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In this work, we investigate the quasinormal modes of a thick brane system. Considering the transverse-traceless tensor perturbation of the brane metric, we obtain the Schr\"odinger-like equation of the Kaluza-Klein modes of the tensor…

General Relativity and Quantum Cosmology · Physics 2024-02-21 Qin Tan , Wen-Di Guo , Yu-Xiao Liu

Entanglement renormalization can be viewed as an encoding circuit for a family of approximate quantum error correcting codes. The logical information becomes progressively more well-protected against erasure errors at larger length scales.…

Quantum Physics · Physics 2017-04-14 Isaac H. Kim , Michael J. Kastoryano

Due to the nature of gravity, non-linear effects are left imprinted in the quasi-normal modes generated in the ringdown phase of the merger of two black holes. We offer an analytical treatment of the quasi-normal modes at second-order in…

General Relativity and Quantum Cosmology · Physics 2024-04-09 Davide Perrone , Thomas Barreira , Alex Kehagias , Antonio Riotto

Formal asymptotics are substantiated that describe typical dropping cusp singularity of quasiclassical approximations to solutions of two cases of the integrable nonlinear Schr\"odinger equation…

Mathematical Physics · Physics 2023-11-17 Sergej Melikhov , Bulat Suleimanov , Azamat Shavlukov

When dealing with macroscopic objects one usually observes quasiclassical phenomena, which can be described in terms of quasiclassical (or classical) equations of motion. Recent development of the theory of quantum computation is based on…

Quantum Physics · Physics 2007-05-23 Gennady P. Berman , Gary D. Doolen , Gustavo V. Lopez , Vladimir I. Tsifrinovich

We consider here scalar and electromagnetic perturbations for the Vaidya metric in double-null coordinates. Such an approach allows one to go a step further in the analysis of quasinormal modes for time-dependent spacetimes. Some recent…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Elcio Abdalla , Cecilia B. M. H. Chirenti , Alberto Saa

We compute the spectrum of quasinormal frequencies of regular black holes obtained in the presence of Non-Linear Electrodynamics. In particular, we perturb the black hole with a minimally coupled massive scalar field, and we study the…

General Relativity and Quantum Cosmology · Physics 2019-05-24 Grigoris Panotopoulos , Ángel Rincón

Quasinormal modes (QNMs) uniquely describe the dominant piece of the gravitational-wave ringdown of postmerger black holes. While the linear QNM regime has been extensively studied, recent work has highlighted the importance of…

General Relativity and Quantum Cosmology · Physics 2025-02-04 Patrick Bourg , Rodrigo Panosso Macedo , Andrew Spiers , Benjamin Leather , Béatrice Bonga , Adam Pound

The paper studies axial gravitational perturbations of the Hayward black hole, a regular geometry that also arises as an effective solution in asymptotically safe gravity. By computing grey-body factors with the 6th-order WKB method and…

General Relativity and Quantum Cosmology · Physics 2025-11-18 Zainab Malik

We study quasinormal modes (QNMs) in 5D electrically charged Bardeen black holes spacetime by considering the scalar and electromagnetic field perturbations. The black holes spacetime is an exact solution of Einstein gravity coupled to…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Kimet Jusufi , Muhammed Amir , Md Sabir Ali , Sunil D. Maharaj

In this paper we investigate how a regular scale-dependent black hole, characterized by a single extra parameter $\epsilon$, behaves under perturbations by a test field (quasi-normal modes) and under light imaging (shadows) in a…

General Relativity and Quantum Cosmology · Physics 2026-01-15 Benjamin Koch , Gonzalo J. Olmo , Ali Riahinia , Ángel Rincón , Diego Rubiera-Garcia

Perturbations of stars and black holes have been one of the main topics of relativistic astrophysics for the last few decades. They are of particular importance today, because of their relevance to gravitational wave astronomy. In this…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Kostas D. Kokkotas , Bernd G. Schmidt

It is shown that the quasi-normal modes arise, in a natural way, when considering the oscillations in unbounded regions by imposing the radiation condition at spatial infinity with a complex wave vector $k$. Hence quasi-normal modes are not…

High Energy Physics - Theory · Physics 2007-05-23 V. V. Nesterenko , A. Feoli , G. Lambiase , G. Scarpetta

We discuss new recurrence-based methods for calculating the complex frequencies of the quasinormal modes of black holes. These methods are based on the Frobenius series solutions of the differential equation describing the linearized radial…

General Relativity and Quantum Cosmology · Physics 2025-03-24 Kristian Benda , Jerzy Matyjasek

We study the asymptotic behavior of parametrized black hole quasinormal modes (QNMs) in the high-overtone limit. To gain insights into their analytical structure, we apply the exact WKB method, which was recently developed by the same…

General Relativity and Quantum Cosmology · Physics 2025-12-23 Taiga Miyachi , Ryo Namba , Hidetoshi Omiya , Naritaka Oshita

Disorder effects are especially pronounced around nodal points in linearly dispersing bandstructures as present in graphene or Weyl semimetals. Despite the enormous experimental and numerical progress, even a simple quantity like the…

Mesoscale and Nanoscale Physics · Physics 2018-04-24 Björn Sbierski , Kevin A. Madsen , Piet W. Brouwer , Christoph Karrasch

We present a bi-orthogonal approach for modeling the response of localized electromagnetic resonators using quasinormal modes, which represent the natural, dissipative eigenmodes of the system with complex frequencies. For many problems of…

We study fluctuations around equilibrium in a class of strongly interacting non-conformal plasmas using holographic techniques. In particular we calculate the quasi-normal mode spectrum of black hole backgrounds that approach to…

High Energy Physics - Theory · Physics 2018-04-25 Panagiotis Betzios , Umut Gürsoy , Matti Järvinen , Giuseppe Policastro

An approach is developed for constructing simple analytical formulae accurately approximating solutions to eigenvalue problems of quantum mechanics. This approach is based on self-similar approximation theory. In order to derive…

Condensed Matter · Physics 2009-10-31 V. I. Yukalov , E. P. Yukalova , S. Gluzman

In quantum/wave systems with chaotic classical analogs, wavefunctions evolve in highly complex, yet deterministic ways. A slight perturbation of the system, though, will cause the evolution to diverge from its original behavior increasingly…

Chaotic Dynamics · Physics 2009-11-07 Nicholas R. Cerruti , Steven Tomsovic