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Band formation in periodic media is a central topic in undergraduate solid-state physics, typically introduced through Bloch's theorem as an eigenvalue problem in reciprocal space for infinitely periodic systems. While mathematically…

Computational Physics · Physics 2026-04-07 Nishant Kashyap , Amit Tanwar , Vivek T. Ramamoorthy , Pragati Ashdhir

The spontaneous breaking of time translation symmetry has led to the discovery of a new phase of matter - the discrete time crystal. Discrete time crystals exhibit rigid subharmonic oscillations, which result from a combination of many-body…

We present experimental confirmation of dynamic facilitation in monodisperse and bidisperse colloidal suspensions near the glass transition volume fraction. Correlations in particle dynamics are seen to exist not only in space (clusters and…

Soft Condensed Matter · Physics 2014-06-24 Scott V. Franklin , Eric R. Weeks

We study the behaviour of the expectation value of the acceleration of a particle in a one-dimensional periodic potential when an external homogeneous force is suddenly applied. The theory is formulated in terms of modified Bloch states…

Quantum Physics · Physics 2015-06-04 Federico Duque-Gomez , J. E. Sipe

We study the Bloch dynamics of a Bose-Einstein condensate of cold atoms by using the formalism of the discrete nonlinear Schroedinger equation. Depending on the static force magnitudes the system is shown to exhibit two qualitatively…

Other Condensed Matter · Physics 2007-05-23 Andrey R. Kolovsky

Directed-ratchet transport (DRT) in a one-dimensional lattice of spherical beads, which serves as a prototype for granular crystals, is investigated. We consider a system where the trajectory of the central bead is prescribed by a…

Pattern Formation and Solitons · Physics 2014-12-03 V. Berardi , J. Lydon , P. G. Kevrekidis , C. Daraio , R. Carretero-Gonzalez

Recent studies demonstrated the violation of reciprocity in optical processes in low-symmetry magnetic crystals. In these crystals the speed of light can be different for counter-propagating beams. Correspondingly, they can show strong…

Materials Science · Physics 2014-01-15 David Szaller , Sandor Bordacs , Istvan Kezsmarki

Stark many-body localized (SMBL) systems have been shown both numerically and experimentally to have Bloch many-body oscillations, quantum many-body scars, and fragmentation in the large field tilt limit. Likewise, they are believed to show…

Disordered Systems and Neural Networks · Physics 2022-01-20 Thivan Gunawardana , Berislav Buča

It is common for dispersion curves of damped periodic materials to be based on real frequencies versus complex wavenumbers or, conversely, real wavenumbers versus complex frequencies. The former condition corresponds to harmonic wave motion…

Materials Science · Physics 2016-04-26 Michael J. Frazier , Mahmoud I. Hussein

The dynamics of a (quasi)one-dimensional interacting atomic Bose-Einstein condensate in a tilted optical lattice is studied in a discrete mean-field approximation, i.e., in terms of the discrete nonlinear Schr\"odinger equation. If the…

Quantum Physics · Physics 2015-05-13 Andrey R. Kolovsky , Edgar A. Gómez , Hans Jürgen Korsch

We study the conservative and deterministic dynamics of two nonlinearly interacting particles evolving in a one-dimensional spatially periodic washboard potential. A weak tilt of the washboard potential is applied biasing one direction for…

Statistical Mechanics · Physics 2011-02-07 D. Hennig , A. D. Burbanks , A. H. Osbaldestin

We discuss Bragg scattering on both Bose and Fermi gases with strong short-range interactions in the deep inelastic regime of large wave vector transfer $q$, where the dynamic structure factor is dominated by a resonance near the…

Quantum Gases · Physics 2017-03-07 Johannes Hofmann , Wilhelm Zwerger

We show that properly detuning the carrier frequency of each of the criss-cross bichromatic waves from the transition frequency of the atom, it is possible to form a two-dimensional trap for atoms if the intensity of the waves is…

This paper is devoted to the study of the dynamics of two weakly-coupled Bose-Einstein condensates confined in a double-well trap and perturbed by random external forces. Energy diffusion due to random forcing allows the system to visit…

Other Condensed Matter · Physics 2009-11-10 J. Garnier , F. Kh. Abdullaev

AxFe2-ySe2 (A=K, Rb, Cs) superconductors may show a complex mixture of structural phases even in a single crystal form. A full sphere of the diffraction intensity has been collected, with the help of synchrotron radiation, for Cs0.8Fe1.6Se2…

Parity-time-reversal symmetry ($\mathcal{PT}$ symmetry), a symmetry for the combined operations of space inversion ($\mathcal{P}$) and time reversal ($\mathcal{T}$), is a fundamental concept of physics and characterizes the functionality of…

Materials Science · Physics 2024-06-21 Hikaru Watanabe , Youichi Yanase

We study the Bloch dynamics of a quasi one-dimensional Bose-Einstein condensate of cold atoms in a tilted optical lattice modeled by a Hamiltonian of Bose-Hubbard type: The corresponding mean-field system described by a discrete nonlinear…

Quantum Physics · Physics 2015-05-13 Andrey R. Kolovsky , Hans Jürgen Korsch , Eva-Maria Graefe

Flat bands and dynamical localization of binary mixtures of Bose-Einstein condensates, with spin-orbit coupling subjected to a deep optical lattice which is shaking in time and to a periodic time modulation of the Zeeman field, are…

Quantum Gases · Physics 2018-12-10 Fatkhulla Kh. Abdullaev , Mario Salerno

The transient picture for a Bloch electron accelerating in an arbitrarily time-dependent homogeneous electric field is developed. The temporal sequence for the analysis includes the instant after electron injection, followed by the time…

Mesoscale and Nanoscale Physics · Physics 2026-03-02 G. J. Iafrate , V. N. Sokolov

The motion of a quantum system subjected to an external force often defeats our classical intuition. A celebrated example is the dynamics of a single particle in a periodic potential, which undergoes Bloch oscillations under the action of a…

Quantum Gases · Physics 2025-11-11 F. Rabec , G. Chauveau , G. Brochier , S. Nascimbene , J. Dalibard , J. Beugnon
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