Theory of Optomechanical Locking in Driven-Dissipative Coupled Polariton Condensates
arXiv:2312.08420 · doi:10.1103/PhysRevB.109.165305
Abstract
The ubiquitous phenomenon of synchronization is inherently characteristic of dynamical dissipative non-linear systems. In particular, synchronization has been theoretically and experimentally demonstrated for exciton-polariton condensates with time-independent coupling. Unlike that case, we theoretically investigate the effects of a fixed mechanical harmonic driving, i.e., a coherent phonon population, that induces time modulation in the coupling of two coupled condensates. Our model applies both to electrically generated modulation, through coherent bulk acoustic waves, and to self-induced optomechanical vibrations. We consider linear as well as quadratic phonon-displacement-induced modulations of the polariton coupling. Peculiar asynchronously locked phases are found and analyzed in the context of synchronization and Josephson-type oscillations phenomena that appear in the non-driven case. Notably, Arnold tongues corresponding to the asynchronously locked phases emerge at condensate detunings that correspond to integer numbers of the mechanical frequency and also to rational fractions of it. Unlocked quasiperiodic and chaotic regimes can also be reached. In particular, the phonon-induced fractional locking frequencies arrange in a Farey sequence that produces a devil's staircase of the steady-state dressed detuning between the condensates. Importantly, both polariton-polariton and reservoir-polariton interactions facilitate the realization of coherent phonon-induced asynchronously locked phases. The relation to recent experiments on optomechanically driven condensates in arrays of polariton traps is discussed.
18 pages, 9 figures
References in corpus (16)
- Sideband Cooling Micromechanical Motion to the Quantum Ground State
- Quantum fluids of light
- Strongly Interacting Polaritons in Coupled Arrays of Cavities
- Quantum technologies with hybrid systems
- Quantum-fluid dynamics of microcavity polaritons
- Coherent Oscillations in an Exciton-Polariton Josephson Junction
- Non-Hermitian chiral phononics through optomechanically-induced squeezing
- Synchronized and desynchronized phases of coupled non-equilibrium exciton-polariton condensates
- Synchronized and Desynchronized Phases of Exciton-Polariton Condensates in the Presence of Disorder
- Farey tree and devil's staircase of frequency-locked breathers in ultrafast lasers
- Mode-locking and mode-competition in a non-equilibrium solid-state condensate
- Optomechanical properties of GaAs/AlAs micropillar resonators operating in the 18 GHz range
- Microcavity phonoritons -- a coherent optical-to-microwave interface
- Cavity polariton optomechanics: Polariton path to fully resonant dispersive coupling in optomechanical resonators
- Optomechanical parametric oscillation of a quantum light-fluid lattice
- Asynchronous Locking in Metamaterials of Fluids of Light and Sound