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In the presence of time-reversal symmetry, quantum interference gives strong corrections to the electric conductivity of disordered systems. The self-interference of an electron wavefunction traveling time-reversed paths leads to effects…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Simon Gustavsson , Jonas Bylander , William D. Oliver

We study transport in topologically disordered networks that are subjected to an environment that induces classical diffusion. The dynamics is phenomenologically described within the framework of the recently introduced quantum stochastic…

Quantum Physics · Physics 2012-05-22 Petrus Schijven , Johannes Kohlberger , Alexander Blumen , Oliver Muelken

Periodically-driven quantum systems can exhibit topologically non-trivial behaviour, even when their quasi-energy bands have zero Chern numbers. Much work has been conducted on non-interacting quantum-mechanical models where this kind of…

Other Condensed Matter · Physics 2017-03-03 Callum W. Duncan , Patrik Ohberg , Manuel Valiente

We consider a system of nonlocal equations driven by a perturbed periodic potential. We construct multibump solutions that connect one integer point to another one in a prescribed way. In particular, heteroclinc, homoclinic and chaotic…

Analysis of PDEs · Mathematics 2016-08-24 Serena Dipierro , Stefania Patrizi , Enrico Valdinoci

In traditional approaches of obtaining quantized acoustoelectric current, a narrow channel is fabricated to form quantum dots, which hold a fixed number of electrons at a certain depth. We propose a natural way of forming quantum dots…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Xiang-Song Chen

An interplay between charge discreteness, coherent scattering and Coulomb interaction yields nontrivial effects in quantum transport. We derive a real time effective action and an equivalent quantum Langevin equation for an arbitrary…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Dmitrii S. Golubev , Andrei D. Zaikin

We describe a semiclassical method to calculate universal transport properties of chaotic cavities. While the energy-averaged conductance turns out governed by pairs of entrance-to-exit trajectories, the conductance variance, shot noise and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sebastian Müller , Stefan Heusler , Petr Braun , Fritz Haake

The quantum and classical dynamics of particles kicked by a gaussian attractive potential are studied. Classically, it is an open mixed system (the motion in some parts of the phase space is chaotic, and in some parts it is regular). The…

Quantum Physics · Physics 2013-08-30 Yevgeny Krivolapov , Shmuel Fishman , Edward Ott , Thomas M. Antonsen

Staring from the kicked rotator as a paradigm for a system exhibiting classical chaos, we discuss the role of quantum coherence resulting in dynamical localization in the kicked quantum rotator. In this context, the disorder-induced…

Statistical Mechanics · Physics 2023-07-19 L. Chotorlishvili , S. Stagraczyński , M. Schüler , J. Berakdar

Quantum mechanics still provides new unexpected effects when considering the transport of energy and information. Models of continuous time quantum walks, which implicitly use time-reversal symmetric Hamiltonians, have been intensely used…

Quantum Physics · Physics 2013-08-23 Zoltan Zimboras , Mauro Faccin , Zoltan Kadar , James Whitfield , Ben Lanyon , Jacob Biamonte

We illustrate how classical chaotic dynamics influences the quantum properties at mesoscopic scales. As a model case we study semiclassically coherent transport through ballistic mesoscopic systems within the Landauer formalism beyond the…

Mesoscale and Nanoscale Physics · Physics 2010-02-24 Daniel Waltner , Klaus Richter

The entanglement production in bipartite quantum systems is studied for initially unentangled product eigenstates of the subsystems, which are assumed to be quantum chaotic. Based on a perturbative computation of the Schmidt eigenvalues of…

We study the quantum chaotic dynamics of an initially well-localized wave packet in a cosine potential perturbed by an external time-dependent force. For our choice of initial condition and with $\hbar$ small but finite, we find that the…

Condensed Matter · Physics 2009-10-22 B. S. Helmkamp , D. A. Browne

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

Ratchet dynamics of topological solitons of the forced and damped discrete double sine-Gordon system are studied. Directed transport occurring both in regular and in chaotic regions of the phase space and its dependence on damping,…

Pattern Formation and Solitons · Physics 2015-05-22 J. Cuevas , B. Sánchez-Rey , M. Salerno

Despite the periodic kicks, a linear kicked rotor (LKR) is an integrable and exactly solvable model in which the kinetic energy term is linear in momentum. It was recently shown that spatially interacting LKRs are also integrable, and…

Quantum Physics · Physics 2025-08-11 Anjali Nambudiripad , J. Bharathi Kannan , M. S. Santhanam

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

We experimentally and numerically investigate the quantum accelerator mode dynamics of an atom optical realization of the quantum delta-kicked accelerator, whose classical dynamics are chaotic. Using a Ramsey-type experiment, we observe…

Atomic Physics · Physics 2009-11-07 S. Schlunk , M. B. d'Arcy , S. A. Gardiner , D. Cassettari , R. M. Godun , G. S. Summy

Quantum chaotic kicked top model is implemented experimentally in a two qubit system comprising of a pair of spin-1/2 nuclei using Nuclear Magnetic Resonance techniques. The essential nonlinear interaction was realized using indirect…

Quantum Physics · Physics 2021-08-12 V R Krithika , V S Anjusha , Udaysinh T. Bhosale , T. S. Mahesh

Introducing a class of SU(2) invariant quantum unitary circuits generating chiral transport, we examine the role of broken space-reflection and time-reversal symmetries on spin transport properties. Upon adjusting parameters of local…

Statistical Mechanics · Physics 2025-05-21 Lenart Zadnik , Marko Ljubotina , Žiga Krajnik , Enej Ilievski , Tomaž Prosen