Dresden 2017 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 76: Poster Session: Transport 2
TT 76.6: Poster
Donnerstag, 23. März 2017, 15:00–19:00, P2-OG1
Time-Translation Symmetry Breaking and First-Order Phase Transitions in Periodically Driven Quantum Oscillators — Jennifer Gosner1, •Björn Kubala1, Mark Dykman2, and Joachim Ankerhold1 — 1Institute for Complex Quantum Systems and IQST, Ulm University, Ulm, Germany — 2Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan, USA
Periodically driven damped nonlinear oscillators show under sufficiently strong driving (dynamical) bifurcations. Typically the driving is given by frequencies close to the eigenfrequency of the system or twice the eigenfrequency. Here we analyze the general situation with a drive close to the Mth overtone. We provide the relation between eigenstates in the frame rotating with the oscillator’s eigenfrequency and standard M-period Floquet states, discuss time-translational symmetry breaking, and develop a detailed analysis of the phase-space structure and its symmetries.
General results are then illustrated for driving close to three times the eigenfrequency. We find that, in the presence of dissipation, a quantum oscillator can support three states of period-three vibrations that co-exist with the state of no vibrations. With varying detuning a first-order transition appears, where the populations of these states change exponentially strongly. We study the rates of switching between the stable states and their peculiar scaling behavior near bifurcation points. The results allow revealing “time crystals” in simple quantum systems, including the systems studied in circuit QED.