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We present an experimental setup based on the normal modes of vibrating soap films which shows quantum features of integrable and chaotic billiards. In particular, we obtain the so-called scars -narrow linear regions with high probability…

During the last few years we have studied the chaotic behavior of special Euclidian geometries, so-called billiards, from the quantum or in more general sense "wave dynamical" point of view. Due to the equivalence between the stationary…

chao-dyn · 物理学 2008-02-03 H. Rehfeld , H. Alt , C. Dembowski , H. -D. Graef , R. Hofferbert , A. Richter , H. Lengeler

On the basis of a tight-binding model for a strongly disordered semiconductor with correlated conduction- and valence band disorder a new coherent dynamical intra-band effect is analyzed. For systems that are excited by two, specially…

无序系统与神经网络 · 物理学 2009-11-07 C. Schlichenmaier , I. Varga , T. Meier , P. Thomas , S. W. Koch

The at-will control of quantum states is a primary goal of quantum science and technology. The celebrated Hahn echo exemplifies such quantum-state control based on a time-reversal process in a few-level system. Here, we propose a different…

强关联电子 · 物理学 2023-03-24 Shohei Imai , Atsushi Ono , Sumio Ishihara

Have you ever played or watched a game of pool? If so, you have already seen a billiard system in action. In mathematics and physics, a billiard system describes a ball that moves in straight lines and bounces off walls. Despite these…

动力系统 · 数学 2025-08-27 Weiqi Chu , Matthew Dobson

We present scanning-probe images and magnetic-field plots which reveal fractal conductance fluctuations in a quantum billiard. The quantum billiard is drawn and tuned using erasable electrostatic lithography, where the scanning probe draws…

介观与纳米尺度物理 · 物理学 2009-11-10 R. Crook , C. G. Smith , A. C. Graham , I. Farrer , H. E. Beere , D. A. Ritchie

We introduce aspects of quantum chaos by analyzing the eigenvalues and the eigenstates of quantum many-body systems. The properties of quantum systems whose classical counterparts are chaotic differ from those whose classical counterparts…

统计力学 · 物理学 2015-05-28 Aviva Gubin , Lea F. Santos

We introduce the notion of multi-dimensional chaos that applies to processes described by erratic functions of several dynamical variables. We employ this concept in the interpretation of classical and quantum scattering off a pinball…

高能物理 - 理论 · 物理学 2026-05-27 Massimo Bianchi , Maurizio Firrotta , Jacob Sonnenschein , Dorin Weissman

We investigate the effect of repeated measurement for quantum dynamics of the suppressed systems which classical counterparts exhibit chaos. The essential feature of such systems is the quantum localization phenomena strongly limiting…

量子物理 · 物理学 2008-02-03 B. Kaulakys

We study finite two dimensional spin lattices with definite geometry (spin billiards) demonstrating the display of collective integrable or chaotic dynamics depending on their shape. We show that such systems can be quantum simulated by…

量子物理 · 物理学 2015-05-13 Simone Montangero , Diego Frustaglia , Tommaso Calarco , Rosario Fazio

We report on the experimental investigation of the properties of the eigenvalues and wavefunctions and the fluctuation properties of the scattering matrix of closed and open billiards, respectively, of which the classical dynamics undergoes…

量子物理 · 物理学 2019-10-07 Runzu Zhang , Weihua Zhang , Barbara Dietz , Chai Guozhi , Liang Huang

In a series of pump and probe experiments, we study the lifetime statistics of a quantum chaotic resonator when the number of open channels is greater than one. Our design embeds a stadium billiard into a two dimensional photonic crystal…

统计力学 · 物理学 2015-05-30 A. Di Falco , T. F. Krauss , A. Fratalocchi

We study the low energy quantum spectra of two-dimensional rectangular billiards with a small but finite-size scatterer inside. We start by examining the spectral properties of billiards with a single pointlike scatterer. The problem is…

chao-dyn · 物理学 2009-10-28 T. Shigehara , Taksu Cheon

Mesoscopic devices, with system sizes in the range of several to several dozens wavelengths, represent paradigmatic model systems for the observation of quantum chaotic behaviour based on semiclassical concepts. Those electronic and…

量子物理 · 物理学 2026-04-15 Martina Hentschel

Billiards tables - a minimal model for particles moving in a confined region - are known to present classical (and quantum) different features according to their shape, ranging from strongly chaotic to integrable dynamics. Here we consider…

混沌动力学 · 物理学 2026-05-13 Roberto Artuso , Matteo Burlo

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 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

We investigate chaotic scattering on an attractive step potential with a quadrupolar deformation. The phase space features of the bound billiard are studied by using the notion of symmetry lines to find periodic orbits. We show that the…

chao-dyn · 物理学 2009-10-30 Vincent J. Daniels , Michel Vallieres , Jian Min Yuan

Quantum ergodicity of classically chaotic systems has been studied extensively both theoretically and experimentally, in mathematics, and in physics. Despite this long tradition we are able to present a new rigorous result using only…

偏微分方程分析 · 数学 2007-05-23 N. Burq , M. Zworski

We investigate scattering through chaotic ballistic quantum dots in the Coulomb blockade regime. Focusing on the scattering phase, we show that large universal sequences emerge in the short wavelength limit, where phase lapses of $\pi$…

介观与纳米尺度物理 · 物理学 2012-12-13 Rafael A. Molina , Rodolfo A. Jalabert , Dietmar Weinmann , Philippe Jacquod