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Mathematical Physics papers — page 245

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Analytic bound on the excess charge for the Hartree Model
We prove an analytic bound on the excess charge for the Hartree equation in the atomic case.
Rafael D. Benguria, Trinidad TubinoJan 31, 2022
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Surgery transformations and eigenvalue estimates for quantum graphs with δ' vertex interactions
We extend the surgical tool box for quantum graphs to anti-standard and δ' vertex conditions. Monotonicity properties of eigenvalues of graph Laplacian with δ' interactions at vertices…
Aftab Ali, Muhammad UsmanJan 31, 2022
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Universality for multiplicative statistics of Hermitian random matrices and the integro-differential Painlevé II equation
We study multiplicative statistics for the eigenvalues of unitarily-invariant Hermitian random matrix models. We consider one-cut regular polynomial potentials and a large class of multiplicative…
Promit Ghosal, Guilherme L. F. SilvaJan 31, 2022
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Combinatorial Cell Complexes: Duality, reconstruction and causal cobordisms
This thesis proposes a framework based on a notion of combinatorial cell complex (cc) whose cells are defined simply as finite sets of vertices. The cells of a cc are subject to four axioms involving…
Maxime SavoyJan 30, 2022
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The tensor Harish-Chandra--Itzykson--Zuber integral II: detecting entanglement in large quantum systems
We consider the recently introduced generalization of the Harish-Chandra--Itzykson--Zuber integral to tensors and discuss its asymptotic behavior when the characteristic size N of the tensors is…
Benoît Collins, Razvan Gurau, Luca LionniJan 30, 2022
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Hyperbolic band theory through Higgs bundles
Hyperbolic lattices underlie a new form of quantum matter with potential applications to quantum computing and simulation and which, to date, have been engineered artificially. A corresponding…
Elliot Kienzle, Steven RayanJan 30, 2022
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Investigation of the two-cut phase region in the complex cubic ensemble of random matrices
We investigate the phase diagram of the complex cubic unitary ensemble of random matrices with the potential V(M)=-13M3+tM where t is a complex parameter. As proven in our previous…
Ahmad Barhoumi, Pavel M. Bleher, Alfredo Deaño et al.Jan 30, 2022
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Gibbs measures of the Ising model with mixed spin-1 and spin-1/2 on a Cayley tree
In the present paper, the Ising model with mixed spin-(1,1/2) is considered on the second order Cayley tree. A construction of splitting Gibbs measures corresponding the model is given which allows…
Hasan Akin, Farrukh MukhamedovJan 29, 2022
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Hydrodynamic behavior of the 2-TASEP
We address the question of the large scale or hydrodynamic behavior of a 2-species generalization of TASEP (2-TASEP), consisting of two kinds of particles, moving in opposite directions and swapping…
Luigi Cantini, Ali ZahraJan 28, 2022
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Integrable systems, separation of variables and the Yang-Baxter equation
This article, based on the author's PhD thesis, reviews recent advancements in the field of quantum integrability, in particular the separation of variables (SoV) program for high-rank integrable…
Paul RyanJan 28, 2022
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A fractal uncertainty principle for Bergman spaces and analytic wavelets
Motivated by results of Dyatlov on Fourier uncertainty principles for Cantor sets and by similar results of Knutsen for joint time-frequency representations (i.e., the short-time Fourier transform…
Luis Daniel Abreu, Zouhair Mouayn, Felix VoigtlaenderJan 27, 2022
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A Calculus for Magnetic Pseudodifferential Super Operators
This work develops a magnetic pseudodifferential calculus for super operators OpA(F); these map operators onto operators (as opposed to Lp functions onto Lq functions). Here, F could be a tempered…
Gihyun Lee, Max LeinJan 27, 2022
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The de Sitter group and its representations: a window on the notion of de Sitterian elementary systems
We review the construction of ("free") elementary systems in de Sitter (dS) spacetime, in the Wigner sense, as associated with unitary irreducible representations (UIR's) of the dS (relativity)…
Mohammad Enayati, Jean-Pierre Gazeau, Hamed Pejhan et al.Jan 27, 2022
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Bundle Theoretic Descriptions of Massless Single-Particle State Spaces; How do we perceive a moving quantum particle
Recently, a bundle theoretic description of massive single-particle state spaces, which is better suited for Relativistic Quantum Information Theory than the ordinary Hilbert space description, has…
Heon LeeJan 27, 2022
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Right large deviation principle for the top eigenvalue of the sum or product of invariant random matrices
In this note we study the right large deviation of the top eigenvalue (or singular value) of the sum or product of two random matrices A and B as their dimensions goes to…
Pierre Mergny, Marc PottersJan 27, 2022
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On the number of p-hypergeometric solutions of KZ equations
It is known that solutions of the KZ equations can be written in the form of multidimensional hypergeometric integrals. In 2017 in a joint paper of the author with V. Schechtman the construction of…
Alexander VarchenkoJan 27, 2022
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On the behavior of multidimensional axisymmetric solutions of the repulsive Euler-Poisson equations
It is proved that the radially symmetric solutions of the repulsive Euler-Poisson equations with a non-zero background, corresponding to cold plasma oscillations blow up in many spatial dimensions…
Olga S. RozanovaJan 26, 2022
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Rényi entropies of the free Fermi gas in multi-dimensional space at high temperature
We study the local and (bipartite) entanglement Rényi entropies of the free Fermi gas in multi-dimensional Euclidean space Rd in thermal equilibrium. We prove positivity of the…
Hajo Leschke, Alexander V. Sobolev, Wolfgang SpitzerJan 26, 2022
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Boltzmann-Gibbs Random Fields with Mesh-free Precision Operators Based on Smoothed Particle Hydrodynamics
Boltzmann-Gibbs random fields are defined in terms of the exponential expression exp(-H), where H is a suitably defined energy functional of the field states x(s). This paper presents a new…
Dionissios T. HristopulosJan 26, 2022
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Linear stability of semiclassical theories of gravity
The linearization of semiclassical theories of gravity is investigated in a toy model, consisting of a quantum scalar field in interaction with a second classical scalar field which plays the role of…
Paolo Meda, Nicola PinamontiJan 25, 2022
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Quantization of derived cotangent stacks and gauge theory on directed graphs
We study the quantization of the canonical unshifted Poisson structure on the derived cotangent stack T[X/G] of a quotient stack, where X is a smooth affine scheme with an action of a…
Marco Benini, Jonathan P. Pridham, Alexander SchenkelJan 25, 2022
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Self-adjoint extension schemes and modern applications to quantum Hamiltonians
This monograph contains revised and enlarged materials from previous lecture notes of undergraduate and graduate courses and seminars delivered by both authors over the last years on a subject that…
Matteo Gallone, Alessandro MichelangeliJan 25, 2022
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On evolving natural curvature for an inextensible, unshearable, viscoelastic rod
We formulate and consider the problem of an inextensible, unshearable, viscoelastic rod, with evolving natural configuration, moving on a plane. We prove that the dynamic equations describing…
K. R. Rajagopal, Casey RodriguezJan 25, 2022
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Hydrodynamic behavior of long-range symmetric exclusion with a slow barrier: superdiffusive regime
We analyse the hydrodynamical behavior of the long jumps symmetric exclusion process in the presence of a slow barrier. The jump rates are given by a symmetric transition probability p(·) with…
Pedro Cardoso, Patrícia Gonçalves, Byron Jiménez-OviedoJan 25, 2022
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Heisenberg models and Schur--Weyl duality
We present a detailed analysis of certain quantum spin systems with inhomogeneous (non-random) mean-field interactions. Examples include, but are not limited to, the interchange- and spin singlet…
Jakob Björnberg, Hjalmar Rosengren, Kieran RyanJan 25, 2022
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