Chaotic Bloch oscillations in dissipative optical systems driven by a periodic train of coherent pulses
arXiv:2206.14488 · doi:10.1103/PhysRevA.107.053519
Abstract
We study the response of an optical system with the Kerr nonlinearity demonstrating Bloch oscillations to a periodic train of coherent pulses. It has been found out that the intensity of the field excited in the system by pulses resonantly depends on the train period. It is demonstrated numerically and analytically that the response of the system is stronger when the period of the driving pulses is commensurate with the period of the Bloch oscillations. Moreover, large enough pulses are capable to induce the instabilities which eventually lead to onset of chaotic Bloch oscillations of the wave-function envelope bouncing both in time and space. The analysis reveals that these instabilities are associated with period-doubling bifurcations. A cascade of such bifurcations with increase of the pulses amplitude triggers the chaotic behaviour.
References in corpus (25)
- Individual nanoantennas empowered by bound states in the continuum for nonlinear photonics
- Excitations in a non-equilibrium Bose-Einstein condensate of exciton-polaritons
- Bloch oscillations and mean-field effects of Bose-Einstein condensates in 1-D optical lattices
- Light propagation and localization in modulated photonic lattices and waveguides
- Modulational instability in cigar shaped Bose-Einstein condensates in optical lattices
- Control of Interaction-Induced Dephasing of Bloch Oscillations
- Experimental properties of Bose-Einstein condensates in 1D optical lattices: Bloch oscillations, Landau-Zener tunneling and mean-field effects
- Long-living Bloch oscillations of matter waves in optical lattices
- Observation and uses of position-space Bloch oscillations in an ultracold gas
- Symmetric Bloch oscillations of matter waves
- Optical Zener-Bloch oscillations in binary waveguide arrays
- Stable Bloch oscillations of cold atoms with time-dependent interaction
- Discrete surface solitons in two dimensions
- Dynamical localization of gap-solitons by time periodic forces
- Spatial Bloch oscillations of a quantum gas in a "beat-note" superlattice
- Bloch Oscillations of an Exciton-polariton Bose-Einstein Condensate
- Long lived matter waves Bloch oscillations and dynamical localization by time dependent nonlinearity management
- Wavelength-scale Optical Parametric Oscillators
- Transition from propagating polariton solitons to a standing wave condensate induced by interactions
- The dynamical playground of a higher-order cubic Ginzburg-Landau equation: from orbital connections and limit cycles to invariant tori and the onset of chaos
- Bloch-oscillations of exciton-polaritons and photons for the generation of an alternating terahertz spin current
- Bloch oscillations and resonant radiation of light propagating in arrays of nonlinear fibers with high-order dispersion
- Spin oscillations of a single-mode polariton system driven by a plane wave
- Bloch Oscillations of Hybrid Light-Matter Particles in a Waveguide Array
- Observation of the Wannier-Stark ladder in plasmonic waveguide arrays