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An approach to study a generalization of the classical-quantum transition for general systems is proposed. In order to develop the idea, a deformation of the ladder operators algebra is proposed that contains a realization of the quantum…

高能物理 - 理论 · 物理学 2020-08-26 Jose L. Cortes , J. Gamboa

Correspondence in quantum chaotic systems is lost in short time scales. Introducing some noise we study the spectrum of the resulting coarse grained propagaor of density matrices. Some differen methods to compute the spectrum are reviewed.…

量子物理 · 物理学 2009-11-11 Ignacio Garcia-Mata , Marcos Saraceno

Experimentally, certain degrees of freedom may appear classical because their quantum fluctuations are smaller than the experimental error associated with measuring them. An approximation to a fully quantum theory is described in which the…

量子物理 · 物理学 2007-05-23 Arlen Anderson

We analyze the multitime statistics associated with pure dephasing systems repeatedly probed with sharp measurements, and search for measurement protocols whose statistics satisfies the Kolmogorov consistency conditions possibly up to a…

量子物理 · 物理学 2022-12-20 Davide Lonigro , Dariusz Chruściński

We reveal universal dynamical scaling behavior across adiabatic quantum phase transitions (QPTs) in networks ranging from traditional spatial systems (Ising model) to fully connected ones (Dicke and Lipkin-Meshkov-Glick models). Our…

量子物理 · 物理学 2015-06-18 O. L. Acevedo , L. Quiroga , F. J. Rodríguez , N. F. Johnson

We investigate the performance of a quantum algorithm for solving classical 3-SAT problems. A cycle of post-selected measurements drives the computer's register monotonically toward a steady state which is correlated to the classical…

量子物理 · 物理学 2017-11-09 Simon C. Benjamin , Liming Zhao , Joseph F. Fitzsimons

The spectral properties of interacting strongly chaotic systems are investigated for growing interaction strength. A very sensitive transition from Poisson statistics to that of random matrix theory is found. We introduce a new random…

In the present report we discuss measures of classicality/quantumness of states of finite-dimensional quantum systems, which are based on a deviation of quasiprobability distributions from true statistical distributions. Particularly, the…

量子物理 · 物理学 2020-10-28 N. Abbasli , V. Abgaryan , M. Bures , A. Khvedelidze , I. Rogojin , A. Torosyan

For many classically chaotic systems, it is believed that in the semiclassical limit, the matrix elements of smooth observables approach the phase space average of the observable. In the approach to the limit the matrix elements can…

数学物理 · 物理学 2007-05-23 Dubi Kelmer

We study the response of the quasi-energy levels in the context of quantized chaotic systems through the level velocity variance and relate them to classical diffusion coefficients using detailed semiclassical analysis. The systematic…

chao-dyn · 物理学 2009-10-31 Arul Lakshminarayan , Nicholas R. Cerruti , Steven Tomsovic

An algorithm to characterize collective motion is presented, with the introduction of ``collective Lyapunov exponent'', as the orbital instability at a macroscopic level. By applying the algorithm to a globally coupled map, existence of…

chao-dyn · 物理学 2009-10-31 Tatsuo Shibata , Kunihiko Kaneko

We analyze the quantum to classical transition of the order parameter in second order phase transitions. We consider several toy models in non relativistic quantum mechanics. We study the dynamical evolution of a wave packet initially…

高能物理 - 唯象学 · 物理学 2009-10-31 Fernando C. Lombardo , Francisco D. Mazzitelli , Diana Monteoliva

The robustness of the universality class concept of the chaotic transition was investigated by analytically obtaining its critical exponent for a wide class of maps. In particular, we extended the existing one-dimensional chaotic maps,…

混沌动力学 · 物理学 2022-06-14 Ken-ichi Okubo , Ken Umeno

Independent studies by different authors have proposed that classicality may be induced in quantum objects by cosmological constraints presented by an expanding universe of finite extent in space-time. Cosmological effects on a quantum…

综合物理 · 物理学 2010-11-25 C. L. Herzenberg

A rich variety of non-equilibrium dynamical phenomena and processes unambiguously calls for the development of general numerical techniques to probe and estimate a complex interplay between spatial and temporal degrees of freedom in…

量子物理 · 物理学 2025-08-26 E. A. Maletskii , I. A. Iakovlev , V. V. Mazurenko

We discuss the dephasing induced by the internal classical chaotic motion in the absence of any external environment. To this end we consider a suitable extension of fidelity for mixed states which is measurable in a Ramsey interferometry…

量子物理 · 物理学 2007-05-23 Valentin V. Sokolov , Giuliano Benenti , Giulio Casati

Predicting features of complex, large-scale quantum systems is essential to the characterization and engineering of quantum architectures. We present an efficient approach for constructing an approximate classical description, called the…

量子物理 · 物理学 2019-11-26 Hsin-Yuan Huang , Richard Kueng

Quantum control in large dimensional Hilbert spaces is essential for realizing the power of quantum information processing. For closed quantum systems the relevant input/output maps are unitary transformations, and the fundamental challenge…

量子物理 · 物理学 2014-10-17 B. E. Anderson , H. Sosa-Martinez , C. A. Riofrío , I. H. Deutsch , P. S. Jessen

The main result of this note is that the shift of the parameter by 1 in the parameter space of decomposing measures in the problem of harmonic analysis on the infinite-dimensional unitary group corresponds to the taking of the reduced Palm…

概率论 · 数学 2024-01-02 Alexander I. Bufetov

We consider the quantum-to-classical transition for macroscopic systems coupled to their environments. By applying Born's Rule, we are led to a particular set of quantum trajectories, or an unravelling, that describes the state of the…

量子物理 · 物理学 2018-04-23 Timothy J. Hollowood
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