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Synthetic photonic lattice with temporally controlled potentials is a versatile platform for realizing wave dynamics associated with physical areas of optics and quantum physics. Here, discrete optics in one-dimensionally synthetic photonic…

Optics · Physics 2020-10-28 Zengrun Wen , Kaile Wang , Baole Lu , Xinyuan Qi , Haowei Chen , Jintao Bai

A two-dimensional periodically driven (Floquet) system with zero winding number in the absence of time-reversal symmetry is usually considered topologically trivial. Here, we study the dynamics of a Gaussian wave packet placed at the…

Quantum Gases · Physics 2025-05-06 Xin-Xin Yang , Kai-Ye Shi , F. Nur Ünal , Wei Zhang

We study a two-dimensional motion of a charged particle in a weak random potential and a perpendicular magnetic field. The correlation length of the potential is assumed to be much larger than the de Broglie wavelength. Under such…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 M. M. Fogler , A. Yu. Dobin , V. I. Perel , B. I. Shklovskii

Adding a high-frequency ac component to the bias field of a superlattice induces a synchronous modulation of the velocity with which the electrons traverse the Brillouin zone. In the presence of inelastic scattering, the k-space velocity…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Herbert Kroemer

A powerful method of manipulating the dynamics of quantum coherent particles is to control the phase of their tunneling. We consider a system of two electrons hopping on a quasi one-dimensional lattice in the presence of a uniform magnetic…

Mesoscale and Nanoscale Physics · Physics 2010-09-01 C. E. Creffield , G. Platero

The engineering of synthetic dimensions allows for the construction of fictitious lattice structures by coupling the discrete degrees of freedom of a physical system, such as the quantized modes of an electromagnetic cavity or the internal…

We study entanglement dynamics in the nearest-neighbour fermionic chain that is subjected to both DC and AC electric fields. The dynamics gives the well known Bloch oscillations in the DC field case provided that the system size is larger…

Mesoscale and Nanoscale Physics · Physics 2018-07-13 Devendra Singh Bhakuni , Auditya Sharma

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

Systems with space-periodic Hamiltonians have unique scattering properties. The discrete translational symmetry associated with periodicity of the Hamiltonian creates scattering channels that govern the scattering process. We consider a…

Quantum Physics · Physics 2019-08-08 Max D. Porter , Aaron Barr , Ariel Barr , L. E. Reichl

We study the effects of dissipation on electron transport in a semiconductor superlattice with an applied bias voltage and a magnetic field that is tilted relative to the superlattice axis.In previous work, we showed that although the…

Other Condensed Matter · Physics 2008-03-13 A. G. Balanov , D. Fowler , A. Patanè , L. Eaves , T. M. Fromhold

In this paper, we study a one-dimensional tight-binding model with tunable incommensurate potentials. Through the analysis of the inverse participation rate, we uncover that the wave functions corresponding to the energies of the system…

Disordered Systems and Neural Networks · Physics 2022-02-02 Tong Liu , Yufei Zhu , Shujie Cheng , Feng Li , Hao Guo , Yong Pu

We analytically study a system of spinless fermions driven at the boundary with an oscillating chemical potential. Various transport regimes can be observed: at zero driving frequency the particle current through the system is independent…

Quantum Physics · Physics 2011-11-22 Marko Znidaric , Bojan Zunkovic , Tomaz Prosen

We report some nonsmooth dynamics of a Bloch state in a one-dimensional tight binding model with the periodic boundary condition. After a sudden change of the potential of an arbitrary site, quantities like the survival probability of the…

Quantum Physics · Physics 2024-06-25 J. M. Zhang , Hua-Tong Yang

By employing a local two-fluid theory, we investigate an obliquely propagating electromagnetic instability in the lower hybrid frequency range driven by cross-field current or relative drifts between electrons and ions. The theory…

Astrophysics · Physics 2007-05-23 Hantao Ji , Russell Kulsrud , William Fox , Masaaki Yamada

We study the propagation of waves in quasi-one-dimensional finite periodic systems whose classical (ray) dynamics is diffusive. By considering a random matrix model for a chain of $L$ identical chaotic cavities, we show that its average…

Disordered Systems and Neural Networks · Physics 2016-04-26 Felipe Barra , Vincent Pagneux , Jaime Zuñiga

In the present work, we study coherent structures in a one-dimensional discrete nonlinear Schr\"odinger lattice in which the coupling between waveguides is periodically modulated. Numerical experiments with single-site initial conditions…

Pattern Formation and Solitons · Physics 2023-08-23 Ross Parker , Jesús Cuevas-Maraver , P. G. Kevrekidis , Alejandro Aceves

Nonequilibrium transport measurements in mesoscopic quasi-ballistic 2D electron systems show an enhancement in the differential conductance around the Fermi energy. At very low temperatures, such a zero-bias anomaly splits, leading to a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Arindam Ghosh , Matthew Wright , Christophe Siegert , Michael Pepper , Ian Farrer , Chris Ford , David Ritchie

Motivated by experimental progress in strongly coupled atom-photon systems in optical cavities, we study theoretically the quantum dynamics of atoms coupled to a one-dimensional dynamical optical lattice. The dynamical lattice is chosen to…

Quantum Gases · Physics 2018-02-14 Wei Zheng , Nigel R. Cooper

We study the dynamics of a 1D Bloch electron subjected to a constant electric field. The periodic potential is supposed to be less singular than the $\delta $-like potential (Dirac comb). We give a rigorous proof of Ao's result \cite{Ao}…

Mathematical Physics · Physics 2009-11-10 F. Bentosela , P. Duclos , G. Nenciu , V. Moldoveanu

We investigate the spectral and transport properties of a two-arm tight-binding ladder perturbed by an external magnetic field following an Aubry-Andr\'e-Harper profile. The varying magnetic flux trapped in consecutive ladder-cells…

Mesoscale and Nanoscale Physics · Physics 2020-10-05 Sk Sajid , Arunava Chakrabarti
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