–12:30, H 3010
Driven-dissipative phase transitions of open quantum systems from a Floquet-Liouville perspective — •Viktor Reimer1, Mikhail Pletyukhov1, and Vladimir Gritsev2 — 1Institute for Theory of Statistical Physics, RWTH Aachen University, Germany — 2Institute for Theoretical Physics, University of Amsterdam, Netherlands
The study of driven-dissipative open quantum systems prompted the emergence of a plethora of interesting new physics inaccessible to their equilibrium counterparts. Combining Floquet’s theorem with the general Liouvillian approach to open quantum systems provides powerful tools to investigate such systems beyond the adiabatic limit.
Here, we present a general method to calculate the quasistationary state of a driven-dissipative system coupled to a transmission line with arbitrary coherent driving strength and modulation frequency of system parameters. Our first application of the method is the two level system with time-dependent parameters and we explore the regime where the breakdown of the adiabaticity condition happens even for a slow time modulation. Secondly, we apply our method to a driven three level Λ-system exhibiting electromagnetically induced transparency (EIT) and observe how the time modulation modifies the latter phenomenon.
Our focus however lies on the third application – the single-mode Kerr nonlinearity model – where driving is considered across the bistability point of the dissipative phase transition. In this talk I discuss the behaviour of observables in the quasistationary time regime and the critical regime of parameters.