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TT: Fachverband Tiefe Temperaturen

TT 22: Superconductivity: Theory

TT 22.9: Vortrag

Dienstag, 2. April 2019, 11:45–12:00, H7

Analytic study of dissipative phase transitions in a driven nonlinear resonator model — •Mikhail Pletyukhov — RWTH Aachen University, Institute for Theory of Statistical Physics, 52074 Aachen, Germany

The Kerr nonlinearity model plays an important role in circuit QED. At strong microwave drive and weak nonlinearity it is known to feature a bistable behavior, which can be interpreted as a dissipative phase transition. In this talk, I show on the basis of the analytical solution for the steady state of this model that some effective limiting procedure (mimicking the thermodynamic limit) does lead to a jump in observables - the property of the first order transition, and I give a full analytic charaterization of this transition. In the two-photon driven Kerr model, a similar consideration allows one to characterize a second-order transition occurring in it, and this issue is also addressed in the talk.