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We numerically study the dynamics of cold atoms in a two-dimensional disordered potential. We consider an anisotropic speckle potential and focus on the classical regime, which is relevant to some recent experiments. First, we study the…

Chaotic tunneling in a driven double-well system is investigated in absence as well as in the presence of dissipation. As the constitutive mechanism of chaos-assisted tunneling, we focus on the dynamics in the vicinity of three-level…

Condensed Matter · Physics 2022-09-21 Peter Hanggi , Sigmund Kohler , Thomas Dittrich

In this PhD thesis, I investigate the properties of symmetry-breaking dynamical phase transitions that manifest in the fluctuations of time-integrated observables within classical systems. In particular, I analyze how these phase…

Statistical Mechanics · Physics 2024-04-08 Rubén Hurtado-Gutiérrez

A duality relation between the long-time dynamics of a quantum Brownian particle in a tilted ratchet potential and a driven dissipative tight-binding model is reported. It relates a situation of weak dissipation in one model to strong…

Mesoscale and Nanoscale Physics · Physics 2007-06-13 J. Peguiron , M. Grifoni

When time-reversal symmetry is broken, quantum coherent systems with and without spin rotational symmetry exhibit the same universal behavior in their electric transport properties. We show that spin transport discriminates between these…

Mesoscale and Nanoscale Physics · Physics 2013-07-30 Ph. Jacquod , I. Adagideli

We investigate the directed momentum current in the quantum kicked rotor model with $\mathcal{PT}$ symmetric deriving potential. For the quantum non-resonance case, the values of quasi-energy become to be complex when the strength of…

Quantum Physics · Physics 2019-06-06 Wen-Lei Zhao , Jiaozi Wang , Xiaohui Wang , Peiqing Tong

We study the appearance of directed energy current in homogeneous spatially extended systems coupled to a heat bath in the presence of an external ac field E(t). The systems are described by nonlinear field equations. By making use of a…

Pattern Formation and Solitons · Physics 2009-11-07 S. Flach , Y. Zolotaryuk , A. E. Miroshnichenko , M. V. Fistul

We analyze one-dimensional motion of an overdamped classical particle in the presence of external disorder potential and an arbitrary driving force F. In thermodynamical limit the effective force-dependent mobility mu(F) is self-averaging,…

Disordered Systems and Neural Networks · Physics 2007-05-23 Leonid P. Pryadko , Jing-Xian Lin

We study dynamical fluctuations in overdamped diffusion processes driven by time periodic forces. This is done by studying fluctuation functionals (rate functions from large deviation theory), of fluctuations around the non-equilibrium…

Statistical Mechanics · Physics 2010-03-18 Navinder Singh , Bram Wynants

A one dimensional trap model for a thermally activated classical particle is introduced to simulate driven dynamics in presence of "ageing" effects. The depth of each trap increases with the time elapsed since the particle has fallen into…

Statistical Mechanics · Physics 2009-10-31 Fabrice Thalmann

The quantum dynamics of two-level systems under classical oscillator heat bath is mapped to the classical one of a charged particle under harmonic oscillator potential plus a magnetic field in a plane. The behavior of eigenstates and…

Condensed Matter · Physics 2008-02-03 Mo-lin Ge , Lei Wang

We demonstrate that repulsive power law interactions can induce directed transport of particles in dissipative, ac-driven periodic potentials, in regimes where the underlying noninteracting system exhibits localized oscillations.…

Pattern Formation and Solitons · Physics 2016-08-19 Benno Liebchen , Peter Schmelcher

In this review paper we aim at illustrating recent achievements in anomalous heat diffusion, while highlighting open problems and research perspectives. We briefly recall the main features of the phenomenon for low-dimensional classical…

Statistical Mechanics · Physics 2020-09-18 Giuliano Benenti , Stefano Lepri , Roberto Livi

Dynamical phase transitions (DPTs) in the space of trajectories are one of the most intriguing phenomena of nonequilibrium physics, but their nature in realistic high-dimensional systems remains puzzling. Here we observe for the first time…

Statistical Mechanics · Physics 2017-09-07 N. Tizón-Escamilla , C. Pérez-Espigares , P. L. Garrido , P. I. Hurtado

We analyze the performance of quantum ratchets by considering the dynamics of an initially localized wave packet loaded into a flashing periodic potential. The directed center-of-mass motion can be initiated by the uniform modulation of the…

Quantum Gases · Physics 2011-10-12 Fei Zhan , S. Denisov , A. V. Ponomarev , P. Hänggi

We introduce a class of one-dimensional lattice models in which a quantity, that may be thought of as an energy, is either transported from one site to a neighbouring one, or locally dissipated. Transport is controlled by a continuous bias…

Statistical Mechanics · Physics 2007-05-23 Eric Bertin

The fragmentation of diatomic molecules under a stochastic force is investigated both classically and quantum mechanically, focussing on their dissociation probabilities. It is found that the quantum system is more robust than the classical…

Atomic Physics · Physics 2009-11-11 Anatole Kenfack , Jan M Rost

Quantum transport is strongly influenced by interference with phase relations that depend sensitively on the scattering medium. Since even small changes in the geometry of the medium can turn constructive interference to destructive, a…

Quantum Physics · Physics 2015-03-10 Stefano Mostarda , Federico Levi , Diego Prada-Gracia , Florian Mintert , Francesco Rao

The interplay between chaotic tunneling and dynamical localization in mixed phase space is investigated. Semiclassical analysis using complex classical orbits reveals that tunneling through torus regions and transport in chaotic regions are…

Chaotic Dynamics · Physics 2009-10-09 Akiyuki Ishikawa , Atushi Tanaka , Akira Shudo

We present a theoretical and numerical study of the competition between two opposite interference effects, namely interference-induced ballistic transport on one hand, and strong (Anderson) localization on the other. While the former effect…

Quantum Physics · Physics 2021-03-04 Adrian Ortega , Thomas Gorin , Craig S. Hamilton