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Related papers: Scar and Antiscar Quantum Effects in Open Chaotic …

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We study the stability of classical structures in chaotic systems when a dissipative quantum evolution takes place. We consider a paradigmatic model, the quantum baker map in contact with a heat bath at finite temperature. We analyze the…

Quantum Physics · Physics 2015-05-14 Lisandro A. Raviola , Gabriel G. Carlo , Alejandro M. F. Rivas

We review properties of open chaotic mesoscopic systems with a finite Ehrenfest time tau_E. The Ehrenfest time separates a short-time regime of the quantum dynamics, where wave packets closely follow the deterministic classical motion, from…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Henning Schomerus , Philippe Jacquod

This study analyzed the scar-like localization in the time-average of a timeevolving wavepacket on the desymmetrized stadium billiard. When a wavepacket is launched along the orbits, it emerges on classical unstable periodic orbits as a…

Quantum Physics · Physics 2017-03-28 Mitsuyoshi Tomiya , Shoichi Sakamoto , Eric J. Heller

The suppression of chaos in quantum reality is evident in quantum scars, i.e., in enhanced probability densities along classical periodic orbits, providing opportunities in controlling quantum transport in nanoscale quantum systems. Here,…

Quantum Physics · Physics 2019-01-23 J. Keski-Rahkonen , P. J. J. Luukko , S. Åberg , E. Räsänen

We study the effects of short-time classical dynamics on the distribution of Coulomb blockade peak heights in a chaotic quantum dot. The location of one or both leads relative to the short unstable orbits, as well as relative to the…

Chaotic Dynamics · Physics 2009-08-14 L. Kaplan

Experiments performed on strongly interacting Rydberg atoms have revealed surprising persistent oscillations of local observables. These oscillations have been attributed to a special set of non-ergodic states, referred to as quantum…

Quantum Gases · Physics 2021-09-29 Ian Mondragon-Shem , Maxim G. Vavilov , Ivar Martin

Dynamical signatures of quantum chaos are observed in the survival probability of different initial states, in a system of cold atoms trapped in a linear chain with site noise and open boundary conditions. It is shown that chaos is present…

Quantum Physics · Physics 2023-12-13 Carlos Diaz Mejia , Javier de la Cruz , Sergio Lerma-Hernandez , Jorge G. Hirsch

The vast majority of dynamical systems in classical physics are chaotic and exhibit the butterfly effect: a minute change in initial conditions can soon have exponentially large effects elsewhere. But this phenomenon is difficult to…

Quantum Physics · Physics 2020-07-06 Efim B. Rozenbaum , Leonid A. Bunimovich , Victor Galitski

We study the influence of a chaotic environment in the evolution of an open quantum system. We show that there is an inverse relation between chaos and non-Markovianity. In particular, we remark on the deep relation of the short time…

Quantum Physics · Physics 2012-09-03 I. Garcia-Mata , C. Pineda , D. A. Wisniacki

We discuss a number of basic physical mechanisms relevant to the formation of the proximity effect in superconductor/normal metal (SN) systems. Specifically, we review why the proximity effect sharply discriminates between systems with…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 D. Taras-Semchuk , Alexander Altland

We study an experimental setup in which a quantum probe, provided by a quasi-monomode guided atom laser, interacts with a static localized attractive potential whose characteristic parameters are tunable. In this system, classical mechanics…

Long periodic orbits constitute a serious drawback in Gutzwiller's theory of chaotic systems, and then it would be desirable that other classical invariants, not suffering from the same problem, could be used in the quantization of such…

Chaotic Dynamics · Physics 2009-11-10 D. A. Wisniacki , E. Vergini , R. M. Benito , F. Borondo

We investigate the decay process from a time dependent potential well in the semiclassical regime. The classical dynamics is chaotic and the decay rate shows an irregular behavior as a function of the system parameters. By studying the…

chao-dyn · Physics 2007-05-23 Yosef Ashkenazy , Luca Bonci , Jacob Levitan , Roberto Roncaglia

We present numerical evidence to show that the wavefunctions of smooth classically chaotic Hamiltonian systems scarred by certain simple periodic orbits are exponentially localized in the space of unperturbed basis states. The degree of…

chao-dyn · Physics 2009-10-30 M. S. Santhanam , V. B. Sheorey , A. Lakshminarayan

We study quantum chaos in open dynamical systems and show that it is characterized by quantum fractal eigenstates located on the underlying classical strange repeller. The states with longest life times typically reveal a scars structure on…

Condensed Matter · Physics 2007-05-23 Giulio Casati , Giulio Maspero , Dima L. Shepelyansky

Quantum cavities or dots have markedly different properties depending on whether their classical counterparts are chaotic or not. Connecting a superconductor to such a cavity leads to notable proximity effects, particularly the appearance,…

Mesoscale and Nanoscale Physics · Physics 2013-03-06 Jack Kuipers , Thomas Engl , Gregory Berkolaiko , Cyril Petitjean , Daniel Waltner , Klaus Richter

The connection of a superconductor to a chaotic ballistic quantum dot leads to interesting phenomena, most notably the appearance of a hard gap in its excitation spectrum. Here we treat such an Andreev billiard semiclassically where the…

Mesoscale and Nanoscale Physics · Physics 2013-03-06 Jack Kuipers , Daniel Waltner , Cyril Petitjean , Gregory Berkolaiko , Klaus Richter

In a classically chaotic system that is ergodic, any trajectory will be arbitrarily close to any point of the available phase space after a long time, filling it uniformly. Using Born's rules to connect quantum states with probabilities,…

We present an approach to calculating the quantum resonances and resonance wave functions of chaotic scattering systems, based on the construction of states localized on classical periodic orbits and adapted to the dynamics. Typically only…

Chaotic Dynamics · Physics 2010-07-12 M. Novaes , J. M. Pedrosa , D. Wisniacki , G. G. Carlo , J. P. Keating

We examine the effect of short unstable periodic orbits on wavefunction statistics in a classically chaotic system, and find that the tail of the wavefunction intensity distribution in phase space is dominated by scarring associated with…

chao-dyn · Physics 2009-08-14 L. Kaplan