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Floquet theory provides rigorous foundations for the theory of periodically driven quantum systems. In the case of non-periodic driving, however, the situation is not so well understood. Here, we provide a critical review of the theoretical…

Quantum Physics · Physics 2016-11-23 Albert Verdeny , Joaquim Puig , Florian Mintert

Universal quantum simulation may provide insights into those many-body systems that cannot be described classically, and that cannot be efficiently simulated with current technology. The Trotter formula, which decomposes a desired unitary…

Quantum Physics · Physics 2015-06-09 George C. Knee , William J. Munro

The ratchet phenomenon is a means to get directed transport without net forces. Originally conceived to rectify stochastic motion and describe operational principles of biological motors, the ratchet effect can be used to achieve…

Quantum Gases · Physics 2016-03-11 Christopher Grossert , Martin Leder , Sergey Denisov , Peter Hänggi , Martin Weitz

We investigate dynamical tunneling in many dimensional systems using a quasi-periodically modulated kicked rotor, and find that the tunneling rate from the torus to the chaotic region is drastically enhanced when the chaotic states become…

Chaotic Dynamics · Physics 2010-06-04 Akiyuki Ishikawa , Atushi Tanaka , Akira Shudo

Ultracold atomic physics experiments offer a nearly ideal context for the investigation of quantum systems far from equilibrium. We describe three related emerging directions of research into extreme non-equilibrium phenomena in atom traps:…

Using the multilayer convolutional neural network (CNN), we can detect the quantum phases in random electron systems, and phase diagrams of two and higher dimensional Anderson transitions and quantum percolations as well as disordered…

Disordered Systems and Neural Networks · Physics 2021-05-11 Tomohiro Mano , Tomi Ohtsuki

Recent advances in the field of quantum technologies have opened up the road for the realization of small-scale quantum simulators of lattice gauge theories which, among other goals, aim at improving our understanding on the…

Quantum Gases · Physics 2025-11-04 Enrico C. Domanti , Dario Zappalà , Alejandro Bermudez , Luigi Amico

We observe and study the phenomenon of Anderson localization in a system of true quantum kicked rotors. Nitrogen molecules in a supersonic molecular jet are cooled down to 27~K and are rotationally excited by a periodic train of…

Quantum Physics · Physics 2016-10-05 Martin Bitter , Valery Milner

In a cold atom gas subject to a 2D spin-dependent optical lattice potential with hexagonal symmetry, trapped atoms undergo orbital motion around the potential minima. Such atoms are elementary quantum rotors. We develop the theory of such…

Quantum Physics · Physics 2019-10-14 I. Kuzmenko , T. Kuzmenko , Y. Avishai , Y. B. Band

A particle in an Anderson-localized system, if launched in any direction, should on average return to its starting point and stay there. Despite the central role played by Anderson localization in the modern understanding of condensed…

We study the effect of pulsed driving and kicked driving of the interaction term on the non-equilibrium phase transition in the Dicke Model. Within the framework of Floquet theory, we observe the emergence of new non-trivial phases on…

Statistical Mechanics · Physics 2015-05-26 Sayak Dasgupta , Utso Bhattacharya , Amit Dutta

Quantum simulation elucidates properties of quantum many-body systems by mapping its Hamiltonian to a better-controlled system. Being less stringent than a universal quantum computer, noisy small- and intermediate-scale quantum simulators…

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

Digital quantum computers offer a promising route for studying complex many-body systems that are otherwise inaccessible by their classical counterparts. Capabilities including mid-circuit measurements and feedback allow for simulating the…

We show that dissipative classical dynamics converging to a strange attractor can be simulated on a quantum computer. Such quantum computations allow to investigate efficiently the small scale structure of strange attractors, yielding new…

Quantum Physics · Physics 2009-11-07 M. Terraneo , B. Georgeot , D. L. Shepelyansky

Rydberg atom quantum simulator platforms are novel quantum simulators for physical systems ranging from condensed matter to particle physics. In this paper, we study out-of-equilibrium quantum dynamics in a model of Rydberg atoms arranged…

Quantum Physics · Physics 2026-03-17 Mainak Pal , Tista Banerjee

Quantum simulation provides quantum systems under study with analogous controllable quantum systems and has wide applications from condensed-matter physics to high energy physics and to cosmology. The quantum system of a homogeneous and…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Sang Pyo Kim

The quantum ratchet current is studied in the parameter space of the dissipative kicked rotor model coupled to a zero temperature quantum environment. We show that vacuum fluctuations blur the generic isoperiodic stable structures found in…

Chaotic Dynamics · Physics 2015-05-15 M. W. Beims , M. Schlesinger , C. Manchein , A. Celestino , A. Pernice , W. T. Strunz

Anderson localization is a general phenomenon that applies to a variety of disordered physical systems. Recently, a novel manifestation of Anderson localization for wave packets launched with a finite average velocity was proposed, the…

Disordered Systems and Neural Networks · Physics 2022-11-08 Flavio Noronha , José A. S. Lourenço , Tommaso Macrì