Non-perturbative Solution of the 1d Schrodinger Equation Describing Photoemission from a Sommerfeld model Metal by an Oscillating FieldWe analyze non-perturbatively the one-dimensional Schr\"odinger equation describing the emission of electrons from a model metal surface by a classical oscillating electric field. Placing the metal…Ovidiu Costin, Rodica Costin, Ian Jauslin et al.·Sep 15, 2022SaveLearn
The lambda extensions of the Ising correlation functions C(M, N)We revisit, with a pedagogical heuristic motivation, the lambda extension of the low-temperature row correlation functions C(M,N) of the two-dimensional Ising model. In particular, using these…S. Boukraa, J-M. Maillard·Sep 15, 2022SaveLearn
Weak and strong confinement in the Freud random matrix ensemble and gap probabilitiesThe Freud ensemble of random matrices is the unitary invariant ensemble corresponding to the weight (-n |x|β), β>0, on the real line. We consider the local behaviour of eigenvalues…Tom Claeys, Igor Krasovsky, Oleksandr Minakov·Sep 15, 2022SaveLearn
Derivation of Euler equations from quantum and classical microscopic dynamicsWe derive Euler equations from a Hamiltonian microscopic dynamics. The microscopic system is a one-dimensional disordered harmonic chain, and the dynamics is either quantum or classical. This chain…Amirali Hannani, François Huveneers·Sep 14, 2022SaveLearn
Quasi-Classical Spin-Boson ModelsIn this short note we study Spin-Boson Models from the Quasi-Classical standpoint. In the Quasi-Classical limit, the field becomes macroscopic while the particles it interacts with, they remain…Michele Correggi, Marco Falconi, Marco Merkli·Sep 14, 2022SaveLearn
Spontaneous mass generation and chiral symmetry breaking in a lattice Nambu-Jona-Lasinio modelWe study a lattice Nambu-Jona-Lasinio model with interacting staggered fermions in the Kogut-Susskind Hamiltonian formalism. The model has a discrete chiral symmetry but not the usual continuous…Yukimi Goto, Tohru Koma·Sep 13, 2022SaveLearn
Moments of Moments of the Characteristic Polynomials of Random Orthogonal and Symplectic MatricesUsing asymptotics of Toeplitz+Hankel determinants, we establish formulae for the asymptotics of the moments of the moments of the characteristic polynomials of random orthogonal and symplectic…Tom Claeys, Johannes Forkel, Jonathan P. Keating·Sep 13, 2022SaveLearn
A Discrete Hamilton--Jacobi Theory for Contact Hamiltonian DynamicsIn this paper, we propose a discrete Hamilton--Jacobi theory for (discrete) Hamiltonian dynamics defined on a (discrete) contact manifold. To this end, we first provide a novel geometric…Oğul Esen, Cristina Sardón, Marcin Zajac·Sep 13, 2022SaveLearn
On the Thermodynamics of the q-ParticlesSince the grand partition function Zq for the so-called q-particles (i.e.,\ quons), q∈(-1,1), cannot be computed by using the standard 2nd quantisation technique involving the full Fock…Fabio Ciolli, Francesco Fidaleo·Sep 13, 2022SaveLearn
Geometric criteria for the absence of effective many-body interactions in nonadditive hard particle mixturesWe consider a mixture of small and big classical particles in arbitrary spatial dimensions interacting via hard-body potentials with non-additive excluded-volume interactions. In particular, we focus…René Wittmann, Sabine Jansen, Hartmut Löwen·Sep 13, 2022SaveLearn
Lorentz violation in a family of (1+2)-dimensional wormholeWe study neutral Dirac particles confined to a family of (1+2)-dimensional wormholes arising from surfaces of revolution with a constant negative Gaussian curvature, in the framework of a…Soroush Zare, Marc de Montigny, Hao Chen et al.·Sep 12, 2022SaveLearn
Shannon information entropy for a quantum nonlinear oscillator on a space of non-constant curvatureThe so-called Darboux III oscillator is an exactly solvable N-dimensional nonlinear oscillator defined on a radially symmetric space with non-constant negative curvature. This oscillator can be…Angel Ballesteros, Ivan Gutierrez-Sagredo·Sep 12, 2022SaveLearn
Fluctuations of Quantum Lattice Systems under Boltzmann EvolutionFor quantum lattice systems a Boltzmann-type evolution arrises according to results of Hugenholtz in the limit of N-scaled time evolution together with an interaction scaled as N-1/2. According ti…Heide Narnhofer·Sep 12, 2022SaveLearn
Power spectrum of the circular unitary ensembleWe study the power spectrum of eigen-angles of random matrices drawn from the circular unitary ensemble CUE(N) and show that it can be evaluated in terms of either a Fredholm determinant, or…Roman Riser, Eugene Kanzieper·Sep 10, 2022SaveLearn
Quadratic first integrals of constrained autonomous conservative dynamical systems with fixed energyWe consider autonomous conservative dynamical systems which are constrained with the condition that the total energy of the system has a specified value. We prove a theorem which provides the…Antonios Mitsopoulos, Michael Tsamparlis·Sep 10, 2022SaveLearn
On the mass dependence of the modular operator for a double coneWe present a numerical approximation scheme for the Tomita-Takesaki modular operator of local subalgebras in linear quantum fields, working at one-particle level. This is applied to the local…Henning Bostelmann, Daniela Cadamuro, Christoph Minz·Sep 10, 2022SaveLearn
Eigenvalue Fluctuations of 1-dimensional random Schr\"odinger operatorsAs an extension to the paper by Breuer, Grinshpon, and White B, we study the linear statistics for the eigenvalues of the Schr\"odinger operator with random decaying potential with order…Takuto Mashiko, Yuma Marui, Naoki Maruyama et al.·Sep 10, 2022SaveLearn
The Steady States of Isotone Electric SystemsThe steady states of an isotone electric system are described by an isotone function with respect to the componentwise order. When there are steady states, we highlight a dominant steady state and we…Dan Comănescu·Sep 9, 2022SaveLearn
Antinormally-Ordered Quantizations, phase space path integrals and the Olshanski semigroup of a symplectic groupThe main aim of this article is to show some intimate relations among the following three notions: (1) the metaplectic representation of Sp(2n,R) and its extension to some semigroups,…Hideyasu Yamashita·Sep 9, 2022SaveLearn
Quantitative Green's Function Estimates for Lattice Quasi-periodic Schr\"odinger OperatorsIn this paper, we establish quantitative Green's function estimates for some higher dimensional lattice quasi-periodic (QP) Schr\"odinger operators. The resonances in the estimates can be described…Hongyi Cao, Yunfeng Shi, Zhifei Zhang·Sep 8, 2022SaveLearn
Limiting absorption principle and radiation conditions for Schr\"odinger operators with long-range potentialsWe show Rellich's theorem, the limiting absorption principle, and a Sommerfeld uniqueness result for a wide class of one-body Schr\"odinger operators with long-range potentials, extending and…Martin Dam Larsen·Sep 7, 2022SaveLearn
Bose Condensate for Quasifree FermionsWe construct the fluctuation algebra for fermions in a quasifree state and its timedependence for quasifree evolutions. We find a Bose-Einstein-condensate and study its stability under interaction.Heide Narnhofer·Sep 7, 2022SaveLearn
Stationary measures of the KPZ equation on an interval from Enaud-Derrida's matrix product ansatz representationThe stationary measures of the Kardar-Parisi-Zhang equation on an interval have been computed recently. We present a rather direct derivation of this result by taking the weak asymmetry limit of the…Guillaume Barraquand, Pierre Le Doussal·Sep 7, 2022SaveLearn
Bulk-interface correspondences for one dimensional topological materials with inversion symmetryThe interface between two materials described by spectrally gapped Hamiltonians is expected to host an in-gap interface mode, whenever a certain topological invariant changes across the interface. We…Guo Chuan Thiang, Hai Zhang·Sep 7, 2022SaveLearn
Skeleton structure inherent in discrete-time quantum walksIn this paper, we claim that a common underlying structure--a skeleton structure--is present behind discrete-time quantum walks (QWs) on a one-dimensional lattice with a homogeneous coin matrix. This…Tomoki Yamagami, Etsuo Segawa, Ken'ichiro Tanaka et al.·Sep 7, 2022SaveLearn