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This paper reviews the physics of quantum disorder in relation with a series of experiments using laser-cooled atoms exposed to "kicks" of a standing wave, realizing a paradigmatic model of quantum chaos, the kicked rotor. This dynamical…

Quantum Physics · Physics 2017-02-01 Jean Claude Garreau

We realize experimentally an atom-optics quantum chaotic system, the quasiperiodic kicked rotor, which is equivalent to a 3D disordered system, that allow us to demonstrate the Anderson metal-insulator transition. Sensitive measurements of…

The kicked rotor provides a simple yet powerful model for introducing many of the central concepts of classical and quantum chaos. Despite its apparent simplicity, it exhibits rich dynamical behavior and has found applications across a wide…

Quantum Physics · Physics 2026-04-23 Giuliano Benenti , Giulio Casati , Jiangbin Gong , Zhixing Zou

We investigate a quantum algorithm which simulates efficiently the quantum kicked rotator model, a system which displays rich physical properties, and enables to study problems of quantum chaos, atomic physics and localization of electrons…

Quantum Physics · Physics 2007-05-23 B. Levi , B. Georgeot , D. L. Shepelyansky

We propose and analyze an experimental scheme using the quantum kicked rotor to observe the newly-predicted coherent forward scattering peak together with its long-known twin brother, the coherent backscattering peak. Contrary to coherent…

Quantum Gases · Physics 2017-05-03 Gabriel Lemarié , Cord A. Müller , David Guéry-Odelin , Christian Miniatura

We investigate the possibility of an Anderson type transition in the quantum kicked rotor with a smooth potential due to dynamical localization of the wavefunctions. Our results show the typical characteristics of a critical behavior i.e…

Disordered Systems and Neural Networks · Physics 2009-11-13 Rina Dutta , Pragya Shukla

The quantum kicked rotor (QKR) driven by $d$ incommensurate frequencies realizes the universality class of $d$-dimensional disordered metals. For $d>3$, the system exhibits an Anderson metal-insulator transition which has been observed…

Statistical Mechanics · Physics 2014-05-14 Jiao Wang , Chushun Tian , Alexander Altland

Periodically kicked Floquet systems such as the kicked rotor are a paradigmatic and illustrative simple model of chaos. For non-integrable quantum dynamics there are several diagnostic measures of the presence of (or the transition to)…

Quantum Physics · Physics 2024-11-11 Amin A. Nizami

We experimentally demonstrate a method for selecting small regions of phase space for kicked rotor quantum chaos experiments with cold atoms. Our technique uses quantum accelerator modes to selectively accelerate atomic wavepackets with…

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

The quantum kicked rotor is a paradigmatic model system in quantum physics. As a driven quantum system, it is used to study the transition from the classical to the quantum world and to elucidate the emergence of chaos and diffusion. In…

We report on an experimental realization of unidirectional transporting island structures in an otherwise chaotic phase space of the delta-kicked rotor system. Using a Bose-Einstein Condensate as a source of ultracold atoms, we employ…

Atomic Physics · Physics 2013-12-16 D. H. White , S. K. Ruddell , M. D. Hoogerland

We develop a system consisting of a quantum kicked rotor with an additional degree of freedom. This models a single two-level atom with internal ground and excited states, and it is characterized by its quantum resonances with ballistic…

Quantum Physics · Physics 2015-06-11 Guzmán Hernández , Alejandro Romanelli

We show that quantum wavepackets exhibit a sharp macroscopic peak as they spread in the vicinity of the critical point of the Anderson transition. The peak gives a direct access to the mutifractal properties of the wavefunctions and…

Disordered Systems and Neural Networks · Physics 2019-10-30 Panayotis Akridas-Morel , Nicolas Cherroret , Dominique Delande

We experimentally demonstrate coherent control of a quantum system, whose dynamics is chaotic in the classical limit. Interaction of diatomic molecules with a periodic sequence of ultrashort laser pulses leads to the dynamical localization…

Quantum Physics · Physics 2017-01-25 Martin Bitter , Valery Milner

We study the mechanisms responsible for quantum diffusion in the quasiperiodic kicked rotor. We report experimental measurements of the diffusion constant on the atomic version of the system and develop a theoretical approach (based on the…

Quantum Physics · Physics 2007-05-23 Hans Lignier , Jean Claude Garreau , Pascal Szriftgiser , Dominique Delande

We present a concrete theoretical proposal for detecting topological phase transitions in double kicked atom-optics kicked rotors with internal spin-1/2 degree of freedom. The implementation utilizes a kicked Bose-Einstein condensate…

We propose two experimentally feasible methods based on atom interferometry to measure the quantum state of the kicked rotor.

Quantum Physics · Physics 2009-11-07 M. Bienert , F. Haug , W. P. Schleich , M. G. Raizen

We present a quantum algorithm which simulates the quantum kicked rotator model exponentially faster than classical algorithms. This shows that important physical problems of quantum chaos, localization and Anderson transition can be…

Quantum Physics · Physics 2009-11-06 B. Georgeot , D. L. Shepelyansky

By employing a nonlinear quantum kicked rotor model, we investigate the transport of energy in multidimensional quantum chaos. Parallel numerical simulations and analytic theory demonstrate that the interplay between nonlinearity and…

Disordered Systems and Neural Networks · Physics 2013-01-23 D. S. Brambila , A. Fratalocchi

The quantum kicked rotor is investigated by field theoretical methods. It is shown that the effective theory describing the long wave length physics of the system is precisely the supersymmetric nonlinear sigma-model for quasi…

chao-dyn · Physics 2010-11-19 Alexander Altland , Martin R. Zirnbauer
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