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We present a general theory of quantum information propagation in chaotic quantum many-body systems. The generic expectation in such systems is that quantum information does not propagate in localized form; instead, it tends to spread out…

Statistical Mechanics · Physics 2020-11-05 Josiah Couch , Stefan Eccles , Phuc Nguyen , Brian Swingle , Shenglong Xu

The phenomenon of Stochastic Resonance (SR) is observed in a completely deterministic setting - with thermal noise being replaced by one-dimensional chaos. The piecewise linear map investigated in the paper shows a transition from…

chao-dyn · Physics 2009-10-31 Sitabhra Sinha , Bikas K. Chakrabarti

Resonance states of a two-electron quantum dot are studied using a variational expansion with both real basis-set functions and complex scaling methods. We present numerical evidence about the critical behavior of the density of states in…

Other Condensed Matter · Physics 2010-08-26 Federico M. Pont , Omar Osenda , Pablo Serra

It is commonly stated that decoherence in open quantum systems is due to growing entanglement with an environment. In practice, however, surprisingly often decoherence may equally well be described by random unitary dynamics without…

Quantum Physics · Physics 2009-10-29 Julius Helm , Walter T. Strunz

We introduce a single-channel opening in a random Hamiltonian and a quantized chaotic map: localization on the opening occurs as a sensible deviation of the wavefunction statistics from the predictions of random matrix theory, even in the…

Chaotic Dynamics · Physics 2015-08-05 Domenico Lippolis , Jung-Wan Ryu , Sang Wook Kim

We investigate estimation of fluctuating channels and its effect on security of continuous-variable quantum key distribution. We propose a novel estimation scheme which is based on the clusterization of the estimated transmittance data. We…

The scattering matrix approach is employed to determine a joint probability density function of reflection eigenvalues for chaotic cavities coupled to the outside world through both ballistic and tunnel point contacts. Derived under…

Mesoscale and Nanoscale Physics · Physics 2012-05-17 Pedro Vidal , Eugene Kanzieper

The tomographic probability distribution is used to decribe the kinetic equations for open quantum systems. Damped oscillator is studied. Purity parameter evolution for different damping regime is considered.

Quantum Physics · Physics 2007-05-23 V. I. Man'ko , V. A. Sharapov , E. V. Shchukin

The capacitance of mesoscopic samples depends on their geometry and physical properties, described in terms of characteristic times scales. The resulting ac admittance shows sample to sample fluctuations. Their distribution is studied here…

Condensed Matter · Physics 2009-10-28 Victor A. Gopar , Pier A. Mello , Markus Buttiker

The mesoscopic fluctuations of the absorption at optical transitions from a low energy regular state to high energy chaotic states in an aggregate of semiconductor quantum dots is studied. We provide a universal dependence of the…

Condensed Matter · Physics 2009-10-28 Nobuhiko Taniguchi , Vladimir N. Prigodin

We present an experimental and numerical study of missing-level statistics of chaotic three-dimensional microwave cavities. The nearest-neighbor spacing distribution, the spectral rigidity, and the power spectrum of level fluctuations were…

Classical Physics · Physics 2018-10-29 Vitalii Yunko , Małgorzata Białous , Szymon Bauch , Michał Ławniczak , Leszek Sirko

Random matrix spectral correlations is a defining feature of quantum chaos. Here, we study such correlations in a minimal model of chaotic many-body quantum dynamics where interactions are confined to the system's boundary, dubbed…

Quantum Physics · Physics 2024-11-27 Felix Fritzsch , Tomaž Prosen

It was recently conjectured that 1/f noise is a fundamental characteristic of spectral fluctuations in chaotic quantum systems. This conjecture is based on the behavior of the power spectrum of the excitation energy fluctuations, which is…

Chaotic Dynamics · Physics 2016-08-16 E. Faleiro , J. M. G. Gómez , R. A. Molina , L. Muñoz , A. Relaño , J. Retamosa , .

The Random Coupling Model (RCM) is a statistical approach for studying the scattering properties of linear wave chaotic systems in the semi-classical regime. Its success has been experimentally verified in various over-moded wave settings,…

Classical Physics · Physics 2019-03-11 Min Zhou , Edward Ott , Thomas M. Antonsen, , Steven M. Anlage

We derive the explicit expression for the distribution of resonance widths in a chaotic quantum system coupled to continua via M equivalent open channels. It describes a crossover from the $\chi^2$ distribution (regime of isolated…

Condensed Matter · Physics 2009-10-28 Yan V. Fyodorov , H. -J. Sommers

We study relevant features of the spectrum of the quantum open baker map. The opening consists of a cut along the momentum $p$ direction of the 2-torus phase space, modelling an open chaotic cavity. We study briefly the classical forward…

Quantum Physics · Physics 2009-11-13 Juan M. Pedrosa , Gabriel G. Carlo , Diego A. Wisniacki , Leonardo Ermann

We show that the autocorrelation of quantum spectra of an open chaotic system is well described by the classical Ruelle-Pollicott resonances of the associated chaotic strange repeller. This correspondence is demonstrated utilizing microwave…

Chaotic Dynamics · Physics 2017-08-23 Wentao T. Lu , Kristi Pance , Prabhakar Pradhan , S. Sridhar

We investigate the transport properties of open quantum chaotic systems in the semiclassical limit. We show how the transmission spectrum, the conductance fluctuations, and their correlations are influenced by the underlying chaotic…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Ph. Jacquod , E. V. Sukhorukov

We study the behavior of an open quantum system, with an $N$--dimensional space of states, whose density matrix evolves according to a non--unitary map defined in two steps: A unitary step, where the system evolves with an evolution…

Quantum Physics · Physics 2009-11-07 Pablo Bianucci , Juan Pablo Paz , Marcos Saraceno

Involvement of the environment is indispensable for establishing the statistical distribution of system. We analyze the statistical distribution of a quantum system coupled strongly with a heat bath. This distribution is determined by…

Quantum Physics · Physics 2024-07-23 Yu Su , Zi-Fan Zhu , Yao Wang , Rui-Xue Xu , YiJing Yan