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Special localized wavemodes show up in several physical scenarios including BEC in optical lattices, nonlinear photonic crystals and systems with strong electron-phonon interaction. These result from an underlying nonlinear contribution to…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Marcelo L. Lyra , Rodrigo P. A. Lima

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

Atomic wave packets in optical lattices which are both spatially finite and time-dependent exhibit many striking similarities with light pulses in photonic crystals. We analytically characterize the transmission properties of such a…

Quantum Physics · Physics 2015-03-17 T Lauber , P Massignan , G Birkl , A Sanpera

In this paper, we report results for the wave packet dynamics in a class of quasiperiodic chains consisting of two types of weakly coupled clusters. The dynamics are studied by means of the return probability and the mean square…

Mesoscale and Nanoscale Physics · Physics 2010-01-29 Stefanie Thiem , Michael Schreiber , Uwe Grimm

The broadening of one-dimensional Gaussian wave packets is presented in all textbooks on quantum mechanics. It is used to elucidate Heisenberg's uncertainty relation. The behaviour on a lattice is drastically different if the amplitude…

Other Condensed Matter · Physics 2019-06-26 K. Schönhammer

Periodic band structures are a hallmark phenomenon of condensed matter physics. While often imposed by external potentials, periodicity can also arise through the interplay of couplings that are not necessarily spatially periodic on their…

Localized quantum wave packets can be produced in a variety of physical systems and are the subject of much current research in atomic, molecular, chemical, and condensed-matter physics. They are particularly well suited for studying the…

Quantum Physics · Physics 2009-09-25 Robert Bluhm , Alan Kostelecky , James Porter

We investigate the wave packet dynamics for a one-dimensional incommensurate optical lattice with a special on-site potential which exhibits the mobility edge in a compactly analytic form. We calculate the density propagation, long-time…

Disordered Systems and Neural Networks · Physics 2020-02-10 Zhihao Xu , Hongli Huangfu , Yunbo Zhang , Shu Chen

The dynamic localization of a two-level atom in a periodic potential under the action of spin-orbit coupling and a weak harmonically-varying linear force is studied. We consider optical and Zeeman potentials that are either in-phase or…

Quantum Gases · Physics 2016-12-09 Yaroslav V. Kartashov , Vladimir V. Konotop , Dmitry A. Zezyulin , Lluis Torner

We add a time-dependent potential to the inhomogeneous wave equation and consider the task of reconstructing this potential from measurements of the wave field. This dynamic inverse problem becomes more involved compared to static…

Numerical Analysis · Mathematics 2017-08-24 Thies Gerken , Armin Lechleiter

In general, space-time wave packets with correlations between transverse spatial fields and temporal frequency spectra can lead to unique spatiotemporal dynamics, thus enabling control of the instantaneous light properties. However,…

The semiclassical theory of Bloch wave packet dynamics predicts a self-rotation angular momentum in asymmetric periodic potentials, which has never been observed. We show how this is manifested in Bose-Einstein condensed atoms in optical…

Condensed Matter · Physics 2016-08-31 Roberto B. Diener , Artem M. Dudarev , Ganesh Sundaram , Qian Niu

We consider the superposition of plane waves and localized wave packets. This kind of wave function can result from a local excitation of a particle described by a plane wave. For charged particles, the wave packet means a current, the time…

Quantum Physics · Physics 2019-02-08 Istvan Magashegyi , Katalin Oltyan , Peter Foldi

By viewing the electron as a wavepacket in the positive energy spectrum of the Dirac equation, we are able to achieve a much clearer understanding of its behavior under weak electromagnetic fields. The intrinsic spin magnetic moment is…

General Physics · Physics 2007-09-11 Chih-Piao Chuu , Ming-Che Chang , Qian Niu

We study the dynamics of solitary waves traveling in a one-dimensional chain of bistable elements in the presence of a local inhomogeneity (defect). Numerical simulations reveal that depending upon its initial speed, an incoming solitary…

Chaotic Dynamics · Physics 2022-11-23 Mohammed A. Mohammed , Piyush Grover

The lattice dynamics of coesite has been studied by a combination of diffuse x-ray scattering, inelastic x-ray scattering and an ab initio lattice dynamics calculation. The combined technique gives access to the full lattice dynamics in…

Within the combined potential of an optical lattice and a harmonic magnetic trap, it is possible to form matter wave packets by intensity modulation of the lattice. An analysis of the production and motion of these wave packets provides a…

We report on a Digital Image Correlation-based technique for the detection of in-plane elastic waves propagating in structural lattices. The experimental characterization of wave motion in lattice structures is currently of great interest…

Classical Physics · Physics 2016-09-29 Marshall Schaeffer , Giuseppe Trainiti , Massimo Ruzzene

We investigate experimentally a Bose Einstein condensate placed in a 1D optical lattice whose phase is modulated at a frequency large compared to all characteristic frequencies. As a result, the depth of the periodic potential is…

Quantum Gases · Physics 2018-04-09 C. Cabrera-Gutiérrez , A. Fortun , E. Michon , V. Brunaud , M. Arnal , J. Billy , D. Guéry-Odelin

Paraxial wave packets with discrete spatial, temporal, or spatiotemporal spectra are known to undergo periodic axial revivals on propagation in either free space or linear transparent, weakly dispersive media. Such spectacular revivals,…

Optics · Physics 2026-03-18 Yanlin Bai , Yangjian Cai , Chunhao Liang , Sergey A. Ponomarenko