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A wide variety of intricate dynamics may be created at border-collision bifurcations of piecewise-smooth maps, where a fixed point collides with a surface at which the map is nonsmooth. For the border-collision normal form in two…

Dynamical Systems · Mathematics 2015-06-19 David J. W. Simpson

We study the nonlinear evolution of a weakly perturbed anti-de Sitter (AdS) spacetime by solving numerically the four-dimensional spherically symmetric Einstein-massless-scalar field equations with negative cosmological constant. Our…

General Relativity and Quantum Cosmology · Physics 2011-09-05 Piotr Bizoń , Andrzej Rostworowski

The investigation on higher-dimensional AdS black holes is of great importance under the light of AdS/CFT correspondence. In this work we study static and rotating, uncharged and charged, AdS black holes in higher-dimensional $f(T)$…

General Relativity and Quantum Cosmology · Physics 2019-06-14 G. G. L. Nashed , Emmanuel N. Saridakis

Under the action of coherent periodic driving a generic quantum system will undergo Floquet heating and continously absorb energy until it reaches a featureless thermal state. The phase-space constraints induced by certain symmetries can,…

Strongly Correlated Electrons · Physics 2021-02-03 Joseph Tindall , Frank Schlawin , Michael A. Sentef , Dieter Jaksch

We analytically and numerically study quasinormal frequencies (QNFs) of neutral and charged scalar fields in the charged anti-de Sitter (AdS) black holes and discuss the stability of the black holes in terms of the QNFs. We focus on the…

General Relativity and Quantum Cosmology · Physics 2021-06-18 Takuya Katagiri , Tomohiro Harada

We study local temperature fluctuations in a 2+1 dimensional CFT on the sphere, dual to a black hole in asymptotically AdS spacetime. The fluctuation spectrum is governed by the lowest-lying hydrodynamic modes of the system whose frequency…

High Energy Physics - Theory · Physics 2015-01-16 Alexander Balatsky , Sven Bjarke Gudnason , Yaron Kedem , Alexander Krikun , Larus Thorlacius , Konstantin Zarembo

In the holographic description of cosmic preheating proposed in an accompanied Letter [1], the energy transfer between the inflaton and matter field at strong coupling is suggested to be mimicked by superfluid and normal components of a…

High Energy Physics - Theory · Physics 2021-04-07 Yi-Fu Cai , Shu Lin , Junyu Liu , Jia-Rui Sun

We use the inverse-dimensional expansion to compute analytically the frequencies of a set of quasinormal modes of static black holes of Einstein-(Anti-)de Sitter gravity, including the cases of spherical, planar or hyperbolic horizons. The…

High Energy Physics - Theory · Physics 2022-03-07 Roberto Emparan , Ryotaku Suzuki , Kentaro Tanabe

We consider linear, time-dependent and skew-adjoint perturbations of periodic transport equations on the one-dimensional torus. We describe the long-time behavior of solutions for all non-degenerate perturbations in resonant regime, proving…

Analysis of PDEs · Mathematics 2025-11-25 Maria Teresa Rotolo

We prove the well posedness: global existence, uniqueness and regularity of the solutions, of a class of d-dimensional fractional stochastic active scalar equations. This class includes the stochastic, dD-quasi-geostrophic equation, $ d\geq…

Analysis of PDEs · Mathematics 2012-09-06 Latifa Debbi

Planar black holes in AdS have long-lived quasinormal modes which capture the physics of charge and momentum diffusion in the dual field theory. How should we characterize the effective dynamics of a probe system coupled to the conserved…

High Energy Physics - Theory · Physics 2021-06-02 Jewel K. Ghosh , R. Loganayagam , Siddharth G. Prabhu , Mukund Rangamani , Akhil Sivakumar , V. Vishal

We investigate the nonlinear response of an anharmonic monostable quantum mechanical resonator to strong external periodic driving. The driving thereby induces an effective bistability in which resonant tunneling can be identified. Within…

Other Condensed Matter · Physics 2007-05-23 V. Peano , M. Thorwart

We analyze electron dynamics and topological properties of open double quantum dots (DQDs) driven by circularly polarized ac-magnetic fields. In particular we focus on the system symmetries which can be tuned by the ac-magnetic field.…

Mesoscale and Nanoscale Physics · Physics 2012-09-25 Álvaro Gómez-León , Gloria Platero

We explore the low-temperature behavior of the Abelian Higgs model in AdS_4, away from the probe limit in which back-reaction of matter fields on the metric can be neglected. Over a significant range of charges for the complex scalar, we…

High Energy Physics - Theory · Physics 2009-04-17 Steven S. Gubser , Abhinav Nellore

We consider the quasinormal spectrum of scalar and axial perturbations of the Reissner-Nordstr\"om-AdS black hole as the horizon approaches extremality. By considering a foliation of the black hole by spacelike surfaces which intersect the…

General Relativity and Quantum Cosmology · Physics 2024-04-04 Filip Ficek , Claude Warnick

We analytically investigate the quasinormal modes of the massive scalar field with a nonminimal coupling in the higher-dimensional de Sitter black hole with a single rotation. According to the separated scalar field equation, the boundary…

General Relativity and Quantum Cosmology · Physics 2019-12-25 Bogeun Gwak

We consider five-dimensional, vacuum Einstein equations with negative cosmological constant within cohomogenity-two biaxial Bianchi IX ansatz. This model allows to investigate the stability of AdS without adding any matter to the…

General Relativity and Quantum Cosmology · Physics 2020-06-24 Dominika Hunik-Kostyra , Andrzej Rostworowski

Weakly nonlinear dynamics in anti-de Sitter (AdS) spacetimes is reviewed, keeping an eye on the AdS instability conjecture and focusing on the resonant approximation that accurately captures in a simplified form the long-term evolution of…

General Relativity and Quantum Cosmology · Physics 2021-09-24 Oleg Evnin

In this work we derive novel ultrafast shortcuts for adiabatic rapid passage for a qubit where the only control variable is the longitudinal $z$-field, while the transverse $x$-field remains constant. This restrictive framework is pertinent…

Quantum Physics · Physics 2019-07-24 Dionisis Stefanatos , Emmanuel Paspalakis

External non-minimally coupled scalar and spinor field perturbations have been studied in a (1 + 1) dimensional dilatonic blackhole spacetime [1, 2]. Exact analytical expressions of the quasi- normal mode frequencies have been found for…

General Relativity and Quantum Cosmology · Physics 2026-02-04 Pabitra Gayen , Ratna Koley