Bonn 2025 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe
QI: Fachverband Quanteninformation
QI 28: Decoherence and Open Quantum Systems (joint session QI/Q)
QI 28.3: Vortrag
Donnerstag, 13. März 2025, 11:45–12:00, HS II
Quantum synchronization of twin limit-cycle oscillators — •Tobias Kehrer1, Parvinder Solanki2, and Christoph Bruder1 — 1Department of Physics, University of Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland — 2Institut für Theoretische Physik, Universität Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, Germany
Limit cycles in classical systems are closed phase-space trajectories to which the system converges regardless of its initial state. Their quantum counterparts have been proposed for open quantum systems, exhibiting steady-state phase-space representations with ring-like structures of stable radius but no phase preference. The synchronization of such quantum systems has been studied extensively in the past decade, where an external drive can localize the phase of the steady state. Unlike in classical systems, quantum synchronization can exhibit coherence cancellations, leading to a synchronization blockade.
In this work, we propose a quantum system whose classical analogue features two limit cycles. In the classical analogue, the system can end up in either one of the limit cycles, defined by their basins of attraction and choice of initial states. In the quantum system, both limit cycles coexist independently of the initial state, i.e., the Wigner function of the steady state features two rings. Adding an external drive to a single oscillator, its limit cycles localize to distinct phases, exhibiting different synchronization behaviors within the same system. Furthermore, we demonstrate that coupling two such twin limit-cycle oscillators leads to simultaneous synchronization and synchronization blockades between different limit cycles of oscillator A and B.
Keywords: Quantum Synchronization; Open Quantum Systems; Quantum van der Pol Oscillators; Simulation of Open Quantum Systems; Quantum Theory