Theory of superfluidity and drag force in the one-dimensional Bose gas
arXiv:1106.6329 · doi:10.1007/s11467-011-0211-2
Abstract
The one-dimensional Bose gas is an unusual superfluid. In contrast to higher spatial dimensions, the existence of non-classical rotational inertia is not directly linked to the dissipationless motion of infinitesimal impurities. Recently, experimental tests with ultracold atoms have begun and quantitative predictions for the drag force experienced by moving obstacles have become available. This topical review discusses the drag force obtained from linear response theory in relation to Landau's criterion of superfluidity. Based upon improved analytical and numerical understanding of the dynamical structure factor, results for different obstacle potentials are obtained, including single impurities, optical lattices and random potentials generated from speckle patterns. The dynamical breakdown of superfluidity in random potentials is discussed in relation to Anderson localization and the predicted superfluid-insulator transition in these systems.
17 pages, 12 figures, mini-review prepared for the special issue of Frontiers of Physics "Recent Progresses on Quantum Dynamics of Ultracold Atoms and Future Quantum Technologies", edited by Profs. Lee, Ueda, and Drummond
References in corpus (26)
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- Observation of persistent flow of a Bose-Einstein condensate in a toroidal trap
- Destruction of Anderson localization by a weak nonlinearity
- Bosonizing one-dimensional cold atomic gases
- Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials
- Absence of Wavepacket Diffusion in Disordered Nonlinear Systems
- Anderson localization in Bose-Einstein condensates
- Quantum transport through a Tonks-Girardeau gas
- Dynamical density-density correlations in the one-dimensional Bose gas
- Ultracold Bose Gases in 1D Disorder: From Lifshits Glass to Bose-Einstein Condensate
- Phase diagram for a Bose-Einstein condensate moving in an optical lattice
- Exact exponents of edge singularities in dynamic correlation functions of 1D Bose gas
- Anderson Localization of Bogolyubov Quasiparticles in Interacting Bose-Einstein Condensates
- Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions
- Cold atom confinement in an all-optical dark ring trap
- Decay of a superfluid currents in a moving system of strongly interacting bosons
- Superfluidity versus Anderson localization in a dilute Bose gas
- Superfluid-insulator transition in a moving system of interacting bosons
- Smoothing effect and delocalization of interacting Bose-Einstein condensates in random potentials
- Nonuniversal prefactors in correlation functions of 1D quantum liquids
- Polarizability and dynamic structure factor of the one-dimensional Bose gas near the Tonks-Girardeau limit at finite temperatures
- The Dynamic Structure Factor of the 1D Bose Gas near the Tonks-Girardeau Limit
- Heavily Damped Motion of One-Dimensional Bose Gases in an Optical Lattice
- Persistent current of atoms in a ring optical lattice
- Decay of superfluid currents in the interacting one-dimensional Bose gas
- Approximate expression for the dynamic structure factor in the Lieb-Liniger model
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- Superfluidity in Bose-Hubbard circuits
- Effective potential renormalization and polaronic mass shift in a trapped dynamical impurity-luttinger liquid system
- Universal damping behavior of dipole oscillations of one-dimensional ultracold gases induced by quantum phase slips
- Gaussian impurity moving through a Bose-Einstein superfluid
- Microscopic theory of the friction force exerted on a quantum impurity in one-dimensional quantum liquids
- Temperature-dependence of small harmonically trapped atom systems with Bose, Fermi and Boltzmann statistics
- Polaron-Depleton Transition in the Yrast Excitations of a One-Dimensional Bose Gas with a Mobile Impurity
- Driven impurity in an ultracold 1D Bose gas with intermediate interaction strength
- Dimensional crossover in a Fermi gas from one to effective six dimensions and a cross-dimensional Tomonaga-Luttinger model
- Engineering momentum profiles of cold-atom beams
- Motion of an Impurity in a Bose-Einstein Condensate with Weyl Spin-Orbit Coupling: Non-collinear Drag Force and Anisotropic Critical Velocity
- Critical velocity for superfluidity in the one-dimensional mean-field regime: From matter to light quantum fluids
- Dissipative dynamics of a heavy impurity in a Bose gas in the strong coupling regime
- Beyond superfluidity in driven non-equilibrium Bose-Einstein condensates
- Creation of excitations from a uniform impurity motion in the condensate
- Moving perturbation in a one-dimensional Fermi gas
- Linear response of one-dimensional liquid He to external perturbations
- Ballistic transport of interacting Bose particles in the tight-binding chain
- Relaxation dynamics of a mobile impurity injected into a one-dimensional Bose gas
- Influence of quantum fluctuations on the superfluid critical velocity of a one-dimensional Bose gas
- Landau instability and mobility edges of the interacting one-dimensional Bose gas in weak random potentials
- Efficient variational approach to the Fermi polaron problem in two dimensions, both in and out of equilibrium
- Bogoliubov Theory for a Superfluid Bose Gas Flowing in a Random Potential: Stability and Critical Velocity
- Environment-limited transfer of angular momentum in Bose liquids