Expansion of matter waves in static and driven periodic potentials

Abstract

We study the non-equilibrium dynamics of cold atoms held in an optical lattice potential. The expansion of an initially confined atom cloud occurs in two phases: an initial quadratic expansion followed by a ballistic behaviour at long times. Accounting for this gives a good description of recent experimental results, and provides a robust method to extract the effective intersite tunneling from time-of-flight measurements.

4 pages, 3 eps figures

References in corpus (11)

• Cold bosonic atoms in optical lattices
• Dynamical control of matter-wave tunneling in periodic potentials
• Single Particle Tunneling in Strongly Driven Double Well Potentials
• Observation of photon-assisted tunneling in optical lattices
• Exploring dynamic localization with a Bose-Einstein condensate
• Quantum control and entanglement using periodic driving fields
• Instability and control of a periodically-driven Bose-Einstein condensate
• An algebraic solution of driven single band tight binding dynamics
• Controlled generation of coherent matter-currents using a periodic driving field
• Photon-assisted tunneling in optical lattices: Ballistic transport of interacting boson pairs
• Quantum transport and localization in biased periodic structures under bi- and polychromatic driving

Cited by in corpus (30)

• Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
• Atomic quantum gases in periodically driven optical lattices
• High-frequency approximation for periodically driven quantum systems from a Floquet-space perspective
• Schrieffer-Wolff Transformation for Periodically Driven Systems: Strongly Correlated Systems with Artificial Gauge Fields
• Prethermal Floquet Steady States and Instabilities in the Periodically Driven, Weakly Interacting Bose-Hubbard Model
• Adiabatic Perturbation Theory and Geometry of Periodically-Driven Systems
• Heating and many-body resonances in a periodically driven two-band system
• Creating State-Dependent Lattices for Ultracold Fermions by Magnetic Gradient Modulation
• Effective three-body interactions via photon-assisted tunneling in an optical lattice
• Floquet theorem for open systems and its applications
• Directed transport in driven optical lattices by phase generation
• Direct tunneling delay time measurement in an optical lattice
• Stroboscopic versus non-stroboscopic dynamics in the Floquet realization of the Harper-Hofstadter Hamiltonian
• Macroscopic Quantum Tunneling Escape of Bose-Einstein Condensates
• Coupled Atomic Wires in a Synthetic Magnetic Field
• Topological Phase Transition and Charge Pumping in a One-Dimensional Periodically Driven Optical Lattice
• Generation of uniform synthetic magnetic fields by split driving of an optical lattice
• Floquet analysis of the modulated two-mode Bose-Hubbard model
• Population trapping in a pair of periodically driven Rydberg atoms
• Finding zeros of the Riemann zeta function by periodic driving of cold atoms
• Simulating Dirac models with ultracold atoms in optical lattices
• Floquet solitons and dynamics of periodically driven matter waves with negative effective mass
• Spatial two-particle NOON-states in periodically shaken three-well potentials
• Individually tunable tunnelling coefficients in optical lattices using local periodic driving
• Effective time-reversal via periodic shaking
• Floquet analysis of time-averaged trapping potentials
• Relativistic motion of an Airy wavepacket in a lattice potential
• Distinguishing mesoscopic quantum superpositions from statistical mixtures in periodically shaken double wells
• Continued fraction analysis of dressed systems: application to periodically driven optical lattices
• Resonantly enhanced coherence by laser-assisted tunneling