Results 91 to 100 of about 3,614 (216)
Advanced Functional Materials, Volume 34, Issue 19, May 10, 2024.Ambipolar electrolyte‐gated transistors based on reduced graphene oxide (rGO‐EGTs) are ultra‐sensitive and highly specific immunosensors. The physics and chemistry ruling the device operation are still not fully unraveled. This work aims to elucidate the nature of the observed sensitivity, by proposing a physical–chemical model that quantitatively ...
Matteo Sensi +7 more
wiley +1 more source
Massless AdS 2 scattering and Bethe ansatz [PDF]
Journal of High Energy Physics, 2017 We first analyse the integrable scattering theory describing the massless excitations of $AdS_2 \times S^2 \times T^6$ superstrings in the relativistic limit. The matrix part of the S-matrix is obtained in the BMN limit from the conjectured exact expression, and compared with known S-matrices with N=1 supersymmetry.
Fontanella, Andrea +1 more
openaire +4 more sources
A note on gl2 $$ \mathfrak{g}{\mathfrak{l}}_2 $$-invariant Bethe vectors
Journal of High Energy Physics, 2018 We consider gl2 $$ \mathfrak{g}{\mathfrak{l}}_2 $$-invariant quantum integrable models solvable by the algebraic Bethe ansatz. We show that the form of on-shell Bethe vectors is preserved under certain twist transformations of the monodromy matrix.
S. Belliard, N. A. Slavnov
doaj +1 more source
Generalized Gibbs Ensemble and string-charge relations in nested Bethe Ansatz
SciPost Physics, 2020 The non-equilibrium steady states of integrable models are believed to be described by the Generalized Gibbs Ensemble (GGE), which involves all local and quasi-local conserved charges of the model. In this work we investigate integrable lattice models
György Z. Fehér, Balázs Pozsgay
doaj +1 more source
Boundary current fluctuations for the half‐space ASEP and six‐vertex model
Proceedings of the London Mathematical Society, Volume 128, Issue 2, February 2024.Abstract We study fluctuations of the current at the boundary for the half‐space asymmetric simple exclusion process (ASEP) and the height function of the half‐space six‐vertex model at the boundary at large times. We establish a phase transition depending on the effective density of particles at the boundary, with Gaussian symplectic ensemble (GSE ...
Jimmy He
wiley +1 more source
Bethe Ansatz and Classical Hirota Equation [PDF]
, 1997 We discuss an interrelation between quantum integrable models and classical soliton equations with discretized time. It appeared that spectral characteristics of quantum integrable systems may be obtained from entirely classical set up.
P. Wiegmann
core +1 more source
Finding the Dynamics of an Integrable Quantum Many‐Body System via Machine Learning
Advanced Physics Research, Volume 3, Issue 1, January 2024.Machine‐learning methods are used to find nonperturbative dynamics of the Gaudin magnet (central‐spin model). The Gaudin magnet has important applications in qubit dynamics/decoherence and in nonequilibrium superconductivity. Integrable models like the Gaudin magnet have many conserved quantities and their dynamics may therefore admit an efficient ...
Victor Wei +3 more
wiley +1 more source
Scalar products of Bethe vectors in the models with gl(m|n) symmetry
Nuclear Physics B, 2017 We study scalar products of Bethe vectors in the models solvable by the nested algebraic Bethe ansatz and described by gl(m|n) superalgebra. Using coproduct properties of the Bethe vectors we obtain a sum formula for their scalar products.
A. Hutsalyuk +4 more
doaj +1 more source
Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract We tackle the problem of constructing R$R$‐matrices for the category O$\mathcal {O}$ associated to the Borel subalgebra of an arbitrary untwisted quantum loop algebra Uq(g)$U_q({\mathfrak {g}})$. For this, we define an invertible exact functor Fq$\mathcal {F}_q$ from the category O$\mathcal {O}$ linked to Uq−1(g)$U_{q^{-1}}({\mathfrak {g ...
Théo Pinet
wiley +1 more source
Off-diagonal Bethe ansatz for exactly solvable models [PDF]
, 2015 This book serves as an introduction of the off-diagonal Bethe Ansatz method, an analytic theory for the eigenvalue problem of quantum integrable models.
Cao, Junpeng +3 more
core +1 more source