Modulational Instabity of Spin-Orbit Coupled Bose-Einstein Condensates in Discrete Media
arXiv:2110.00288 · doi:10.1016/j.physleta.2021.127696
Abstract
We address the impact of intra-site spin-orbit (SO) coupling and associated inter-component Rabi coupling on the modulational instability (MI) of plane-wave states in two-component discrete Bose-Einstein condensates (BECs). Conditions for the onset of the MI and the respective instability are found analytically. SO coupling allows us to produce the MI even for a small initial wavenumber (q < π/2) for miscible states. In particular, SO coupling introduces MI even in the absence of hopping coefficient, a concept which may have wider ramifications in heavy atomic BECs. Our investigations predict that the impact of Rabi coupling is more pronounced compared to the other system parameters. We have also shown how our results of the linear stability analysis can be corroborated numerically. The fact that we have brought out the stability criteria in different domains of system parameters means that our model is tailor made experiments.
arXiv comment8 pages, 10 figures
References in corpus (27)
- A spin-orbit coupled Bose-Einstein condensate
- Formation and Propagation of Matter Wave Soliton Trains
- Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates
- Spin-Orbit Coupled Spinor Bose-Einstein Condensates
- Quantum tri-criticality and phase transitions in spin-orbit coupled Bose-Einstein condensates
- Matter-wave bright solitons in spin-orbit coupled Bose-Einstein condensates
- The creation of two-dimensional composite solitons in spin-orbit-coupled self-attractive Bose-Einstein condensates in free space
- Bright solitons in spin-orbit-coupled Bose-Einstein condensates
- Spontaneous soliton formation and modulational instability in Bose-Einstein condensates
- Gap solitons in the spin-orbit coupled Bose-Einstein condensates
- Multiple domain formation induced by modulation instability in two-component Bose-Einstein condensates
- Localized modes in dense repulsive and attractive Bose-Einstein condensates with spin-orbit and Rabi couplings
- Modulation instability and solitary wave formation in two-component Bose-Einstein condensates
- Topological Insulators and Metals in Atomic Optical Lattices
- Localized modes in quasi-2D Bose-Einstein condensates with spin-orbit and Rabi couplings
- Bose-Einstein Condensates in Spin-Orbit Coupled Optical Lattices: Flat Bands and Superfluidity
- Modulational instability in binary spin-orbit-coupled Bose-Einstein condensates
- Dynamical and energetic instabilities in multi-component Bose-Einstein condensates in optical lattices
- Spin-orbit coupled Bose-Einstein condensate in a tilted optical lattice
- Nonlinear modes in binary bosonic condensates with the pseudo-spin-orbital coupling
- Modulation instability associated nonlinear dynamics of spin-orbit coupled Bose-Einstein condensates
- Modulational instability of two-component Bose-Einstein condensates in an optical lattice
- Dynamical instability of a Bose-Einstein condensate with higher-order interactions in an optical potential through a variational approach
- Modulational Instabilities and Domain Walls in Coupled Discrete Nonlinear Schrödinger Equations
- Discrete solitons in an array of quantum dots
- Dynamical quorum sensing and clustering dynamics in a population of spatially distributed active rotators
- Localized modes in mini-gaps opened by periodically modulated intersite coupling in two-dimensional nonlinear lattices