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Absorption yields an additional exponential decay in open quantum systems which can be described by shifting the (scattering) energy E along the imaginary axis, E+i\hbar/2\tau_{a}. Using the random matrix approach, we calculate analytically…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. V. Savin , H. -J. Sommers

In their Letter [Phys. Rev. Lett. 105, 137402 (2010)], Eisfeld et al. predicted the exchange broadening and blue-shift of the absorption band as well as a nonuniversal disorder scaling of the localization length of excitons in J-aggregates…

Disordered Systems and Neural Networks · Physics 2015-06-11 Agnieszka Werpachowska , Alexandra Olaya-Castro

We study the statistical properties of the complex generalization of Wigner time delay $\tau_\text{W}$ for sub-unitary wave chaotic scattering systems. We first demonstrate theoretically that the mean value of the $\text{Re}[\tau_\text{W}]$…

Disordered Systems and Neural Networks · Physics 2021-11-15 Lei Chen , Steven M. Anlage , Yan V. Fyodorov

The effects of a distributed 'weak generic kernel' delay on cyclically coupled limit cycle and chaotic oscillators are considered. For coupled Van der Pol oscillators (and in fact, other oscillators as well) the delay can produce…

Chaotic Dynamics · Physics 2020-02-14 Ryan Roopnarain , S. Roy Choudhury

In this work we study a dissipative one dimensional scalar parabolic problem with non-local nonlinear diffusion with delay. We consider the general situation in which the functions involved are only continuous and solutions may not be…

Analysis of PDEs · Mathematics 2025-06-11 Tomás Caraballo , A. N. Carvalho , Yessica Julio

We derive the weak value deflection given in a paper by Dixon et al. (Phys. Rev. Lett. 102, 173601 (2009)) both quantum mechanically and classically. This paper is meant to cover some of the mathematical details omitted in that paper owing…

The main result of Xiao et al. [ Phys. Rev. Lett. 95, 137204 (2005)] is shown to follow from Hamiltonian mechanics.

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. Duval , Z. Horvath , P. Horvathy , L. Martina , P. Stichel

We reply to the critiques of our paper arXiv:1210.5501 by the DAMA collaboration which appeared in arXiv:1210.6199 and arXiv:1211.6346. Our original claim that the observed background levels are likely to require a large modulation fraction…

High Energy Physics - Phenomenology · Physics 2013-05-27 Josef Pradler , Itay Yavin

Within a random matrix theory approach, we obtain spectral statistics of the Wigner time delay matrix $Q$, for arbitrary channels number $M$ and for all symmetry classes, in fact for general Dyson parameter $\beta$. We also put forth two…

Chaotic Dynamics · Physics 2022-08-18 Marcel Novaes

In this letter, we investigate the anomalous Hall effect in dense QCD matter. When the dual chiral density wave which is the spatially modulated chiral condensate appears in the medium, it gives rise to two Weyl points to the…

High Energy Physics - Phenomenology · Physics 2018-09-26 Toshitaka Tatsumi , Ryo Yoshiike , Kouji Kashiwa

This paper focuses on the dynamical properties of delayed complex balanced systems. We first study the relationship between the stoichiometric compatibility classes of delayed and non-delayed systems. Using this relation we give another way…

Dynamical Systems · Mathematics 2024-03-14 Xiaoyu Zhang , Tian Zhang , Chuanhou Gao

This is a survey article with a limited list of references (as required by the publisher) which appears in the Encyclopedia of Mathematical Physics, eds. J.-P. Francoise, G.L. Naber and Tsou S.T. Oxford: Elsevier, 2006. vol.4, pp.94--104.

Differential Geometry · Mathematics 2007-05-23 Phillip E. Parker

To accommodate Machine-type Communication (MTC) service, the wireless network needs to support low-delay and low-jitter data transmission, realizing delay deterministic wireless network. This paper analyzes the delay and jitter of the…

Performance · Computer Science 2023-10-12 Zhiqing Wei , Ling Zhang , Gaofeng Nie , Huici Wu , Ning Zhang , Zeyang Meng , Zhiyong Feng

G. Gamow's alpha-decay theory (1928), although successful, has a wrong phenomenological argument that an alpha-particle inside a radioactive nucleus moves back and forth through the dense mass of nucleons (retaining its identity) a number…

Nuclear Theory · Physics 2023-02-27 K. D. Krori , Samrat Dey

The frequency dependent time delay correlation function $K(\Omega)$ is studied analytically for a particle reflected from a finite one-dimensional disordered system. In the long sample limit $K(\Omega)$ can be used to extract the resonance…

Disordered Systems and Neural Networks · Physics 2009-10-31 Mikhail Titov , Yan Fyodorov

In this Letter, we investigate the non-dipole effects in time delay of photoelectrons emitted by multi-electron atoms, negative ions, and respective endohedrals. We present the necessary general formulas in the frame of the random phase…

Atomic Physics · Physics 2020-12-02 M. Ya. Amusia , L. V. Chernysheva

This paper has been withdrawn by the author as a major revision is made and a new version is uploaded at arXiv:0812.3120

Information Theory · Computer Science 2008-12-17 Jun Zhang , Jeffrey G. Andrews , Robert W. Heath

There have been comments on the starting paper, hep-th/0106074, which point out unclear motivation and definitions on noncommutative momentum introduced. This paper is withdrawn by the author for more clear presentation.

High Energy Physics - Theory · Physics 2007-05-23 C. Shio

It says in the report$^1$ by Wang et al. that a negative group velocity $u=-c/310$ is obtained and that a pulse advancement shift 62-ns is measured. The authors claim that the negative group velocity is associated with superluminal light…

General Physics · Physics 2007-05-23 Yuan-Zhong Zhang

Time delays may cause dramatic changes to the dynamics of interacting oscillators. Coupled networks of interacting dynamical systems can behave unexpectedly when the signal between the vertices are time delayed. It has been shown for a very…

Chaotic Dynamics · Physics 2018-06-19 Alexandre Wagemakers , Miguel A. F. Sanjuán
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