870 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- City St George's, University of LondonGB152 papers
- University of OxfordGB100 papers
- Nankai UniversityCN81 papers
- Northampton Community CollegeUS36 papers
- Imperial College LondonGB35 papers
- Centre National de la Recherche ScientifiqueFR31 papers
- King's College LondonGB24 papers
- London Institute for Mathematical SciencesGB22 papers
- University College LondonGB21 papers
- University of LondonGB19 papers
- Royal Institution of Great BritainGB18 papers
- National Institute for Theoretical PhysicsZA17 papers
31 papers · 1 filter
A Calogero Model with root string representatives of infinite order Coxeter orbits
Andreas Fring
We present a worked example for the new extensions of the multi-particle Calogero model endowed with infinite Weyl group symmetry of affine and hyperbolic type. Building upon the h…
Lie symmetries and ghost-free representations of the Pais-Uhlenbeck model
Alexander Felski, Andreas Fring, Bethan Turner
We investigate the Pais-Uhlenbeck (PU) model, a paradigmatic example of a higher time-derivative theory, by identifying the Lie symmetries of its associated fourth-order dynamical…
Infinite affine, hyperbolic and Lorentzian Weyl groups with their associated Calogero models
Francisco Correa, Andreas Fring, Octavio Quintana
We propose generalizations of Calogero models that exhibit invariance with respect to the infinite Weyl groups of affine, hyperbolic, and Lorentzian types. Our approach involves de…
Nonlocal gauge equivalence: Hirota versus extended continuous Heisenberg and Landau-Lifschitz equation
Julia Cen, Francisco Correa, Andreas Fring
We exploit the gauge equivalence between the Hirota equation and the extended continuous Heisenberg equation to investigate how nonlocality properties of one system are inherited b…
Entanglement Content of Quantum Particle Excitations III. Graph Partition Functions
Olalla A. Castro-Alvaredo, Cecilia De Fazio, Benjamin Doyon +1
We consider two measures of entanglement, the logarithmic negativity and the entanglement entropy, between regions of space in excited states of many-body systems formed by a finit…
Classical -Reflection Equation and Gaudin Models
Vincent Caudrelier, Nicolas Crampe
We introduce the notion of -reflection equation which provides a large generalization of the usual classical reflection equation describing integrable boundary conditions. The l…
Generalized Bogoliubov transformations versus % -pseudo-bosons
Fabio Bagarello, Andreas Fring
We demonstrate that not all generalized Bogoliubov transformations lead to -pseudo-bosons and prove that a correspondence between the two can only be achieved with the impo…
Lagrangian and Hamiltonian structures in an integrable hierarchy and space-time duality
Jean Avan, Vincent Caudrelier, Anastasia Doikou +1
We define and illustrate the novel notion of dual integrable hierarchies, on the example of the nonlinear Schrödinger (NLS) hierarchy. For each integrable nonlinear evolution equat…
Multisymplectic approach to integrable defects in the sine-Gordon model
Vincent Caudrelier
Ideas from the theory of multisymplectic systems, introduced recently in integrable systems by the author and Kundu to discuss Liouville integrability in classical field theories w…
A multisymplectic approach to defects in integrable classical field theory
V. Caudrelier, A. Kundu
We introduce the concept of multisymplectic formalism, familiar in covariant field theory, for the study of integrable defects in 1+1 classical field theory. The main idea is the c…
On the Inverse Scattering Method for Integrable PDEs on a Star Graph
Vincent Caudrelier
We present a framework to solve the open problem of formulating the inverse scattering method (ISM) for an integrable PDE on a star-graph. The idea is to map the problem on the gra…
On "Nonlinear eigenvalue problems"
Oliver S. Kerr
The asymptotic behaviour of solutions to was investigated by Bender, Fring and Komijani \cite{BenderEtAl:2014}. They found, for example, a relation between th…
Systems of coupled PT-symmetric oscillators
Carl M. Bender, Mariagiovanna Gianfreda, S. P. Klevansky
The Hamiltonian for a PT-symmetric chain of coupled oscillators is constructed. It is shown that if the loss-gain parameter is uniform for all oscillators, then as the number o…
Nonlinear eigenvalue problems
Carl M. Bender, Andreas Fring, Javad Komijani
This paper presents a detailed asymptotic study of the nonlinear differential equation y'(x)=\cos[πxy(x)] subject to the initial condition y(0)=a. Although the differential equatio…
Integrable Boundary for Quad-Graph Systems: Three-Dimensional Boundary Consistency
Vincent Caudrelier, Nicolas Crampé, Qi Cheng Zhang
We propose the notion of integrable boundary in the context of discrete integrable systems on quad-graphs. The equation characterizing the boundary must satisfy a compatibility equ…
Time-dependent q-deformed coherent states for generalized uncertainty relations
Sanjib Dey, Andreas Fring, Laure Gouba +1
We investigate properties of generalized time-dependent q-deformed coherent states for a noncommutative harmonic oscillator. The states are shown to satisfy a generalized version o…
Entanglement in permutation symmetric states, fractal dimensions, and geometric quantum mechanics
Olalla A. Castro-Alvaredo, Benjamin Doyon
We study the von Neumann and Rényi bipartite entanglement entropies in the thermodynamic limit of many-body quantum states with spin-s sites, that possess full symmetry under excha…
Set-theoretical reflection equation: Classification of reflection maps
V. Caudrelier, N. Crampe, Q. C. Zhang
The set-theoretical reflection equation and its solutions, the reflection maps, recently introduced by two of the authors, is presented in general and then applied in the context o…
Yang-Baxter and reflection maps from vector solitons with a boundary
V. Caudrelier, Q. C. Zhang
Based on recent results obtained by the authors on the inverse scattering method of the vector nonlinear Schrödinger equation with integrable boundary conditions, we discuss the fa…
PT-symmetrically deformed shock waves
Andrea Cavaglia, Andreas Fring
We investigate for a large class of nonlinear wave equations, which allow for shock wave formations, how these solutions behave when they are PT-symmetrically deformed. For real so…
Vector Nonlinear Schrödinger Equation on the half-line
V. Caudrelier, Q. C. Zhang
We investigate the Manakov model or, more generally, the vector nonlinear Schrödinger equation on the half-line. Using a Bäcklund transformation method, two classes of integrable b…
PT-symmetry breaking in complex nonlinear wave equations and their deformations
Andrea Cavaglia, Andreas Fring, Bijan Bagchi
We investigate complex versions of the Korteweg-deVries equations and an Ito type nonlinear system with two coupled nonlinear fields. We systematically construct rational, trigonom…
PT invariant complex E(8) root spaces
Andreas Fring, Monique Smith
We provide a construction procedure for complex root spaces invariant under antilinear transformations, which may be applied to any Coxeter group. The procedure is based on the fac…
Direct computation of scattering matrices for general quantum graphs
V. Caudrelier, E. Ragoucy
We present a direct and simple method for the computation of the total scattering matrix of an arbitrary finite noncompact connected quantum graph given its metric structure and lo…