High- and low-frequency phonon modes in dipolar quantum gases trapped in deep lattices
arXiv:1302.2410 · doi:10.1103/PhysRevA.87.023623
Abstract
We study normal modes propagating on top of the stable uniform background in arrays of dipolar Bose-Einstein condensate (BEC) droplets trapped in a deep optical lattice. Both the on-site mean-field dynamics of the droplets and their displacement due to the repulsive dipole-dipole interactions (DDIs) are taken into account. Dispersion relations for two modes, \textit{viz}., high- and low- frequency counterparts of optical and acoustic phonon modes in condensed matter, are derived analytically and verified by direct simulations, for both cases of the repulsive and attractive contact interactions. The (counterpart of the) optical-phonon branch does not exist without the DDIs. These results are relevant in the connection to emerging experimental techniques enabling real-time imaging of the condensate dynamics and direct experimental measurement of phonon dispersion relations in BECs.
Physical Review A, in press
References in corpus (23)
- Many-Body Physics with Ultracold Gases
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Maximally localized Wannier functions: Theory and applications
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
- Bose-Einstein condensation of chromium
- A Strongly Dipolar Bose-Einstein Condensate of Dysprosium
- Bose-Einstein Condensation of Erbium
- Strong dipolar effects in a quantum ferrofluid
- Observation of dipole-dipole interaction in a degenerate quantum gas
- Stabilizing a purely dipolar quantum gas against collapse
- Can One Trust Quantum Simulators?
- Observation of attraction between dark solitons
- Radial and angular rotons in trapped dipolar gases
- Metastable states of a gas of dipolar bosons in a 2D optical lattice
- Dynamical properties of ultracold bosons in an optical lattice
- Bose-Einstein condensates in 1D optical lattices: compressibility, Bloch bands and elementary excitations
- Magnetic dipolar interaction in an atomic Bose Einstein condensate interferometer
- Spontaneous Circulation in Ground-State Spinor Dipolar Bose-Einstein Condensates
- Bose-Einstein condensates with attractive 1/r interaction: The case of self-trapping
- Stable periodic density waves in dipolar Bose-Einstein condensates trapped in optical lattices
- The phonon dispersion relation of a Bose-Einstein condensate
- Bogoliubov speed of sound for a dilute Bose-Einstein condensate in a 3d optical lattice
Cited by in corpus (9)
- Rayleigh-Jeans condensation of pumped magnons in thin film ferromagnets
- Lattice solitons with quadrupolar intersite interactions
- Detecting One-Dimensional Dipolar Bosonic Crystal Orders via Full Distribution Functions
- Bright solitons in quasi-one dimensional dipolar condensates with spatially modulated interactions
- Dipolar matter-wave solitons in two-dimensional anisotropic discrete lattices
- Stripe and checkerboard patterns in a stack of driven quasi-one-dimensional dipolar condensates
- Bright solitons in Bose-Einstein condensates with field-induced dipole moments
- Exploring phonon-like interactions in one-dimensional Bose-Fermi mixtures
- Density engineering via inter-condensate dipole-dipole interactions