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It is widely recognized that entanglement generation and dynamical chaos are intimately related in semiclassical models via the process of decoherence. In this work, we propose a unifying framework which directly connects the bipartite and…

Quantum Physics · Physics 2020-09-16 Alessio Lerose , Silvia Pappalardi

We investigate the quantum phase transition in the anisotropic Dicke model through an examination of the quantum geometric tensor of the ground state. In this analysis, two distinct classical limits exhibit their unique anisotropic…

Quantum Physics · Physics 2024-06-11 Xin Zhu , Jia-Hao Lü , Wen Ning , Li-Tuo Shen , Fan Wu , Zhen-Biao Yang

We study the universal fluctuations of the Wigner-Smith time delay for systems which exhibit chaotic dynamics in their classical limit. We present a new derivation of the semiclassical relation of the quantum time delay to properties of the…

chao-dyn · Physics 2009-10-30 R. O. Vallejos , A. M. Ozorio de Almeida , C. H. Lewenkopf

A recent proposal (see quant-ph/9803068) to simulate semiclassical corrections to classical dynamics by suitable classical stochastic fluctuations is applied to the specific instance of charged beam dynamics in particle accelerators. The…

Accelerator Physics · Physics 2007-05-23 Salvatore De Martino , Silvio De Siena , Fabrizio Illuminati

Neutron scattering is frequently used to look for evidence of features indicative of quantum-entangled phases of matter such as continua from fractionalisation or quantised excitations. However, the non-specificity of these features and…

Strongly Correlated Electrons · Physics 2025-01-08 Harry Lane , Kipton Barros , Martin Mourigal

Long-lasting quantum exponential spreading was recently found in a simple but very rich dynamical model, namely, an on-resonance double-kicked rotor model [J. Wang, I. Guarneri, G. Casati, and J. B. Gong, Phys. Rev. Lett. 107, 234104…

Chaotic Dynamics · Physics 2013-12-04 Hailong Wang , Jiao Wang , Italo Guarneri , Giulio Casati , Jiangbin Gong

Using a cold atomic gas exposed to laser pulses -- a realization of the chaotic quasiperiodic kicked rotor with three incommensurate frequencies -- we study experimentally and theoretically the Anderson metal-insulator transition in three…

This paper concerns the classical dynamics of three coupled rotors: equal masses moving on a circle subject to attractive cosine inter-particle potentials. It is a simpler variant of the gravitational three-body problem and also arises as…

Chaotic Dynamics · Physics 2019-12-24 Govind S. Krishnaswami , Himalaya Senapati

We study the dynamics of a one-dimensional classical particle in a space and time dependent potential with randomly chosen parameters. The focus of this work is a quasi-periodic potential, which only includes a finite number of Fourier…

Statistical Mechanics · Physics 2015-06-19 Yaniv Tenenbaum Katan , Tal Kachman , Shmuel Fishman , Avy Soffer

We study quantum kicked rotator in the classically fully chaotic regime, in the domain of the semiclassical behaviour. We use Izrailev's N-dimensional model for various N<=4000, which in the limit N-> infinity tends to the quantized kicked…

Chaotic Dynamics · Physics 2013-12-31 Thanos Manos , Marko Robnik

The phenomenological Landau theory of the spin precession has been used to reproduce the out-of-equilibrium properties of many magnetic systems. However, such an approach suffers from some serious limitations. The main reason is that the…

Mesoscale and Nanoscale Physics · Physics 2016-06-20 O. Morandi

We study a chaotic quantum transport in the presence of a weak spin-orbit interaction. Our theory covers the whole symmetry crossover regime between time-reversal invariant systems with and without a spin-orbit interaction. This situation…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Keiji Saito , Taro Nagao

A genuinely three-dimensional system, viz. the hyperbolic 4-sphere scattering system, is investigated with classical, semiclassical, and quantum mechanical methods at various center-to-center separations of the spheres. The efficiency and…

Chaotic Dynamics · Physics 2009-11-10 J. Main , E. Atilgan , H. S. Taylor , G. Wunner

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

The quantum dynamics of many-qubit systems is an outstanding problem that has recently driven significant advances in both numerical methods and programmable quantum processing units. In this work, we employ a comprehensive toolbox of…

A perturbation method to analytically describe the dynamics of a classical spinning particle, based on the Mathisson-Papapetrou-Dixon (MPD) equations of motion, is presented. By a power series expansion with respect to the particle's spin…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Dinesh Singh

We study a quantum oscillator interacting and back-reacting on a classical oscillator. This can be done consistently provided the quantum system decoheres, while the backreaction has a stochastic component which causes the classical system…

Quantum Physics · Physics 2025-04-24 Muhammad Sajjad , Andrea Russo , Maite Arcos , Andrzej Grudka , Jonathan Oppenheim

We investigate decoherence in the quantum kicked rotator (modelling cold atoms in a pulsed optical field) subjected to noise with power-law tail waiting-time distributions of variable exponent (Levy noise). We demonstrate the existence of a…

Quantum Physics · Physics 2007-08-01 Henning Schomerus , Eric Lutz

As demonstrated in our previous work [J. Chem. Phys. 149, 174109 (2018)], the kinetic energy imparted to a quantum rotor by a non-resonant electromagnetic pulse with a Gaussian temporal profile exhibits quasi-periodic drops as a function of…

Quantum Physics · Physics 2021-12-22 Mallikarjun Karra , Bretislav Friedrich , Burkhard Schmidt

We present an approach of the kicked rotor quantum resonances in position-space, based on its analogy with the optical Talbot effect. This approach leads to a very simple picture of the physical mechanism underlying the dynamics and to…

Quantum Physics · Physics 2008-04-25 Maxence Lepers , Véronique Zehnlé , Jean Claude Garreau