Parametric oscillations in a dissipative bosonic Josephson junction
arXiv:2001.04785 · doi:10.1088/1361-6455/ab82e3
Abstract
We study the dynamics of a nonlinear dissipative bosonic Josephson junction (BJJ) with a time-dependent sinusoidal perturbation in interaction term. We demonstrate parametric resonance where the system undergoes sustained periodic oscillations even in the presence of dissipation. This happens when the frequency of the perturbation is close to twice the frequency of the unperturbed Josephson oscillations and the strength of perturbation exceeds a critical threshold. We have formulated the threshold conditions for parametric oscillations. To explore the nature of the oscillations, we carry out a multiple time scale analysis of the stability boundaries in terms of the V-shaped Arnold's tongue in the parameter space. Full numerical simulations have been performed for the zero-, running- and -phase modes of nonlinear Josephson effect. Our results demonstrate that in -phase mode, the system is capable of making a transition from regular parametric to chaotic parametric oscillations as one crosses the stability boundary. Also, the phase difference undergoes phase slip before executing sustained parametric oscillations.
References in corpus (32)
- Many-Body Physics with Ultracold Gases
- Reheating after Inflation
- Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
- Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates
- Degenerate Quantum Gases with Spin-Orbit Coupling
- Dynamically Stabilized Bright Solitons in a Two-Dimensional Bose-Einstein Condensate
- A lattice of double wells for manipulating pairs of cold atoms
- Faraday patterns in Bose-Einstein condensates
- Non-equilibrium steady-states in a driven-dissipative superfluid
- Radio-frequency dressed state potentials for neutral atoms
- Adiabatic radio frequency potentials for the coherent manipulation of matter waves
- Dynamics of a tunable superfluid junction
- Relaxation to a Phase-locked Equilibrium State in a One-dimensional Bosonic Josephson Junction
- Stabilization of bright solitons and vortex solitons in a trapless three-dimensional Bose-Einstein condensate by temporal modulation of the scattering length
- Faraday waves in Bose-Einstein condensates
- Crossing Over from Attractive to Repulsive Interactions in a Tunneling Bosonic Josephson Junction
- Realization of a single Josephson junction for Bose-Einstein condensates
- Faraday waves in binary non-miscible Bose-Einstein condensates
- Stability diagram and growth rate of parametric resonances in Bose-Einstein condensates in one-dimensional optical lattices
- Barrier resonances in Bose-Einstein condensation
- Kelvin Waves of Quantized Vortex Lines in Trapped Bose-Einstein Condensates
- The dynamics of a strongly driven two component Bose-Einstein Condensate
- Periodic Quantum Tunneling and Parametric Resonance with Cigar-Shaped Bose-Einstein Condensates
- Faraday waves in collisionally inhomogeneous Bose-Einstein condensates
- Analytical Pendulum Model for a Bosonic Josephson Junction
- Inflationary quasiparticle creation and thermalization dynamics in coupled Bose-Einstein condensates
- Stability and decay of Bloch oscillations in presence of time-dependent nonlinearity
- Suppression of Faraday waves in a Bose-Einstein condensate in the presence of an optical lattice
- Controllable Asymmetric Matter-wave Beam Splitter and Ring Potential on an Atom Chip
- Resonances for coupled Bose-Einstein Condensates
- Parametric resonance of a Bose-Einstein condensate in a ring trap with periodically driven interactions
- Dynamics of small trapped one-dimensional Fermi gas under oscillating magnetic fields