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Mathematical Physics papers — page 204

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Categories of Lagrangian Correspondences in Super Hilbert Spaces and Fermionic Functorial Field Theory
In this paper, we study Lagrangian correspondences between Hilbert spaces. A main focus is the question when the composition of two Lagrangian correspondences is again Lagrangian. Our answer leads in…
Matthias LudewigDec 6, 2022
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Quantization of Lorentzian free BV theories: factorization algebra vs algebraic quantum field theory
We construct and compare two alternative quantizations, as a time-orderable prefactorization algebra and as an algebraic quantum field theory valued in cochain complexes, of a natural collection of…
Marco Benini, Giorgio Musante, Alexander SchenkelDec 5, 2022
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Power law logarithmic bounds of moments for long range operators in arbitrary dimension
We show that the sublinear bound of the bad Green's functions implies explicit logarithmic bounds of moments for long range operators in arbitrary dimension.
Wencai LiuDec 5, 2022
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Bi-orthogonal eigen-spinors related to T-pseudo-Hermitian Pauli Hamiltonian : Time reversal and Clifford Algebra
A set of two-parameter bi-orthogonal eigen-spinors has been constructed from a deformed pseudo- Hermitian extension of Pauli Hamiltonian and its Hermitian conjugate. The Hamiltonians thus obtained…
Arindam ChakrabortyDec 5, 2022
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An algebraic quantum field theoretic approach to toric code with gapped boundary
Topologically ordered quantum spin systems have become an area of great interest, as they may provide a fault-tolerant means of quantum computation. One of the simplest examples of such a spin system…
Daniel WallickDec 4, 2022
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Soliton resolution and asymptotic stability of N-solitons to the Degasperis-Procesi equation on the line
The Degasperis-Procesi (DP) equation align &ut-utxx+3 ux+4uux=3ux uxx+uuxxx, align serving as a model delineating the propagation of shallow water waves,…
Xuan Zhou, Zhaoyu Wang, Engui FanDec 4, 2022
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Heisenberg dynamics for non self-adjoint Hamiltonians: symmetries and derivations
In some recent literature the role of non self-adjoint Hamiltonians, H≠ H, is often considered in connection with gain-loss systems. The dynamics for these systems is, most of the times,…
Fabio BagarelloDec 3, 2022
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From fermionic spin-Calogero-Sutherland models to the Haldane-Shastry chain by freezing
The Haldane-Shastry spin chain has a myriad of remarkable properties, including Yangian symmetry and, for spin 1/2, explicit highest-weight eigenvectors featuring (the case α = 1/2 of) Jack…
Jules Lamers, Didina SerbanDec 2, 2022
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Intersection theory of the complex quartic Kontsevich model
We expand correlation functions of the Langmann-Szabo-Zarembo (LSZ) model in terms of intersection numbers on the moduli space of complex curves. This provides an explicit, physically motivated…
Finn Bjarne Kohl, Raimar WulkenhaarDec 2, 2022
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Symmetric deformed 2D/3D Hurwitz-Kontsevich model and affine Yangian of gl(1)
Since the (β-deformed) Hurwitz Kontsevich model corresponds to the special case of affine Yangian of gl(1). In this paper, we construct two general cases of the β-deformed…
Na Wang, Ke WuDec 2, 2022
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Morse theory for discrete magnetic operators and nodal count distribution for graphs
Given a discrete Schr\"odinger operator h on a finite connected graph G of n vertices, the nodal count φ(h,k) denotes the number of edges on which the k-th eigenvector changes sign. A…
Lior Alon, Mark GoreskyDec 1, 2022
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The complex elliptic Ginibre ensemble at weak non-Hermiticity: bulk spacing distributions
We show that the distribution of bulk spacings between pairs of adjacent eigenvalue real parts of a random matrix drawn from the complex elliptic Ginibre ensemble is asymptotically given by a…
Thomas Bothner, Alex LittleDec 1, 2022
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The canonical BV Laplacian on half-densities
This is a didactical review on the canonical BV Laplacian on half-densities.
Alberto S. CattaneoDec 1, 2022
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Density functional theory for homogeneous two dimensional materials with magnetic fields
This paper studies DFT models for homogeneous 2D materials in 3D space, under a constant perpendicular magnetic field. We show how to reduce the three--dimensional energy functional to a…
David Gontier, Salma Lahbabi, Abdallah MaichineDec 1, 2022
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Natural differential invariants and equivalence of third order nonlinear differential operators
We give a description of the field of rational natural differential invariants for a class of nonlinear differential operators of the third order on a two dimensional manifold and show their…
Valentin Lychagin, Valeriy YumaguzhinDec 1, 2022
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A universal formula for the x-y swap in topological recursion
We prove a recent conjecture of Borot et al. that a particular universal closed algebraic formula recovers the correlation differentials of topological recursion after the swap of x and y in the…
Alexander Alexandrov, Boris Bychkov, Petr Dunin-Barkowski et al.Dec 1, 2022
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Existence and Uniqueness of Constraint Minimizers for the Planar Schrodinger-Poisson System with Logarithmic Potentials
In this paper, we study constraint minimizers u of the planar Schr\"odinger-Poisson system with a logarithmic convolution potential |x| u2 and a logarithmic external potential $V(x)=…
Yujin Guo, Wenning Liang, Yan LiDec 1, 2022
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Trial states for Bose gases: singular scalings and non-integrable potentials
We review two results in which trial states for bosonic Hamiltonians were discussed. The problem of finding a trial state for a system with a hard-core potential in the Gross-Pitaevskii regime was…
Alessandro OlgiatiNov 30, 2022
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The generalized Giambelli formula and polynomial KP and CKP tau-functions
The first part of the paper is devoted to two descriptions of all polynomial tau-functions of the KP hierarchy: by a generalized Jacobi-Trudy formula, and a generalized Giambelli formula. We use the…
Victor Kac, Johan van de LeurNov 30, 2022
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The Herglotz variational principle for dissipative field theories
In the recent years, with the incorporation of contact geometry, there has been a renewed interest in the study of dissipative or non-conservative systems in physics and other areas of applied…
Jordi Gaset, Manuel Lainz, Arnau Mas et al.Nov 30, 2022
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Recursion Relation for Toeplitz Determinants and the Discrete Painlev\'e II Hierarchy
Solutions of the discrete Painlev\'e II hierarchy are shown to be in relation with a family of Toeplitz determinants describing certain quantities in multicritical random partitions models, for which…
Thomas Chouteau, Sofia TarriconeNov 30, 2022
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Adiabatic Evolution of Low-Temperature Many-Body Systems
We consider finite-range, many-body fermionic lattice models and we study the evolution of their thermal equilibrium state after introducing a weak and slowly varying time-dependent perturbation.…
Rafael L. Greenblatt, Markus Lange, Giovanna Marcelli et al.Nov 30, 2022
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Entropy fluctuation formulas of fermionic Gaussian states
We study the statistical behaviour of quantum entanglement in bipartite systems over fermionic Gaussian states as measured by von Neumann entropy. The formulas of average von Neumann entropy with and…
Youyi Huang, Lu WeiNov 30, 2022
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Generating function of monodromy symplectomorphism for 2× 2 Fuchsian systems and its WKB expansion
We study the WKB expansion of 2× 2 system of linear differential equations with four fuchsian singularities. The main focus is on the generating function of the monodromy symplectomorphism…
Marco Bertola, Fabrizio Del Monte, Dmitry KorotkinNov 29, 2022
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A geometrical approach to nontrivial topology via exotic spinors
Exotic spinors arise in non-simply connected base manifolds due to the nonequivalent spinor structure. The dynamics of exotic spinors are endowed with an additional differential factor. In this work,…
J. M. Hoff da Silva, R. T. Cavalcanti, D. Beghetto et al.Nov 29, 2022
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