Zobrazeno 1 - 10
of 113
pro vyhledávání: '"Grava, Tamara"'
We consider soliton gas solutions of the Focusing Nonlinear Schr\"odinger (NLS) equation, where the point spectrum of the Zakharov-Shabat linear operator condensate in a bounded domain $\mathcal{D}$ in the upper half-plane. We show that the correspon
Externí odkaz:
http://arxiv.org/abs/2409.14825
We develop the theory of integrable operators $\mathcal{K}$ acting on a domain of the complex plane with smooth boundary in analogy with the theory of integrable operators acting on contours of the complex plane. We show how the resolvent operator is
Externí odkaz:
http://arxiv.org/abs/2307.13119
Autor:
Mazzuca, Guido, Grava, Tamara, Kriecherbauer, Thomas, McLaughlin, Kenneth T-R, Mendl, Christian B., Spohn, Herbert
Publikováno v:
J. Stat. Phys. 190, 149 (2023)
We report on molecular dynamics simulations of spacetime correlations of the Toda lattice in thermal equilibrium. The correlations of stretch, momentum, and energy are computed numerically over a wide range of pressure and temperature. Our numerical
Externí odkaz:
http://arxiv.org/abs/2301.02431
We study properties of Hamiltonian integrable systems with random initial data by considering their Lax representation. Specifically, we investigate the spectral behaviour of the corresponding Lax matrices when the number $N$ of degrees of freedom of
Externí odkaz:
http://arxiv.org/abs/2206.15371
A famous result of Stieltjes relates the zeroes of the classical orthogonal polynomials with the configurations of points on the line that minimize a suitable energy. The energy has logarithmic interactions and an external field whose exponential is
Externí odkaz:
http://arxiv.org/abs/2206.06861
We analyze the case of a dense mKdV soliton gas and its large time behaviour in the presence of a single trial soliton. We show that the solution can be expressed in terms of Fredholm determinants as well as in terms of a Riemann-Hilbert problem. We
Externí odkaz:
http://arxiv.org/abs/2205.02601
The paper addresses a conjecture of Shapiro and Tater on the similarity between two sets of points in the complex plane; on one side is the values of $t\in \mathbb{C}$ for which the spectrum of the quartic anharmonic oscillator in the complex plane $
Externí odkaz:
http://arxiv.org/abs/2203.16889
We first consider a deterministic gas of $N$ solitons for the Focusing Nonlinear Schr\"odinger (FNLS) equation in the limit $N\to\infty$ with a point spectrum chosen to interpolate a given spectral soliton density over a bounded domain of the complex
Externí odkaz:
http://arxiv.org/abs/2112.05985
Autor:
Grava, Tamara, Mazzuca, Guido
We consider the discrete defocusing nonlinear Schr\"odinger equation in its integrable version, which is called defocusing Ablowitz-Ladik lattice. We consider periodic boundary conditions with period $N$ and initial data sample according to the Gener
Externí odkaz:
http://arxiv.org/abs/2107.02303
Entanglement of two disjoint intervals in conformal field theory and the 2D Coulomb gas on a lattice
Publikováno v:
Phys. Rev. Lett. 127, 141605 (2021)
In the conformal field theories given by the Ising and Dirac models, when the system is in the ground state, the moments of the reduced density matrix of two disjoint intervals and of its partial transpose have been written as partition functions on
Externí odkaz:
http://arxiv.org/abs/2104.06994