Generalized acceleration theorem for spatiotemporal Bloch waves

Abstract

A representation is put forward for wave functions of quantum particles in periodic lattice potentials subjected to homogeneous time-periodic forcing, based on an expansion with respect to Bloch-like states which embody both the spatial and the temporal periodicity. It is shown that there exists a generalization of Bloch's famous acceleration theorem which grows out of this representation and captures the effect of a weak probe force applied in addition to a strong dressing force. Taken together, these elements point at a "dressing and probing" strategy for coherent wave-packet manipulation, which could be implemented in present experiments with optical lattices.

12 pages, 4 figures

References in corpus (4)

• Many-Body Physics with Ultracold Gases
• Coherent control of dressed matter waves
• Exploring dynamic localization with a Bose-Einstein condensate
• Driven optical lattices as strong-field simulators

Cited by in corpus (19)

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• Gauge invariance and the interpretation of inter- and intraband processes in high-order harmonic generation from bulk solids
• Kilohertz-driven Bose-Einstein condensates in optical lattices
• Delocalization-enhanced Bloch oscillations and driven resonant tunneling in optical lattices for precision force measurements
• Floquet oscillations in periodically driven Dirac systems
• Visual observation of optical Floquet-Bloch oscillations
• Dispersion relations for stationary light in one-dimensional atomic ensembles
• Orbital-driven melting of a bosonic Mott insulator in a shaken optical lattice
• Super Bloch Oscillation in a PT symmetric system
• Floquet solitons and dynamics of periodically driven matter waves with negative effective mass
• Dynamical Control in a Quasi-periodically Modulated Optical Lattice
• Instabilities of interacting matter waves in optical lattices with Floquet driving
• Resonant control of cold-atom transport through two optical lattices with a constant relative speed
• Quantum metrology with Bloch Oscillations in Floquet phase space
• Conformal quantum mechanics as a Floquet-Dirac system
• ac Stark shift and multiphoton-like resonances in low-frequency driven optical lattices
• Effective time-reversal via periodic shaking
• Chirped Bloch-Harmonic oscillations in a parametrically forced optical lattice
• Stability of superfluids in tilted optical lattices with periodic driving