Pulse propagation in interacting one dimensional Bose liquid
arXiv:1603.05466 · doi:10.1103/PhysRevB.94.045110
Abstract
We study wave propagation in interacting Bose liquid, where the short range part of the interaction between atoms is of a hard core type, and its long range part scales with a distance as a power law. The cases of Coulomb, dipole-dipole and Van der Waals interaction are considered. We employ a hydrodynamic approach, based on the exact solution of Lieb-Liniger model, and study the evolution of a density pulse instantly released from a potential trap. We analyze semi-classical Euler and continuity equations and construct the corresponding Riemann invariants. We supplement our analysis with numerical calculations and discuss experimental applications for ultacold atom experiments.
arXiv comment10 pages, 8 figures
References in corpus (30)
- Many-Body Physics with Ultracold Gases
- Feshbach Resonances in Ultracold Gases
- Bose-Einstein condensation of chromium
- One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
- A Strongly Dipolar Bose-Einstein Condensate of Dysprosium
- Matter-wave interferometry in a double well on an atom chip
- One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
- Atom interferometry with Bose-Einstein condensates in a double-well potential
- Stabilizing a purely dipolar quantum gas against collapse
- Interferometry with Bose-Einstein Condensates in Microgravity
- On Dispersive and Classical Shock Waves in Bose-Einstein Condensates and Gas Dynamics
- Integrated Mach-Zehnder interferometer for Bose-Einstein condensates
- Stability and phase coherence of trapped 1D Bose gases
- Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions
- Quench dynamics of the interacting Bose gas in one dimension
- Quantum Hydrodynamics, Quantum Benjamin-Ono Equation, and Calogero Model
- Realization of a single Josephson junction for Bose-Einstein condensates
- Decoherence Dynamics in Low-Dimensional Cold Atom Interferometers
- Intrinsic dephasing in one dimensional ultracold atom interferometers
- An exact formalism for the quench dynamics of integrable models
- Quantum ripples over a semi-classical shock
- Thermalization in a quasi-1D ultracold bosonic gas
- Relaxation of a high-energy quasiparticle in a one-dimensional Bose gas
- Hydrodynamics of cold atomic gases in the limit of weak nonlinearity, dispersion and dissipation
- Dynamics of waves in 1D electron systems: Density oscillations driven by population inversion
- Shock waves in a one-dimensional Bose gas: from a Bose-Einstein condensate to a Tonks gas
- Dissipationless kinetics of one dimensional interacting fermions
- Cold bosons in the Landauer setup
- Equilibration and GGE for hard wall boundary conditions
- Decay of Bogoliubov quasiparticles in a nonideal one-dimensional Bose gas
Cited by in corpus (5)
- Diffusion in generalized hydrodynamics and quasiparticle scattering
- Large-scale description of interacting one-dimensional Bose gases: generalized hydrodynamics supersedes conventional hydrodynamics
- Generalized Hydrodynamics in the 1D Bose gas: theory and experiments
- Real-time spin-charge separation in one-dimensional Fermi gases from generalized hydrodynamics
- The Whitham approach to Generalized Hydrodynamics