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It has recently been shown that interference effects in disordered systems give rise to two non-trivial structures: the coherent backscattering (CBS) peak, a well-known signature of interference effects in the presence of disorder, and the…

无序系统与神经网络 · 物理学 2021-08-18 Maxime Martinez , Gabriel Lemarié , Bertrand Georgeot , Christian Miniatura , Olivier Giraud

The Coherent Backscattering (CBS) peak is a well-known interferential signature of weak localization in disordered or chaotic systems. More recently, a second interference feature -- the Coherent Forward Scattering (CFS) peak -- was…

We present the multifractal analysis of coherent states in kicked top model by expanding them in the basis of Floquet operator eigenstates. We demonstrate the manifestation of phase space structures in the multifractal properties of…

量子物理 · 物理学 2021-10-22 Qian Wang , Marko Robnik

We propose and analyze an experimental scheme using the quantum kicked rotor to observe the newly-predicted coherent forward scattering peak together with its long-known twin brother, the coherent backscattering peak. Contrary to coherent…

量子气体 · 物理学 2017-05-03 Gabriel Lemarié , Cord A. Müller , David Guéry-Odelin , Christian Miniatura

We show that the coherent forward scattering (CFS) interference peak amplitude sharply jumps from zero to a finite value upon crossing a metal-insulator transition. Extensive numerical simulations reveal that the CFS peak contrast obeys the…

无序系统与神经网络 · 物理学 2017-04-19 Sanjib Ghosh , Christian Miniatura , Nicolas Cherroret , Dominique Delande

Fractal dimensions of eigenfunctions for various critical random matrix ensembles are investigated in perturbation series in the regimes of strong and weak multifractality. In both regimes we obtain expressions similar to those of the…

混沌动力学 · 物理学 2011-09-26 E. Bogomolny , O. Giraud

We present a detailed numerical and theoretical analysis of the recently discovered phenomenon of coherent forward scattering. This effect manifests itself as a macroscopic interference peak in the forward direction of the momentum…

无序系统与神经网络 · 物理学 2014-12-02 S. Ghosh , N. Cherroret , B. Grémaud , C. Miniatura , D. Delande

We study the multifractal behavior of coherent states projected in the energy eigenbasis of the spin-boson Dicke Hamiltonian, a paradigmatic model describing the collective interaction between a single bosonic mode and a set of two-level…

Coherent backscattering (CBS) arises from complex interactions of a coherent beam with randomly positioned particles, which has been typically studied in media with large numbers of scatterers and high opacity. We develop a first-principles…

The investigation of the static and dynamic structural properties of colloidal systems relies on techniques capable of atomic resolution in real space and femtosecond resolution in time. Recently, the cross-correlation function (CCF)…

其他凝聚态物理 · 物理学 2015-11-20 Tatiana Latychevskaia , Giulia Fulvia Mancini , Fabrizio Carbone

In the physics literature the spectral form factor (SFF), the squared Fourier transform of the empirical eigenvalue density, is the most common tool to test universality for disordered quantum systems, yet previous mathematical results have…

数学物理 · 物理学 2023-07-26 Giorgio Cipolloni , László Erdős , Dominik Schröder

Multifractal dimensions allow for characterizing the localization properties of states in complex quantum systems. For ergodic states the finite-size versions of fractal dimensions converge to unity in the limit of large system size.…

统计力学 · 物理学 2019-10-30 Arnd Bäcker , Masudul Haque , Ivan M. Khaymovich

We introduce and validate a theoretical framework for coherent control of multichannel scattering of linear waves to route waves through complex geometries with multiple scattering. We show that steady-state perfect routing solutions are…

We investigate coherent multiple scattering effects in the random quantum kicked rotor model. By changing the starting time of the Floquet period, two new classes of models can be introduced that exhibit similar interference structures. For…

We study multifractality in a broad class of disordered systems which includes, e.g., the diluted x-y model. Using renormalized field theory we analyze the scaling behavior of cumulant averaged dynamical variables (in case of the x-y model…

统计力学 · 物理学 2009-11-10 Olaf Stenull

We study the multiorder coherent Raman scattering of a quantum probe field in a far-off-resonance medium with a prepared coherence. Under the conditions of negligible dispersion and limited bandwidth, we derive a Bessel-function solution…

量子物理 · 物理学 2009-11-10 Fam Le Kien , Anil K. Patnaik , K. Hakuta

We report the first observation of coherent back-scattering (CBS) of light in a transverse photonic disorder. The CBS peak is recorded in the far-field, at a fixed propagation time set by our crystal length, and displays a contrast…

量子气体 · 物理学 2015-05-05 Julien Armijo , Raphaël Allio

Recently, based on heuristic arguments, it was conjectured that an intimate relation exists between any multifractal dimensions, $D_q$ and $D_{q'}$, of the eigenstates of critical random matrix ensembles: $D_{q'} \approx…

无序系统与神经网络 · 物理学 2015-03-16 J. A. Mendez-Bermudez , A. Alcazar-Lopez , Imre Varga

Collisionless suspensions of inertial particles (finite-size impurities) are studied in 2D and 3D spatially smooth flows. Tools borrowed from the study of random dynamical systems are used to identify and to characterise in full generality…

混沌动力学 · 物理学 2007-05-23 Jeremie Bec

Extensive coherent control over quantum chaotic diffusion using the kicked rotor model is demonstrated and its origin in deviations from random matrix theory is identified. Further, the extent of control in the presence of external…

量子物理 · 物理学 2009-11-06 Jiangbin Gong , Paul Brumer
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