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Control over the quantum dynamics of chaotic kicked rotor systems is demonstrated. Specifically, control over a number of quantum coherent phenomena is achieved by a simple modification of the kicking field. These include the enhancement of…

量子物理 · 物理学 2009-11-10 Jiangbin Gong , Hans Jakob Worner , Paul Brumer

A system of quantum computing structures is introduced and proven capable of making emerge, on average, the orbits of classical bounded nonlinear maps on \mathbb{C} through the iterative action of path-dependent quantum gates. The effects…

混沌动力学 · 物理学 2012-08-14 Carlos Pedro Gonçalves

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…

量子物理 · 物理学 2025-08-11 Anjali Nambudiripad , J. Bharathi Kannan , M. S. Santhanam

Decoherence in quantum systems which are classically chaotic is studied. The Arnold cat map and the quantum kicked rotor are chosen as examples of linear and nonlinear chaotic systems. The Feynman-Vernon influence functional formalism is…

chao-dyn · 物理学 2009-10-28 K. Shiokawa , B. L. Hu

When applied to dynamical systems, both classical and quantum, time periodic modulations can produce complex non-equilibrium states which are often termed 'chaotic`. Being well understood within the unitary Hamiltonian framework, this…

量子物理 · 物理学 2024-06-19 I. I. Yusipov , S. V. Denisov , M. V. Ivanchenko

The understanding of how classical dynamics can emerge in closed quantum systems is a problem of fundamental importance. Remarkably, while classical behavior usually arises from coupling to thermal fluctuations or random spectral noise, it…

量子气体 · 物理学 2013-05-09 Bryce Gadway , Jeremy Reeves , Ludwig Krinner , Dominik Schneble

We show that some classically chaotic quantum systems uncoupled from noisy environments may generate intrinsic decoherence with all its associated effects. In particular, we have observed time irreversibility and high sensitivity to small…

量子物理 · 物理学 2007-05-23 A. C. Sicardi Shifino , G. Abal , R. Siri , A. Romanelli , R. Donangelo

Bose-Einstein condensates subject to short pulses (`kicks') from standing waves of light represent a nonlinear analogue of the well-known chaos paradigm, the quantum kicked rotor. Previous studies of the onset of dynamical instability (ie…

量子物理 · 物理学 2009-11-13 J. Reslen , C. E. Creffield , T. S. Monteiro

We investigate a 2-spin quantum Turing architecture, in which discrete local rotations \alpha_m of the Turing head spin alternate with quantum controlled NOT-operations. We demonstrate that a single chaotic parameter input \alpha_m leads to…

量子物理 · 物理学 2009-10-31 Ilki Kim , Guenter Mahler

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…

量子物理 · 物理学 2007-05-23 B. Levi , B. Georgeot , D. L. Shepelyansky

We study the dynamics of the entanglement between two qubits coupled to a common chaotic environment, described by the quantum kicked rotator model. We show that the kicked rotator, which is a single-particle deterministic dynamical system,…

量子物理 · 物理学 2007-05-23 Davide Rossini , Giuliano Benenti , Giulio Casati

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…

量子物理 · 物理学 2017-02-01 Jean Claude Garreau

Quantum mechanical behavior of coupled N-kicked rotators is studied. In the large N limit each rotator evolves under influence of the mean-field generated by surrounding rotators. It is found that the system spontaneously generates…

chao-dyn · 物理学 2007-05-23 N. Tsuda , T. Yukawa

We propose a coarse-grained picture to analyze control problems for quantum chaos systems. Using optimal control theory, we first show that almost perfect control is achieved for random matrix systems and a quantum kicked rotor. Second,…

混沌动力学 · 物理学 2007-05-23 Toshiya Takami , Hiroshi Fujisaki , Takayuki Miyadera

We numerically study quantum chaos properties of long-range XXZ dipolar Hamiltonian spin systems. Two geometries are considered: (i) an open chain with 19 spins, (ii) a face-centered cubic lattice with 14 spins. Energy level-spacing…

量子物理 · 物理学 2017-11-07 Dhrubo Jyoti

The classical and quantum dynamics of two ultra-strongly coupled and weakly nonlinear resonators cannot be explained using the Discrete Nonlinear Schr\"odinger Equation or the Bose-Hubbard model, respectively. Instead, a model beyond the…

量子物理 · 物理学 2014-03-13 Uta Naether , Juan José García-Ripoll , Juan José Mazo , David Zueco

We study the dynamics of a "kicked" quantum system undergoing repeated measurements of momentum. A diffusive behavior is obtained for a large class of Hamiltonians, even when the dynamics of the classical counterpart is not chaotic. These…

量子物理 · 物理学 2007-05-23 P. Facchi , S. Pascazio , A. Scardicchio

Extensive coherent control over quantum chaotic diffusion using the kicked rotor model is demonstrated and its origin in deviations from random matrix theory is identified. Further, the extent of control in the presence of external…

量子物理 · 物理学 2009-11-06 Jiangbin Gong , Paul Brumer

One of the principal goals of controlling classical chaotic dynamical systems is known as targeting, which is the very weakly perturbative process of using the system's extreme sensitivity to initial conditions in order to arrive at a…

混沌动力学 · 物理学 2023-01-25 Steven Tomsovic , Juan Diego Urbina , Klaus Richter

It was recently shown (quant-ph/9909074) that parasitic random interactions between the qubits in a quantum computer can induce quantum chaos and put into question the operability of a quantum computer. In this work I investigate whether…

量子物理 · 物理学 2009-11-07 Daniel Braun