Dynamic localization in Glauber-Fock lattices

Abstract

Glauber-Fock lattices refer to a special class of semi-infinite tight-binding lattices with inhomogeneous hopping rates which are found in certain simple solid-state, quantum optics and quantum field theoretical models. Here it is shown that dynamic localization, i.e. suppression of quantum diffusion and periodic quantum self-imaging by an external sinusoidal force [D.H. Dunlap and V.M. Kenkre, Phys. Rev. B {\bf 34}, 3625 (1986)], can be exactly realized in Glauber-Fock lattices, in spite of inhomogeneity of hopping rates and lattice truncation.

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References in corpus (9)

• Dynamical control of matter-wave tunneling in periodic potentials
• Deep Strong Coupling Regime of the Jaynes-Cummings model
• Observation of photon-assisted tunneling in optical lattices
• Exploring dynamic localization with a Bose-Einstein condensate
• Photonic realization of the quantum Rabi model
• Classical analogue of displaced Fock states and quantum correlations in Glauber-Fock photonic lattices
• Tailoring the correlation and anti-correlation behavior of path-entangled photons in Glauber-Fock oscillator lattices
• Trap modulation spectroscopy of the Mott-insulator transition in optical lattices
• Classical simulation of the Hubbard-Holstein dynamics with optical waveguide lattices

Cited by in corpus (4)

• Discrete Parametric Oscillation and Nondiffracting Beams in a Glauber-Fock Oscillator
• Quantum recurrence and fractional dynamic localization in ac-driven perfect state transfer Hamiltonians
• Optical Tautochrone and Squeezing Dynamics in Nonuniform Lattices
• Floquet engineering with spatially non-uniform driving fields