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Related papers: Polaronic quantum diffusion in dynamic localizatio…

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Contrary to a driven classical system that exhibits chaos phenomena and diffusive energy growth, a driven quantum system can exhibit dynamical localization that features energy saturation. However, the evolution of the dynamically localized…

A quantum two-level system immersed in a sub-Ohmic bath experiences enhanced low-frequency quantum statistical fluctuations which render the nonequilibrium quantum dynamics highly non-Markovian. Upon using the numerically exact…

Statistical Mechanics · Physics 2022-09-20 Florian Otterpohl , Peter Nalbach , Michael Thorwart

We study the hopping transport of a quantum particle through randomly diluted percolation clusters in two dimensions realized both on the square and triangular lattices. We investigate the nature of localization of the particle by…

Disordered Systems and Neural Networks · Physics 2007-09-27 Md Fhokrul Islam , Hisao Nakanishi

The standard approach for path integral Monte Carlo simulations of open quantum systems is extended as an efficient tool to monitor the time evolution of coherences (off-diagonal elements of the reduced density matrix) also for strong…

Statistical Mechanics · Physics 2015-06-12 Denis Kast , Joachim Ankerhold

We study the electron dynamics in a 2D waveguide bounded by a periodically rippled surface in the presence of the time-periodic electric field. The main attention is paid to a possibility of a weak quantum diffusion along the coupling…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. Ya. Demikhovskii , F. M. Izrailev , A. I. Malyshev

We explore the impact of weak disorder on the dynamics of classical particles in a periodically oscillating lattice. It is demonstrated that the disorder induces a hopping process from diffusive to regular motion i.e. we observe the…

Chaotic Dynamics · Physics 2014-01-29 Thomas Wulf , Benno Liebchen , Peter Schmelcher

We study the dynamics of Bose-Einstein condensed atoms in a 1-D optical lattice potential in a regime where the collective (Josephson) tunneling energy is comparable with the on-site interaction energy, and the number of particles per…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. K. Tuchman , W. Li , H. Chien , S. Dettmer , M. A. Kasevich

The random hopping models exhibit many fascinating features, such as diverging localization length and density of states as energy approaches the bandcenter, due to its particle-hole symmetry. Nevertheless, such models are yet to be…

Quantum Gases · Physics 2012-02-22 Yue Zou , Ryan Barnett , Gil Refael

We consider a finite-size periodically driven quantum system of coupled kicked rotors which exhibits two distinct regimes in parameter space: a dynamically-localized one with kinetic-energy saturation in time and a chaotic one with…

Quantum Gases · Physics 2020-03-02 Simone Notarnicola , Alessandro Silva , Rosario Fazio , Angelo Russomanno

While there are many physical processes showing subdiffusion and some useful particle models for understanding the underlying mechanisms have been established, a systematic study of subdiffusive energy transport is still lacking. Here we…

Statistical Mechanics · Physics 2022-10-05 Daxing Xiong , Jianjin Wang

We consider the dynamics of rotational excitations placed on a single molecule in spatially disordered 1D, 2D and 3D ensembles of ultracold molecules trapped in optical lattices. The disorder arises from incomplete populations of optical…

Quantum Gases · Physics 2015-07-14 Tianrui Xu , Roman V. Krems

We study the dynamics of cold atoms subjected to {\em pairs} of closely time-spaced $\delta$-kicks from standing waves of light. The classical phase space of this system is partitioned into momentum cells separated by trapping regions. In a…

Atomic Physics · Physics 2015-06-26 Jiao Wang , Antonio M. Garcia-Garcia

We investigate the localization transition of interacting particles in a one-dimensional correlated disorder system. The disorder which we investigate allows for vanishing backwards scattering processes. We derive by two renormalization…

Disordered Systems and Neural Networks · Physics 2026-05-12 Giacomo Morpurgo , Laurent Sanchez-Palencia , Thierry Giamarchi

We consider transport through a vibrating molecular quantum dot contacted to macroscopic leads acting as charge reservoirs. In the equilibrium and nonequilibrium regime, we study the formation of a polaron-like transient state at the…

Strongly Correlated Electrons · Physics 2015-06-04 T. Koch , H. Fehske , J. Loos

We theoretically study the dipolar motion of bosonic atoms in a very shallow, strongly confined 1D optical lattice using the parameters of the recent experiment [Fertig et al., Phys. Rev. Lett. 94, 220402 (2005)]. We find that, due to…

Statistical Mechanics · Physics 2009-11-11 J. Ruostekoski , L. Isella

We consider the dynamics of strongly localized systems subject to dephasing noise with arbitrary correlation time. Although noise inevitably induces delocalization, transport in the noise-induced delocalized phase is subdiffusive in a…

Disordered Systems and Neural Networks · Physics 2017-07-28 Sarang Gopalakrishnan , K. Ranjibul Islam , Michael Knap

We investigate the behavior of ultracold bosons in optical lattices with a disorder potential generated via a secondary species frozen in random configurations. The statistics of disorder is associated with the physical state in which the…

Strongly Correlated Electrons · Physics 2009-11-13 Birger Horstmann , Juan Ignacio Cirac , Tommaso Roscilde

We present some recent results concerning the persistence of dynamical localization for disordered systems of n particles under weak interactions.

Mathematical Physics · Physics 2017-08-23 Michael Aizenman , Simone Warzel

Spatial diffusion of particles in periodic potential models has provided a good framework for studying the role of chaos in global properties of classical systems. Here a bidimensional "soft" billiard, classically modeled from an optical…

Statistical Mechanics · Physics 2022-05-16 Matheus J. Lazarotto , Iberê L. Caldas , Yves Elskens

We numerically study a one dimensional, nonlinear lattice model which in the linear limit is relevant to the study of bending (flexural) waves. In contrast with the classic one dimensional mass-spring system, the linear dispersion relation…

Statistical Mechanics · Physics 2022-02-16 Arnold Ngapasare , Geogios Theocharis , Olivier Richoux , Vassos Achilleos , Charalampos Skokos