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Mathematical Physics papers — page 252

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Approximations of interface topological invariants
This paper concerns the asymmetric transport observed along interfaces separating two-dimensional bulk topological insulators modeled by (continuous) differential Hamiltonians and how such asymmetry…
Solomon Quinn, Guillaume BalDec 5, 2021
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On Bose-Einstein condensates in the Thomas-Fermi regime
We study a system of N trapped bosons in the Thomas-Fermi regime with an interacting pair potential of the form gN N3β-1 V(Nβx) , for some β∈(0,1/3) and gN diverging as $ N …
Daniele Dimonte, Emanuela L. GiacomelliDec 4, 2021
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Abelian duality in topological field theory
We prove a topological version of abelian duality where the gauge groups are finite abelian. The theories are finite homotopy TFTs, topological analogues of the p-form U(1) gauge theories. Using…
Yu Leon LiuDec 4, 2021
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Large deviation estimates for weakly interacting bosons
We study the many-body dynamics of an initially factorized bosonic wave function in the mean-field regime. We prove large deviation estimates for the fluctuations around the condensate. We derive an…
Simone Rademacher, Robert SeiringerDec 3, 2021
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WDVV equations: Hamiltonian operators and symbolic computations
We describe software for symbolic computations that we developed in order to find Hamiltonian operators for Witten--Dijkgraaf--Verlinde--Verlinde (WDVV) equations, and verify their compatibility. The…
Jakub Vašíček, Raffaele VitoloDec 3, 2021
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Second Rényi entropy and annulus partition function for one-dimensional quantum critical systems with boundaries
We consider the entanglement entropy in critical one-dimensional quantum systems with open boundary conditions. We show that the second Rényi entropy of an interval away from the boundary can be…
Benoit Estienne, Yacine Ikhlef, Andrei RotaruDec 3, 2021
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On Vertex Conditions In Elastic Beam Frames: Analysis on Compact Graphs
We consider three-dimensional elastic frames constructed out of Euler-Bernoulli beams and describe extension of matching conditions by relaxing the vertex-rigidity assumption and the case in which…
Soohee Bae, Mahmood EttehadDec 2, 2021
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The second law of thermodynamics as a deterministic theorem for quantum spin systems
We review our approach to the second law of thermodynamics, viewed as a theorem asserting the growth of the mean (Gibbs-von Neumann) entropy of quantum spin systems undergoing automorphic (unitary)…
Walter F. WreszinskiDec 2, 2021
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The Bott index of two unitary operators and the integer quantum Hall effect
The Bott index of two unitary operators on an infinite dimensional Hilbert space is defined. homotopic invariance with respect to multiplicative unitary perturbations of the type identity plus trace…
Daniele TonioloDec 2, 2021
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Asymptotic stability of small bound state of nonlinear quantum walks
In this paper, we study the long time behavior of nonlinear quantum walks when the initial data is small in l2. In particular, we study the case where the linear part of the quantum walk evolution…
Masaya MaedaDec 2, 2021
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Beyond the 10-fold way: 13 associative Z2× Z2-graded superdivision algebras
The "10-fold way" refers to the combined classification of the 3 associative division algebras (of real, complex and quaternionic numbers) and of the 7, Z2-graded,…
Zhanna Kuznetsova, Francesco ToppanDec 1, 2021
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Yang-Mills-Scalar-Matter Fields in the Two-Point Space
The purpose of this work is to present a Non--Commutative Geometrical version of the Yang--Mills Theory and the Yang--Mills Scalar Matter Theory by constructing a concrete example using M.…
Gustavo Amilcar Saldaña MoncadaDec 1, 2021
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The semi-direct product of Poisson G-spaces
The notion of semi-direct product of Poisson G-spaces is applied to illuminate examples arising in spin-extensions of Ruijsenaars models.
Ian MarshallDec 1, 2021
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Vorticity equation on surfaces with arbitrary topology
We derive the vorticity equation for an incompressible fluid on a 2-dimensional surface with arbitrary topology embedded in 3-dimensional Euclidean space by using a tailored Clebsch parametrization…
Naoki Sato, Michio YamadaDec 1, 2021
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A decoupling property of some Poisson structures on Matn× d(C) × Matd× n(C) supporting GL(n,C) × GL(d,C) Poisson-Lie symmetry
We study a holomorphic Poisson structure defined on the linear space S(n,d):= Matn× d(C) × Matd× n(C) that is covariant under the natural left…
M. Fairon, L. FeherDec 1, 2021
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On the discrete Dirac spectrum of a point electron in the zero-gravity Kerr-Newman spacetime
The discrete spectrum of the Dirac operator for a point electron in the maximal analytically extended Kerr--Newman spacetime is determined in the zero-G limit (zGKN), under some restrictions on…
Michael K. -H. Kiessling, Eric Ling, A. Shadi Tahvildar-ZadehNov 30, 2021
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On the logarithmic bipartite fidelity of the open XXZ spin chain at Δ=-1/2
The open XXZ spin chain with the anisotropy Δ=-12 and a one-parameter family of diagonal boundary fields is studied at finite length. A determinant formula for an overlap involving the spin…
Christian Hagendorf, Gilles ParezNov 30, 2021
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Localization in quantum walks with periodically arranged coin matrices
There is a property called localization, which is essential for applications of quantum walks. From a mathematical point of view, the occurrence of localization is known to be equivalent to the…
Chusei KiumiNov 30, 2021
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The Brownian loop soup stress-energy tensor
The Brownian loop soup (BLS) is a conformally invariant statistical ensemble of random loops in two dimensions characterized by an intensity λ>0. Recently, we constructed families of operators in…
Federico Camia, Valentino F. Foit, Alberto Gandolfi et al.Nov 30, 2021
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Hypergeometric Structures in Feynman Integrals
Hypergeometric structures in single and multiscale Feynman integrals emerge in a wide class of topologies. Using integration-by-parts relations, associated master or scalar integrals have to be…
J. Blümlein, M. Saragnese, C. SchneiderNov 30, 2021
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Bailey pairs for the q-hypergeometric integral pentagon identity
In this work, we construct a new Bailey pairs for the integral pentagon identity in terms of q-hypergeometric functions. The pentagon identity considered here represents equality of the partition…
Ilmar Gahramanov, Osman Erkan KalucNov 29, 2021
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Uniform tail asymptotics for Airy kernel determinant solutions to KdV and for the narrow wedge solution to KPZ
We obtain uniform asymptotics for deformed Airy kernel determinants, which arise in models of finite temperature free fermions and which characterize the narrow wedge solution of the…
Christophe Charlier, Tom Claeys, Giulio RuzzaNov 29, 2021
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Quantization in Cartesian coordinates and the Hofer metric
P.A.M. Dirac had stated that the Cartesian coordinates are uniquely suited for expressing the canonical commutation relations in a simple form. By contrast, expressing these commutation relations in…
Nikolaos Kalogeropoulos, Christos KokorelisNov 29, 2021
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Localization of space-inhomogeneous three-state quantum walks
Mathematical analysis on the existence of eigenvalues is essential because it is equivalent to the occurrence of localization, which is an exceptionally crucial property of quantum walks. We…
Chusei KiumiNov 29, 2021
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Conformal Hypergeometry and Integrability
Conformal field theories play a central role in modern theoretical physics with many applications to the understanding of phase transitions, gauge theories and even the quantum physics of gravity,…
Volker SchomerusNov 29, 2021
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