From short-time diffusive to long-time ballistic dynamics: the unusual center-of-mass motion of quantum bright solitons
arXiv:1407.7633 · doi:10.1103/PhysRevA.91.063616
Abstract
Brownian motion is ballistic on short time scales and diffusive on long time scales. Our theoretical investigations indicate that one can observe the exact opposite - an "anomaleous diffusion process" where initially diffusive motion becomes ballistic on longer time scales - in an ultracold atom system with a size comparable to macromolecules. This system is a quantum matter-wave bright soliton subject to decoherence via three-particle losses for which we investigate the center-of-mass motion. Our simulations show that such unusual center-of-mass dynamics should be observable on experimentally accessible time scales.
arXiv comment8 pages, 4 figures, minor revisions
References in corpus (40)
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- Formation and Propagation of Matter Wave Soliton Trains
- Formation of a Matter-Wave Bright Soliton
- Bose-Einstein condensation of atoms in a uniform potential
- Quantum Walk in Position Space with Single Optically Trapped Atoms
- Formation of bright matter-wave solitons during the collapse of Bose-Einstein condensates
- Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional
- The truncated Wigner method for Bose condensed gases: limits of validity and applications
- Collisions of matter-wave solitons
- Quantum random walks in optical lattices
- Spontaneous soliton formation and modulational instability in Bose-Einstein condensates
- Controlled formation and reflection of a bright solitary matter-wave
- A Bright Solitonic Matter-Wave Interferometer
- Regular spatial structures in arrays of Bose-Einstein condensates induced by modulational instability
- Effect of collective molecular reorientations on Brownian motion of colloids in nematic liquid crystal
- Creation and detection of a mesoscopic gas in a non-local quantum superposition
- Lane reduction in driven 2d-colloidal systems through microchannels
- Dissipative Transport of a Bose-Einstein Condensate
- Friction and diffusion of matter-wave bright solitons
- Bright matter-wave soliton collisions at narrow barriers
- Soliton-based matter wave interferometer
- Quantum dynamics of atomic bright solitons under splitting and re-collision, and implications for interferometry
- Quantum Joule-Thomson Effect in a Saturated Homogeneous Bose Gas
- Interactions of solitons with a Gaussian barrier: Splitting and recombination in quasi-1D and 3D
- Splitting bright matter-wave solitons on narrow potential barriers: quantum to classical transition and applications to interferometry
- Generating mesoscopic Bell states via collisions of distinguishable quantum bright solitons
- Death of soliton trains in attractive Bose-Einstein condensates
- Propagation, breathing and transition of matter-wave packet trains
- Many-body Anderson localization in one dimensional systems
- Three-body recombination at vanishing scattering lengths in an ultracold Bose gas
- Transition from diffusive to ballistic dynamics for a class of finite quantum models
- Invariance of the Kohn (sloshing) mode in a conserving theory
- Internal structure of a quantum soliton and classical excitations due to trap opening
- Effect of inter-particle interaction in a free oscillation atomic interferometer
- Statistical properties of one dimensional attractive Bose gas
- Bright soliton quantum superpositions: signatures of high- and low-fidelity states
- Quantum theory of bright matter wave solitons in harmonic confinement
- Nonlocal quantum superpositions of bright matter-wave solitons and dimers
- Quantum bright solitons in a quasi-one-dimensional optical lattice
- Beyond mean-field behavior of large Bose-Einstein condensates in double-well potentials
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- Generation and decoherence of soliton spatial superposition states
- Collisions of solitary waves in condensates beyond mean-field theory
- Boundedness of meta-conformal two-point functions in one and two spatial dimensions
- Hyper-entangling mesoscopic bound states
- Solitary waves explore the quantum-to-classical transition