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Mathematical Physics papers — page 164

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On the spectrum of quasi-periodic Schr\"odinger operators on Zd with C2-cosine type potentials
In this paper, we establish the Anderson localization, strong dynamical localization and the ( 12-)-H\"older continuity of the integrated density of states (IDS) for some multi-dimensional…
Hongyi Cao, Yunfeng Shi, Zhifei ZhangOct 11, 2023
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Plea for diagonals and telescopers of rational functions
This paper is a plea for diagonals and telescopers of rational, or algebraic, functions using creative telescoping, in a computer algebra experimental mathematics learn-by-examples approach. We show…
S. Hassani, J-M. Maillard, N. ZenineOct 10, 2023
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Resolving the evolution of natural fragment shapes
We propose a geometrically motivated mathematical model which reveals the key features of coastal and fluvial fragment shape evolution from the earliest stages of the abrasion. Our…
Balázs Havasi-Tóth, Eszter FehérOct 10, 2023
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Prethermalization for Deformed Wigner Matrices
We prove that a class of weakly perturbed Hamiltonians of the form Hλ = H0 + λ W, with W being a Wigner matrix, exhibits prethermalization. That is, the time evolution generated by…
László Erdős, Joscha Henheik, Jana Reker et al.Oct 10, 2023
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Factorization algebra
Factorization algebras are local-to-global objects living on manifolds, and they arise naturally in mathematics and physics. Their local structure encompasses examples like associative algebras and…
Kevin Costello, Owen GwilliamOct 9, 2023
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Modified rational six vertex model on the rectangular lattice
We consider a rational six vertex model on a rectangular lattice with boundary conditions that generalize the usual domain wall type. We find that the partition function of the inhomogeneous version…
S. Belliard, R. A. Pimenta, N. A. SlavnovOct 9, 2023
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New Partial Trace Inequalities and Distillability of Werner States
One of the oldest problems in quantum information theory is to study if there exists a state with negative partial transpose which is undistillable. This problem has been open for almost 30 years,…
Pablo Costa RicoOct 9, 2023
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Second Order Expansion of Gibbs State Reduced Density Matrices in the Gross-Pitaevskii Regime
We consider a translation-invariant system of N bosons in T3 that interact through a repulsive two-body potential with scattering length of order N-1 in the limit N ∞.…
Christian Brennecke, Jinyeop Lee, Phan Thành NamOct 9, 2023
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The Generalized Fokker-Planck Equation in terms of Dunkl-type Derivatives
In this work we introduce two different generalizations of the Fokker-Planck equation in (1+1) dimensions by replacing the spatial derivatives in terms of generalized Dunkl-type derivatives involving…
R. D. Mota, D. Ojeda-Guillén, M. A. XicoténcatlOct 8, 2023
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The Dunkl-Fokker-Planck Equation in 1+1 Dimensions
By replacing the spatial derivative with the Dunkl derivative, we generalize the Fokker-Planck equation in (1+1) dimensions. We obtain the Dunkl-Fokker-Planck eigenvalues equation and solve it for…
R. D. Mota, D. Ojeda-Guillén, M. A. XicoténcatlOct 8, 2023
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Griffiths-type theorems for short-range spin glass models
We establish relations between different characterizations of order in spin glass models. We first prove that the broadening of the replica overlap distribution indicated by a nonzero standard…
Chigak Itoi, Hisamitsu Mukaida, Hal TasakiOct 7, 2023
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Integrable systems on rectangular W-superalgebras via super Adler-type operators
In this paper, we introduce a class of super Adler-type operators associated with the Lie superalgebra gl(m|n). We show that these operators generate Poisson vertex superalgebras which…
Sylvain Carpentier, Gahng Sahn Lee, Uhi Rinn SuhOct 7, 2023
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Elliptic Calogero-Moser system, crossed and folded instantons, and bilinear identities
Affine analogues of the Q-functions are constructed using folded instantons partition functions. They are shown to be the solutions of the quantum spectral curve of the N-body elliptic Calogero-Moser…
Andrei Grekov, Nikita NekrasovOct 6, 2023
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Mean left-right eigenvector self-overlap in the real Ginibre ensemble
We study analytically the Chalker-Mehlig mean diagonal overlap O(z) between left and right eigenvectors associated with a complex eigenvalue z of N× N matrices in the real…
Tim R. Würfel, Mark J. Crumpton, Yan V. FyodorovOct 6, 2023
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Parametrizing Clifford Algebras' Matrix Generators with Euler Angles
A parametrization, given by the Euler angles, of Hermitian matrix generators of even and odd-degenerate Clifford algebras is constructed by means of the Kronecker product of a parametrized version of…
Manuel Beato Vásquez, Melvin Arias PolancoOct 6, 2023
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Sturm-Hurwitz Theorem for quantum graphs
We prove upper and lower bounds for the number of zeroes of linear combinations of Schr\"odinger eigenfunctions on metric (quantum) graphs. These bounds are distinct from both the interval and…
Ram Band, Philippe CharronOct 5, 2023
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Positive-density ground states of the Gross-Pitaevskii equation
We consider the nonlinear Gross-Pitaevskii equation at positive density, that is, for a bounded solution not tending to 0 at infinity. We focus on infinite ground states, which are by definition…
Mathieu Lewin, Phan Thành NamOct 5, 2023
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The Fermionic Entanglement Entropy and Area Law for the Relativistic Dirac Vacuum State
We consider the fermionic entanglement entropy for the free Dirac field in a bounded spatial region of Minkowski spacetime. In order to make the system ultraviolet finite, a regularization is…
Felix Finster, Magdalena Lottner, Alexander V. SobolevOct 5, 2023
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Local Max-Entropy and Free Energy Principles, Belief Diffusions and their Singularities
A comprehensive picture of three Bethe-Kikuchi variational principles including their relationship to belief propagation (BP) algorithms on hypergraphs is given. The structure of BP equations is…
Olivier PeltreOct 4, 2023
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Infinite volume Gibbs states of the generalized mean-field orthoplicial model
The generalized mean-field orthoplicial model is a mean-field model on a space of continuous spins on Rn that are constrained to a scaled (n-1)-dimensional 1-sphere, equivalently…
Kalle KoskinenOct 4, 2023
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Locality bounds for quantum dynamics at low energy
We discuss the generic slowing down of quantum dynamics in low energy density states of spatially local Hamiltonians. Beginning with quantum walks of a single particle, we prove that for certain…
Andrew Osborne, Chao Yin, Andrew LucasOct 4, 2023
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Momentum Distribution of a Fermi Gas in the Random Phase Approximation
We consider a system of interacting fermions on the three-dimensional torus in a mean-field scaling limit. Our objective is computing the occupation number of the Fourier modes in a trial state…
Niels Benedikter, Sascha LillOct 4, 2023
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Generalized time-dependent SIS Hamiltonian models: Exact solutions and quantum deformations
The theory of Lie-Hamilton systems is used to construct generalized time-dependent SIS epidemic Hamiltonians with a variable infection rate from the 'book' Lie algebra. Although these are…
Eduardo Fernandez-Saiz, Rutwig Campoamor-Stursberg, Francisco J. HerranzOct 4, 2023
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New Spectral Properties of Imaginary part of Gribov-Intissar Operator
In 1998, we have given in ([14] Intissar, A., Analyse de Scattering d'un op\'erateur cubique de Heun dans l'espace de Bargmann, Comm.Math.Phys.199 (1998) 243-256) the boundary conditions at infinity…
Abdelkader IntissarOct 3, 2023
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On non-commutative leapfrog map
We investigate the integrability of the non-commutative leapfrog map in this paper. Firstly, we derive the explicit formula for the non-commutative leapfrog map and corresponding discrete…
Bao Wang, Shi-Hao LiOct 3, 2023
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