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Floquet-Bloch lattices are systems in which wave packets are subjet to periodic modulations both in time and space, showing rich dynamics. While this type of lattices is difficult to implement in solid-state physics, optical systems have…

We consider transport exponents associated with the dynamics of a wavepacket in a discrete one-dimensional quantum system and develop a general method for proving upper bounds for these exponents in terms of the norms of transfer matrices…

Disordered Systems and Neural Networks · Physics 2007-05-23 David Damanik , Serguei Tcheremchantsev

When a semiconductor absorbs light, the resulting electron-hole superposition amounts to a uncontrolled quantum ripple that eventually degenerates into diffusion. If the conformation of these excitonic superpositions could be engineered,…

Mesoscale and Nanoscale Physics · Physics 2017-05-31 Xiaoning Zang , Simone Montangero , Lincoln D. Carr , Mark T. Lusk

The energy spectrum of a system of Bose atoms in the superfluid phase in an optical lattice of the graphene type has been studied. The dispersion laws for the energy bands and the single particle spectral densities are calculated in the…

Quantum Gases · Physics 2014-11-21 I. V. Stasyuk , O. V. Velychko , I. R. Dulepa

The electronic structure of a graphene superlattice composed by two periodic regions with different Fermi velocity, energy gap and electrostatic potential is investigated by using an effective Dirac-like Hamiltonian. It must be expected…

Materials Science · Physics 2015-04-07 Jonas R. F. Lima

We develop an effective medium approach to characterize the propagation of matter waves in periodic structures, such as graphene or semiconductor superlattices. It is proven that the time evolution of the states that are not more localized…

Materials Science · Physics 2015-06-04 Mario Silveirinha , Nader Engheta

In this letter, we experimentally investigate the directional characteristics of propagating, finite-amplitude wave packets in lattice materials, with an emphasis on the functionality enhancement due to the nonlinearly-generated higher…

Pattern Formation and Solitons · Physics 2017-06-27 R. Ganesh , Stefano Gonella

We study quantum dynamics of a wave packet on a class of one dimensional decorated aperiodic lattices, described within a tight binding formalism. We look for the possibility of finding extended single particle states even in the absence of…

Mesoscale and Nanoscale Physics · Physics 2024-05-30 Sougata Biswas , Arunava Chakrabarti

Inspired by the problem of elastic wave scattering on wrinkled interfaces, we studied the scattering of ballistic electrons on a wrinkled potential energy region. The electron transmission coefficient depends on both wrinkle amplitude and…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 T. L. Mitran , G. A. Nemnes , L. Ion , Daniela Dragoman

We study the coherent dynamics of one- and two-electron transport in a linear array of tunnel-coupled quantum dots. We find that this system exhibits a rich variety of coherent phenomena, ranging from electron wavepacket propagation and…

Quantum Physics · Physics 2007-05-23 G. M. Nikolopoulos , D. Petrosyan , P. Lambropoulos

Recent experiments (Kudrolli, Pier and Gollub, 1998) on two-frequency parametrically excited surface waves exhibit an intriguing "superlattice" wave pattern near a codimension-two bifurcation point where both subharmonic and harmonic waves…

Pattern Formation and Solitons · Physics 2009-10-31 Mary Silber , Chad M. Topaz , Anne C. Skeldon

A range of twist angles between adjacent surfaces/volumes are intrinsic to natural graphite or artificially design in multi-layer graphene. In addition, stacking faults can be created by the application of mechanic, electric or magnetic…

Mesoscale and Nanoscale Physics · Physics 2025-12-15 Nadina Gheorghiu , Charles R. Ebbing , George Y. Panasyuk , Timothy J. Haugan

We examine the high-frequency differential conductivity response properties of semiconductor superlattices having various miniband dispersion laws. Our analysis shows that the anharmonicity of Bloch oscillations (beyond tight-binding…

Condensed Matter · Physics 2009-11-07 Yuriy A. Romanov , Lev G. Mourokh , Norman J. M. Horing

The light propagating in a waveguide array or photonic lattice has become an ideal platform to control light and to mimic quantum behaviors in a classical system. We here investigate the propagation of light in a coupled waveguide array…

Quantum Physics · Physics 2018-02-06 Chao Ma , Yuan-Sheng Wang , Jun-Hong An

We use semiclassical Hamiltonian optics to investigate the propagation of light rays through two-dimensional photonic crystals when slow spatial modulation of the lattice parameters induces mixed stable-chaotic ray dynamics. This modulation…

Other Condensed Matter · Physics 2011-04-19 A. J. Henning , T. M. Fromhold , P. B. Wilkinson

In the present contribution we investigate some features of dynamical lattice systems near periodic traveling waves. First, following the formal averaging method of Whitham, we derive modulation systems expected to drive at main order the…

Analysis of PDEs · Mathematics 2016-08-08 Bugra Kabil , Luis Miguel Rodrigues

In a semiconductor superlattice with long scattering times, damping of Bloch oscillations due to scattering is so small that convective nonlinearities may compensate it and Bloch oscillations persist even in the hydrodynamic regime. In this…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 L. L. Bonilla , M. Álvaro , M. Carretero

We address the enhancement of electron drift in semiconductor superlattices of nanometre scale that occurs in combined electric and tilted magnetic fields if Bloch oscillations become resonant with cyclotron rotation in the transverse…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 S. M. Soskin , I. A. Khovanov , P. V. E. McClintock

Generation of terahertz harmonics by frequency multiplication with a semiconductor superlattice due to an excitation of relaxation oscillations by incident waves is investigated theoretically. It is shown that the relaxation oscillations…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Anatoly A Ignatov

We analyze wavepacket propagation in traveling wave tubes (TWTs) analytically and numerically. TWT design in essence comprises a pencil-like electron beam in vacuum interacting with an electromagnetic wave guided by a slow-wave structure…

Plasma Physics · Physics 2025-04-22 Kasra Rouhi , Filippo Capolino , Alexander Figotin
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