Dispersion relations and self-localization of quasiparticles in coupled elongated Bose-Einstein condensates
arXiv:2006.06621 · doi:10.1103/PhysRevA.102.043316
Abstract
We present a detailed study of the spectrum and dispersion of Bogoliubov quasiparticles in two coupled elongated Bose-Einstein condensates. We develop an analytically solvable model that approximates two infinite homogeneous condensates and compare its predictions to a numerical simulation of a realistic trapped system. While the comparisons show a reasonable agreement between the two models, they also manifest the existence of several anomalous Bogoliubov modes in the spectrum. These modes show degeneracy in both energy and momentum together with self-localization in the coordinate space.
References in corpus (32)
- A spin-orbit coupled Bose-Einstein condensate
- Quantum metrology with nonclassical states of atomic ensembles
- Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
- Atom Interferometers
- Non-equilibrium coherence dynamics in one-dimensional Bose gases
- Degenerate Quantum Gases with Spin-Orbit Coupling
- Numerical Solution of the Gross-Pitaevskii Equation for Bose-Einstein Condensation
- Classical bifurcation at the transition from Rabi to Josephson dynamics
- Observation of Phase Fluctuations in Bose-Einstein Condensates
- The Gross-Pitaevskii Equation for Bose Particles in a Double Well Potential: Two Mode Models and Beyond
- Phase-fluctuating 3D condensates in elongated traps
- Dynamics of a tunable superfluid junction
- Connecting dissipation and phase slips in a Josephson junction between fermionic superfluids
- An ideal Josephson junction in an ultracold two-dimensional Fermi gas
- Designing Arbitrary One-dimensional Potentials on an Atom Chip
- Kelvin Waves of Quantized Vortex Lines in Trapped Bose-Einstein Condensates
- Critical transport and vortex dynamics in a thin atomic Josephson junction
- Relative phase fluctuations of two coupled one-dimensional condensates
- Josephson plasma oscillations and the Gross-Pitaevskii equation: Bogoliubov approach vs two-mode model
- Roton excitations in a trapped dipolar Bose-Einstein condensate
- Ground State and Quasiparticle Spectrum of a Two Component Bose-Einstein Condensate
- Modulational instabilities in Josephson oscillations of elongated coupled condensates
- Dispersion relation and excitation character of a two-component Bose-Einstein condensate
- Multidimensional Josephson vortices in spin-orbit coupled Bose-Einstein condensates: snake instability and decay through vortex dipoles
- Tunneling of persistent currents in coupled ring-shaped Bose-Einstein condensates
- Sign of tunnel coupling in barrier-separated Bose-Einstein condensates and stability of double-ring systems
- Quasiparticles of widely tuneable inertial mass: The dispersion relation of atomic Josephson vortices and related solitary waves
- Dynamics in asymmetric double-well condensates
- Non-linear mixing of Bogoliubov modes in a bosonic Josephson junction
- Finite-temperature dynamics of a bosonic Josephson junction
- Collective excitations and tunneling dynamics in long bosonic Josephson junctions
- Phonon-Josephson resonances in atomtronic circuits
Cited by in corpus (5)
- Relaxation in an Extended Bosonic Josephson Junction
- Superfluidity breakdown of Rabi-coupled two-component Bose-Einstein condensates in optical lattices
- Dynamics of thermalization of two tunnel-coupled one-dimensional quasicondensates
- Quasiparticle spectra of mixtures of dipolar and non-dipolar condensates at zero and finite temperatures
- Tachyonic and parametric instabilities in an extended bosonic Josephson junction