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Related papers: Maximally rotating waves in AdS and on spheres

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4D cylindrical gravitational waves with aligned polarizations (Einstein-Rosen waves) are shown to be described by a weight 1/2 massive free field on the double cover of AdS_2. Thorn's C-energy is one of the sl(2,R) generators, the…

High Energy Physics - Theory · Physics 2009-10-31 M. Niedermaier

We report the computational discovery of complex, topologically charged, and spectrally stable states in three-dimensional multi-component nonlinear wave systems of nonlinear Schr{\"o}dinger type. While our computations relate to…

Pattern Formation and Solitons · Physics 2023-02-01 N. Boullé , I. Newell , P. E. Farrell , P. G. Kevrekidis

The imposition of a constraint between the metric tensor elements in both three- and four-dimensional, rotating AdS space-times is shown to reduce the number of independent equations of motion and to result in new families of solutions to…

General Relativity and Quantum Cosmology · Physics 2019-06-19 Benjamin Harms

The problem of finding consistent cubic AdS interactions of massless mixed-symmetry higher-spin fields is recast into a system of partial differential equations that can be solved for given spins of the particles entering the cubic…

High Energy Physics - Theory · Physics 2012-10-16 L. Lopez

We describe the observed light-baryon spectrum by extending superconformal quantum mechanics to the light front and its embedding in AdS space. This procedure uniquely determines the confinement potential for arbitrary half-integer spin. To…

High Energy Physics - Phenomenology · Physics 2015-03-03 Guy F. de Teramond , Hans Gunter Dosch , Stanley J. Brodsky

The combination of Anti-de Sitter space (AdS) methods with light-front holography leads to a semi-classical first approximation to the spectrum and wavefunctions of meson and baryon light-quark bound states. Starting from the bound-state…

High Energy Physics - Phenomenology · Physics 2014-11-20 Stanley J. Brodsky , Guy de Teramond

We present a quantum algorithmic framework for simulating linear, anti-Hermitian (lossless) wave equations in heterogeneous, anisotropic, and time-independent media. This framework encompasses a broad class of wave equations, including the…

Quantum Physics · Physics 2025-02-06 Cyrill Bösch , Malte Schade , Giacomo Aloisi , Scott D. Keating , Andreas Fichtner

In many Hamiltonian systems, propagation of steadily travelling solitons or kinks is prohibited because of resonances with linear excitations. We show that Hamiltonian systems with resonances may admit an infinite number of travelling…

Pattern Formation and Solitons · Physics 2015-06-17 Georgy L. Alfimov , Elina V. Medvedeva , Dmitry E. Pelinovsky

The AdS/CFT correspondence has led to important insights into the properties of quantum chromodynamics even though QCD is a broken conformal theory. A holographic model based on a truncated AdS space can be used to obtain the hadronic…

High Energy Physics - Phenomenology · Physics 2009-09-11 S. J. Brodsky , G. F. de Teramond

We consider semiclassically scaled, weakly nonlinear Schr\"odinger equations with external confining potentials and additional angular-momentum rotation term. This type of model arises in the Gross-Pitaevskii theory of trapped, rotating…

Analysis of PDEs · Mathematics 2024-08-05 Xiaoan Shen , Christof Sparber

A generalized Bose-Hubbard model in a two-mode approximation is applied to study the rotational dynamics of a direct-current atomtronic quantum interference device. Modified values of on-site interaction and pair-tunneling parameters of the…

Quantum Physics · Physics 2024-03-22 H. M. Cataldo

We investigate the massless scalar particle dynamics on $AdS_{N+1} ~ (N>1)$ by the method of Hamiltonian reduction. Using the dynamical integrals of the conformal symmetry we construct the physical phase space of the system as a $SO(2,N+1)$…

High Energy Physics - Theory · Physics 2009-11-11 Harald Dorn , George Jorjadze

AdS waves and pp-waves can only be supported by pure radiation fields, for which the only nonvanishing component of the energy-momentum tensor is the energy density along the retarded time. We show that the nonminimal coupling of…

High Energy Physics - Theory · Physics 2016-08-16 Eloy Ayón-Beato , Mokhtar Hassaïne

A repulsively interacting Bose-Einstein condensate on a ring is well known to show persistent currents. For attractive interactions, however, a bound state may form that renders the rotation classical. Here we show that in a…

Quantum Gases · Physics 2024-03-01 K. Mukherjee , T. Arnone Cardinale , S. M. Reimann

We investigate a general system of two coupled harmonic oscillators with cubic nonlinearity. Without damping, the system is Hamiltonian, with the origin as an elliptic equilibrium characterized by two distinct linear frequencies. To…

Dynamical Systems · Mathematics 2024-10-01 Laura Di Gregorio , Walter Lacarbonara

We show that quantum dynamics of any systems with $SU(1,1)$ symmetry give rise to emergent Anti-de Sitter spacetimes in 2+1 dimensions (AdS$_{2+1}$). Using the continuous circuit depth, a quantum evolution is mapped to a trajectory in…

Quantum Gases · Physics 2023-11-15 Chenwei Lv , Qi Zhou

Einsteinian cubic gravity provides a holographic toy model of a nonsupersymmetric CFT in three dimensions, analogous to the one defined by Quasi-topological gravity in four. The theory admits explicit non-hairy AdS$_4$ black holes and…

High Energy Physics - Theory · Physics 2018-06-18 Pablo Bueno , Pablo A. Cano , Alejandro Ruiperez

We extend the study of the non-linear perturbative theory of weakly turbulent energy cascades in AdS$_{d+1}$ to include solutions of driven systems, i.e. those with time-dependent sources on the AdS boundary. This necessitates the…

High Energy Physics - Theory · Physics 2020-12-30 Brad Cownden

We show that the parameter space of Zwei-Dreibein Gravity (ZDG) in AdS3 exhibits critical points, where massive graviton modes coincide with pure gauge modes and new `logarithmic' modes appear, similar to what happens in New Massive…

High Energy Physics - Theory · Physics 2015-06-18 Eric A. Bergshoeff , Andrés F. Goya , Wout Merbis , Jan Rosseel

We present the exact diagonalization study of rotating Bose-condensed gas interacting via finite-range Gaussian potential confined in a quasi-2D harmonic trap. The system of many-body Hamiltonian matrix is diagonalized in given subspaces of…

Quantum Gases · Physics 2023-07-19 Mohd. Imran , M. A. H. Ahsan