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We study Anderson localization and propagation of partially-spatially incoherent wavepackets in linear disordered potentials, motivated by the insight that interference phenomena resulting from multiple scattering are affected by the…

Optics · Physics 2015-05-27 D. Čapeta , J. Radić , A. Szameit , M. Segev , H. Buljan

The dynamics of a one dimensional quantum walker on the lattice with two internal degrees of freedom, the coin states, is considered. The discrete time unitary dynamics is determined by the repeated action of a coin operator in U(2) on the…

Mathematical Physics · Physics 2010-04-26 Alain Joye , Marco Merkli

Quantum lattices are pivotal in the burgeoning fields of quantum materials and information science. Rapid developments in microscopy and quantum engineering allow for preparing and monitoring wave-packet dynamics on quantum lattices with…

Quantum Physics · Physics 2024-01-03 Ilia Tutunnikov , Chern Chuang , Jianshu Cao

The aim of this work is to study the dynamics of quantum systems subjected to a localized fermionic source in the presence of bulk dephasing. We consider two classes of one-dimensional lattice systems: (i) a non-interacting lattice with…

Quantum Physics · Physics 2025-11-04 Tamoghna Ray , Katha Ganguly , Dario Poletti , Manas Kulkarni , Bijay Kumar Agarwalla

We investigate the wave function of electrons and holes injected by voltage pulses with non-integer flux quantum. We find that the wave function can be delocalized in the time domain, which is measured by using the inverse participation…

Mesoscale and Nanoscale Physics · Physics 2024-12-02 Y. Yin

Anderson localization predicts that wave spreading in disordered lattices can come to a complete halt, providing a universal mechanism for {dynamical localization}. In the one-dimensional Hermitian Anderson model with uncorrelated diagonal…

Disordered Systems and Neural Networks · Physics 2023-04-18 Stefano Longhi

The generalization of the dimer model on a two-leg ladder is defined and investigated both, analytically and numerically. For the closed system we calculate the Landauer resistance analytically and found the presence of the point of…

Disordered Systems and Neural Networks · Physics 2007-05-23 T. Sedrakyan , A. Ossipov

We investigate the localization properties of a one-dimensional bichromatic optical lattice in the tight binding regime, by discussing how exponentially localized states emerge upon changing the degree of commensurability. We also review…

Other Condensed Matter · Physics 2015-02-26 Michele Modugno

We show that, when a spatially localised electric pulse is applied at the edge of a quantum spin Hall system, electron wavepackets of the helical states can be photoexcited by purely intra-branch electrical transitions, without invoking the…

Mesoscale and Nanoscale Physics · Physics 2016-10-14 Fabrizio Dolcini , Rita Claudia Iotti , Arianna Montorsi , Fausto Rossi

We examine quantum percolation on a square lattice with random dilution up to $q=38%$ and energy $0.001 \le E \le 1.6$ (measured in units of the hopping matrix element), using numerical calculations of the transmission coefficient at a much…

Statistical Mechanics · Physics 2016-04-08 Brianna S. Dillon , Hisao Nakanishi

The standard one-parameter scaling theory predicts that all eigenstates in two-dimensional random lattices are weakly localized. We show that this claim fails in two-dimensional dipolar Frenkel exciton systems. The linear energy dispersion…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. Rodriguez , M. A. Martin-Delgado , J. Rodriguez-Laguna , G. Sierra , V. A. Malyshev , F. Dominguez-Adame , J. P. Lemaistre

We study a quasi-Floquet state of a $\delta$-kicked rotor with absorbing boundaries focusing on the nature of the dynamical localization in open quantum systems. The localization lengths $\xi$ of lossy quasi-Floquet states located near the…

Quantum Physics · Physics 2009-11-13 Jung-Wan Ryu , G. Hur , Sang Wook Kim

We show that dynamical localization for excited hydrogen atoms in magnetic and microwave fields takes place at quite low microwave frequency much lower than the Kepler frequency. The estimates of localization length are given for different…

Condensed Matter · Physics 2009-10-28 Francesco Benvenuto , Giulio Casati , Dima L. Shepelyansky

The spontaneous emission rate of dipole emitters close to plasmonic dimers are theoretically studied within a nonlocal hydrodynamic model. A nonlocal model has to be used since quantum emitters in the immediate environment of a metallic…

Continuous One-dimensional models supporting extended states are studied. These delocalized statesoccur at well defined values of the energy and are consequences of simple statistical correlation rules. We explicitly study alloys of…

Disordered Systems and Neural Networks · Physics 2009-10-30 M. Hilke , J. C. Flores

We study temporal oscillations, known as dynamical beats, developed by a propagating pulse due to its interaction with a near-resonant collective medium of $^{133}$Cs atoms randomly captured by a nanofiber-based optical lattice. A…

We study several lattice random walk models with stochastic resetting to previously visited sites which exhibit a phase transition between an anomalous diffusive regime and a localization regime where diffusion is suppressed. The localized…

Statistical Mechanics · Physics 2020-01-27 Denis Boyer , Andrea Falcón-Cortés , Luca Giuggioli , Satya N. Majumdar

This paper presents a formalism describing the dynamics of a quantum particle in a one-dimensional, time-dependent, tilted lattice. The formalism uses the Wannier-Stark states, which are localized in each site of the lattice, and provides a…

Quantum Physics · Physics 2007-05-23 Quentin Thommen , Jean Claude Garreau , Veronique Zehnle

We investigate the localization transition in fractionally charged electron wave packets, which is injected into a quantum conductor by a single voltage pulse with arbitrary flux quantum. We show that the transition is unidirectional for…

Mesoscale and Nanoscale Physics · Physics 2025-09-17 Y. Yin

Quantum interference can terminate energy growth in a continually kicked system, via a single-particle ergodicity-breaking mechanism known as dynamical localization. The effect of many-body interactions on dynamically localized states,…