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Mathematical Physics papers — page 171

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Enhanced Superconductivity at a Corner for the Linear BCS Equation
We consider the critical temperature for superconductivity, defined via the linear BCS equation. We prove that at weak coupling the critical temperature for a sample confined to a quadrant in two…
Barbara Roos, Robert SeiringerAug 14, 2023
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Superselection sectors in the 3d Toric Code
We rigorously define superselection sectors in the 3d (spatial dimensions) Toric Code Model on the infinite lattice Z3. We begin by constructing automorphisms that correspond to infinite…
Siddharth VadnerkarAug 14, 2023
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On enumerative problems for maps and quasimaps: freckles and scars
We address the question of counting maps between projective spaces such that images of cycles on the source intersect cycles on the target. In this paper we do it by embedding maps into quasimaps…
Olga Chekeres, Santosh Kandel, Andrey Losev et al.Aug 13, 2023
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Averages of products of characteristic polynomials and the law of real eigenvalues for the real Ginibre ensemble
An elementary derivation of the Borodin-Sinclair-Forrester-Nagao Pfaffian point process, which characterises the law of real eigenvalues for the real Ginibre ensemble in the large matrix size limit,…
Roger Tribe, Oleg ZaboronskiAug 13, 2023
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Statistics of local level spacings in single- and many-body quantum chaos
We introduce a notion of local level spacings and study their statistics within a random-matrix-theory approach. In the limit of infinite-dimensional random matrices, we determine universal sequences…
Peng Tian, Roman Riser, Eugene KanzieperAug 13, 2023
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A microscopic derivation of Gibbs measures for the 1D focusing quintic nonlinear Schr\"odinger equation
In this work, we obtain a microscopic derivation of Gibbs measures for the focusing quintic nonlinear Schr\"odinger equation (NLS) on T from many-body quantum Gibbs states. On the…
Andrew Rout, Vedran SohingerAug 12, 2023
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Existence of U(1) Gauged Q-balls for A Field Model with Sixth-order Potential
Q-balls are non-topological solitons in a large family of field theories. We focus on the existence of U(1) gauged Q-balls for a field theory with sixth-order potential. The problem can be reduced…
Xiaosen Han, Guange SuAug 12, 2023
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The fast recurrent subspace on an N-level quantum energy transport model
The fast recurrent subspace (the biggest support of all invariant states) of a Weak Coupling Limit Type Quantum Markov Semigroup modeling a quantum transport open system of N-energy levels is…
Jorge R. Bolaños-Servín, Josué I. Rios-Cangas, Alfredo UribeAug 11, 2023
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The Krein transform and semi-bounded extensions of semi-bounded linear relations
The Krein transform is the real counterpart of the Cayley transform and gives a one-to-one correspondence between the positive relations and symmetric contractions. It is treated with a slight…
Josué I. Rios-CangasAug 11, 2023
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Coarse geometry and its applications in solid state physics
In this article, we give an overview over recent developments in the mathematical treatment of topological insulators using coarse geometry.
Matthias LudewigAug 11, 2023
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Cluster expansion methods in rigorous statistical mechanics
This draft is intended to be used as class notes for a grad course on rigorous statistical mechanics at math department of UFMG. It should be considered as a very prelimivary version and a work in…
Aldo ProcacciAug 11, 2023
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Map enumeration from a dynamical perspective
This contribution summarizes recent work of the authors that combines methods from dynamical systems theory (discrete Painlev\'e equations) and asymptotic analysis of orthogonal polynomial…
Nicholas Ercolani, Joceline Lega, Brandon TippingsAug 11, 2023
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3-dimensional mirror symmetry
This expository article discusses recent advances in understanding 3-dimensional mirror symmetry and the mathematical definitions of the Higgs and Coulomb branches. This is a slightly expanded…
Ben Webster, Philsang YooAug 11, 2023
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On the local central limit theorem for interacting spin systems
We prove the equivalence between integral and local central limit theorem for spin system interacting via an absolutely summable pair potential without any conditions on the temperature of the system.
Aldo Procacci, Benedetto ScoppolaAug 11, 2023
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Stability of the non-Hermitian skin effect
This paper shows that the skin effect in systems of non-Hermitian subwavelength resonators is robust with respect to random imperfections in the system. The subwavelength resonators are highly…
Habib Ammari, Silvio Barandun, Bryn Davies et al.Aug 11, 2023
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Universality in the number variance and counting statistics of the real and symplectic Ginibre ensemble
In this article, we compute and compare the statistics of the number of eigenvalues in a centred disc of radius R in all three Ginibre ensembles. We determine the mean and variance as functions of…
Gernot Akemann, Sung-Soo Byun, Markus Ebke et al.Aug 10, 2023
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Commuting Kraus operators are normal
Let \V1, …, Vn \ be a set of mutually commuting matrices. We show that if V1* V1 + ·s +Vn* Vn = Id then the matrices are normal and, in particular, simultaneously…
Martin FraasAug 10, 2023
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On the Pauli group on 2-qubits in dynamical systems with pseudofermions
The group of matrices P1 of Pauli is a finite 2-group of order 16 and plays a fundamental role in quantum information theory, since it is related to the quantum information on the 1-qubit. Here we…
Fabio Bagarello, Yanga Bavuma, Francesco G. RussoAug 9, 2023
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Hypergeometric integrals, hook formulas and Whittaker vectors
We determine the coefficient of proportionality between two multidimensional hypergeometric integrals. One of them is a solution of the dynamical difference equations associated with a Young diagram…
G. Felder, A. Smirnov, V. Tarasov et al.Aug 9, 2023
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Functional Formalism for Algebraic Classical and Quantum Field Theories
In the first part of this thesis we study the generalization of the recent algebraic approach to classical field theory by proposing a more general setting based on the manifold of smooth sections of…
Andrea MoroAug 9, 2023
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Advances in theory of evolution equations of many colliding particles
The review presents rigorous results of the theory of fundamental equations of evolution of many-particle systems with collisions and also considers their connection with nonlinear kinetic equations…
V. I. Gerasimenko, I. V. GapyakAug 8, 2023
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Lie reductions and exact solutions of dispersionless Nizhnik equation
We exhaustively classify the Lie reductions of the real dispersionless Nizhnik equation to partial differential equations in two independent variables and to ordinary differential equations. Lie and…
Oleksandra O. Vinnichenko, Vyacheslav M. Boyko, Roman O. PopovychAug 7, 2023
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Quasi-classical approximation of monopole harmonics
Using the generalization of the multidimensional WKB method to magnetic Laplacians corresponding to monopoles, which we proposed earlier, we obtain explicit formulas for quasi-classical…
Y. A. Kordyukov, I. A. TaimanovAug 7, 2023
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On global attraction to solitons for 3D Maxwell-Lorentz equations
We consider the Maxwell field coupled to a single rotating charge. This Hamiltonian system admits soliton-type solutions, where the field is static, while the charge rotates with constant angular…
E. A. Kopylova, A. I. KomechAug 7, 2023
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Mapping partition functions
We introduce an infinite group action on partition functions of WK type, meaning of the type of the partition function Z WK in the famous result of Witten and Kontsevich expressing the…
Di Yang, Don ZagierAug 7, 2023
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