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Mathematical Physics papers — page 163

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A BBGKY-like Hierarchy for Quantum Field Theories
We present a Hamiltonian method of constructing BBGKY-like hierarchies for quantum field theories. With suitable choices, our method creates a hierarchical system of evolution equations for the k-th…
Michael Updike, Joshua BurbyOct 17, 2023
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On two possible ways to recover Ordinary Thermodynamics from Extended Thermodynamics of Polyatomic gases
We consider two possible ways, i.e., the Maxwellian Iteration and the Chapman-Enskog Method, to recover Relativistic Ordinary Thermodynamics from Relativistic Extended Thermodynamics of Polyatomic…
F. Demontis, S. PennisiOct 16, 2023
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Hyperbolic monopoles with continuous symmetries
We provide a framework to classify hyperbolic monopoles with continuous symmetries and find a Structure Theorem, greatly simplifying the construction of all those with spherically symmetry. In doing…
C. J. LangOct 16, 2023
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A note on two-times measurement entropy production and modular theory
Recent theoretical investigations of the two-times measurement entropy production (2TMEP) in quantum statistical mechanics have shed a new light on the mathematics and physics of the…
Tristan Benoist, Laurent Bruneau, Vojkan Jaksic et al.Oct 16, 2023
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Diagonalization in a quantum kicked rotor model with non-analytic potential
In this paper we study the lattice quasi-periodic operators with power-law long-range hopping and meromorphic monotone potentials, and diagonalize the operators via a Nash-Moser iteration scheme. As…
Yunfeng Shi, Li WenOct 16, 2023
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Pointwise modulus of continuity of the Lyapunov exponent and integrated density of states for analytic multi-frequency quasiperiodic M(2, C) cocycles
It is known that the Lyapunov exponent for multifrequency analytic cocycles is weak-H\"older continuous in cocycle for certain Diophantine frequencies, and that this implies certain regularity of the…
Matthew PowellOct 16, 2023
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Conservation law and Lie symmetry analysis of the (1+1) dimensional dispersive long-wave equation
In this paper, we mainly study the integrability of 1+1 dimensional dispersive long-wave equation. Firstly, the Lie symmetry analysis of the equation is carried out in the first part. And the optimal…
Long Ju, Faiza Afzal, Yufeng ZhangOct 16, 2023
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An application of the nonlinear reciprocal transformations in the theory of DR hierarchies
We prove that the DR hierarchy corresponding to the family of F-cohomological field theories without unit considered in a previous work of the first author together with D. Gubarevich can be…
Alexandr Buryak, Mikhail TroshkinOct 16, 2023
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Entropic regularised optimal transport in a noncommutative setting
This survey has been written in occasion of the School and Workshop about Optimal Transport on Quantum Structures at Erd\"os Center in September 2022. We discuss some recent results on noncommutative…
Lorenzo PortinaleOct 16, 2023
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Stochastic 1d Burgers equation as a model for hydrodynamical turbulence
This work is a review with proofs of a group of results on the stochastic Burgers equation with small viscosity, obtained during the last two decades. These results jointly show that the equation…
Sergei KuksinOct 16, 2023
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A lattice model with Fibonacci degree of degeneracy
In this paper, we explore two different methods of finding the degrees of degeneracy for lattice model systems, specifically constructing one with a Fibonacci degree of degeneracy. We also calculate…
Athena WangOct 16, 2023
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Decoherence is an echo of Anderson localization in open quantum systems
We study the time evolution of single-particle quantum states described by a Lindblad master equation with local terms. By means of a geometric resolvent equation derived for Lindblad generators, we…
Frederik Ravn Klausen, Simone WarzelOct 15, 2023
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Spacing distribution for quantum Rabi models
The asymmetric quantum Rabi model (AQRM) is a fundamental model in quantum optics describing the interaction of light and matter. Besides its immediate physical interest, the AQRM possesses an…
Daniel Braak, Linh Thi Hoai Nguyen, Cid Reyes-Bustos et al.Oct 15, 2023
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Asymptotic symmetries of gravity in the gauge PDE approach
We propose a framework to study local gauge theories on manifolds with boundaries and asymptotic symmetries, which is based on representing them as so-called gauge PDEs. These objects extend the…
Maxim Grigoriev, Mikhail MarkovOct 14, 2023
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From decay of correlations to locality and stability of the Gibbs state
We show that whenever the Gibbs state of a quantum spin system satisfies decay of correlations, then it is stable, in the sense that local perturbations affect the Gibbs state only locally, and it…
Ángela Capel, Massimo Moscolari, Stefan Teufel et al.Oct 13, 2023
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Extended coupled SUSY, pseudo-bosons and weak squeezed states
In this paper we consider squares of pseudo-bosonic ladder operators and we use them to produce explicit examples of eigenstates of certain operators satisfying a deformed su(1,1) Lie…
F Bagarello, F. Gargano, L. SalutoOct 13, 2023
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A Geometric Picture of Perturbative QFT
In previous work, a lattice scalar propagator was rigorously defined in d=1 flat space and shown to equal the known Klein-Gordon propagator of QFT. This work generalizes this lattice propagator to…
Rory O'DwyerOct 12, 2023
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On the Quadratic Phase Quaternion Domain Fourier Transform and on the Clifford algebra of R3,1
We study application of the Clifford algebra and the Grassmann algebra to image recognitions in (3+1)D using quaternions. Following S.L.Adler, we construct a quaternion-valued wave function model…
Sadataka FuruiOct 12, 2023
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Exact evaluation and extrapolation of the divergent expansion for the Heisenberg-Euler Lagrangian I: Alternating Case
We applied the method of finite-part integration [Galapon E.A Proc.R.Soc A 473, 20160567(2017)] to evaluate in closed-form the exact one-loop integral representations of the Heisenberg-Euler…
Christian D. Tica, Eric A. GalaponOct 12, 2023
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Tunneling for a semi-classical magnetic Schr\"odinger operator with symmetries
We are interested in decay estimates of the ground state (or the low energy eigenstates), outside the potential wells, for a semi-classical Magnetic Schr\"odinger operator with smooth coefficients…
Michel RouleuxOct 12, 2023
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Polar form of Dirac fields: implementing symmetries via Lie derivative
We consider the Lie derivative along Killing vector fields of the Dirac relativistic spinors: by using the polar decomposition we acquire the mean to study the implementation of symmetries on Dirac…
Luca Fabbri, Stefano Vignolo, Roberto CianciOct 12, 2023
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Multistability for Nematic Liquid Crystals in Cuboids with Degenerate Planar Boundary Conditions
We study nematic configurations within three-dimensional (3D) cuboids, with planar degenerate boundary conditions on the cuboid faces, in the Landau-de Gennes framework. There are two…
Baoming Shi, Yucen Han, Apala Majumdar et al.Oct 12, 2023
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Multidimensional Contours \`a la Fr\"ohlich-Spencer and Boundary Conditions for Quantum Spin Systems
In this thesis, we present results from the investigation of two problems, one related to the phase transition of long-range Ising models and the other one associated with the characterization of…
Lucas AffonsoOct 11, 2023
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A Positive Quasilocal Mass for Causal Variational Principles
A new inequality for a nonlinear surface layer integral is proved for minimizers of causal variational principles. This inequality is applied to obtain a new proof of the positive mass theorem with…
Felix Finster, Niky KamranOct 11, 2023
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Free energy expansions for renormalized systems for colloids
We consider a binary system of small and large spheres of finite size in a continuous medium interacting via a non-negative potential. We work in the canonical ensemble and compute upper and lower…
Tong Xuan Nguyen, Giuseppe Scola, Dimitrios TsagkarogiannisOct 11, 2023
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