Multistable localized states in highly photonic polariton rings with a quasiperiodic modulation

Abstract

We present a theoretical study of an exciton-polariton annular microcavity with an additional quasiperiodic structure along the ring which is implemented in the form of a bicosine dependence. We demonstrate that for a sufficiently strong quasiperiodic modulation, the microcavity features a sharp mobility edge separating a cluster of localized states from the rest of the spectrum consisting of states extended over the whole ring. Localized modes can be excited using a resonant pump whose topological charge determines the phase distribution of excited patterns. Repulsive polariton interactions make the resonance peaks distinctively asymmetric and enable the formation of multistable states which feature the attractor-like dynamical behavior \rev{and hysteresis}. We also demonstrate that the localized states can be realized in a biannular cavity that consists of two rings, each having periodic modulation, such that the periods of two modulations are different.

arXiv comment8 pages, 6 figures; to appear in Phys. Rev. B

References in corpus (27)

• Quantum fluids of light
• Mobility Edges in 1D Bichromatic Incommensurate Potentials
• Exponential localization in one-dimensional quasiperiodic optical lattices
• Fractal energy spectrum of a polariton gas in a Fibonacci quasi-periodic potential
• Finite temperature phase transition for disordered weakly interacting bosons in one dimension
• Critical Behavior and Fractality in Shallow One-Dimensional Quasiperiodic Potentials
• Localization in one-dimensional incommensurate lattices beyond the Aubry-André model
• Emergence of criticality through a cascade of delocalization transitions in quasiperiodic chains
• Spontaneous Pulse Formation in Edge-Less Photonic Crystal Resonators
• Creation of orbital angular momentum states with chiral polaritonic lenses
• Energy Relaxation in a 1-D Polariton Condensate
• From the Lugiato-Lefever equation to microresonator based soliton Kerr frequency combs
• Collective state transitions of exciton-polaritons loaded into a periodic potential
• Spin-Flipping Half Vortex in a Macroscopic Polariton Spinor Ring Condensate
• Quantum Vortex Formation in the "Rotating Bucket'' Experiment with Polariton Condensates
• Fourier synthesis dispersion engineering of photonic crystal microrings for broadband frequency combs
• Stochastic Gross-Pitaevskii Equation for the Dynamical Thermalization of Bose-Einstein Condensates
• Optically driven rotation of exciton-polariton condensates
• Enhancing ground state population and macroscopic coherence of room-temperature WS${}_2$ polaritons through engineered confinement
• Localization of ultracold atoms in incommensurate spin-orbit-coupling and Zeeman lattices
• Rotating patterns in polariton condensates in ring-shaped potentials under bichromatic pump
• Steady state oscillations of circular currents in concentric polariton condensates
• Dynamics of spin polarization in tilted polariton rings
• Multistable circular currents of polariton condensates trapped in ring potentials
• Pseudo-conservative dynamics of coupled polariton condensates
• Structuring co- and counter-flowing currents of polariton condensates in concentric ring-shaped potentials
• Nonequilibrium polariton condensation in biannular optically induced traps