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Mathematical Physics papers — page 213

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Diffusive Fluctuations in Hard Rods System
We examine the behaviour of density fluctuation in equilibrium under diffusive space-time scaling of a completely integrable dynamics of hard rods with variable length. This is the extended abstract…
Stefano Olla, Pablo FerrariOct 5, 2022
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The eigenvalues and eigenvectors of the 5D discrete Fourier transform number operator revisited
A systematic analytic approach to the evaluation of the eigenvalues and eigenvectors of the 5D discrete number operator is formulated. This approach is essentially based on the use of the…
Natig AtakishiyevOct 5, 2022
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Trace class operators and states in p-adic quantum mechanics
Within the framework of quantum mechanics over a quadratic extension of the non-Archimedean field of p-adic numbers, we provide a definition of a quantum state relying on a general algebraic approach…
Paolo Aniello, Stefano Mancini, Vincenzo ParisiOct 4, 2022
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Uphill in reaction-diffusion multi-species interacting particles systems
We study reaction-diffusion processes with multi-species of particles and hard-core interaction. We add boundary driving to the system by means of external reservoirs which inject and remove…
Francesco Casini, Cristian Giardina, Cecilia VerniaOct 4, 2022
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Partial degeneration of finite gap solutions to the Korteweg-de Vries equation: soliton gas and scattering on elliptic background
We obtain Fredholm type formulas for partial degenerations of Theta functions on (irreducible) nodal curves of arbitrary genus, with emphasis on nodal curves of genus one. An application is the study…
Marco Bertola, Robert Jenkins, Alexander TovbisOct 4, 2022
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Algebraic Quantum Field Theory and Causal Symmetric Spaces
In this article we review our recent work on the causal structure of symmetric spaces and related geometric aspects of Algebraic Quantum Field Theory. Motivated by some general results on modular…
Karl-Hermann Neeb, Gestur OlafssonOct 4, 2022
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Maxwell-Bloch equations without spectral broadening: the long-time asymptotics of an input pulse in a long two-level laser amplifier
We study the problem of propagation of an input electromagnetic pulse through a long two-level laser amplifier under trivial initial conditions. In this paper, we consider an unstable model described…
Volodymyr Kotlyarov, Oleksandr MinakovOct 3, 2022
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An approximate local modular quantum energy inequality in general quantum field theory
For every local quantum field theory on a static, globally hyperbolic spacetime of arbitrary dimension, assuming the Reeh-Schlieder property, local preparability of states, and the existence of an…
Albert Much, Albert Georg Passegger, Rainer VerchOct 3, 2022
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Contact geometric approach to Glauber dynamics near a cusp and its limitation
We study a nonequilibrium mean field Ising model in the low temperature phase regime, where metastable equilibrium states develop a cuspidal (spinodal) singularity. We focus on celebrated Glauber…
Shin-itiro Goto, Shai Lerer, Leonid PolterovichOct 3, 2022
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Multiple Scale Asymptotics of Map Enumeration
We introduce a systematic approach to express generating functions for the enumeration of maps on surfaces of high genus in terms of a single generating function relevant to planar surfaces. Central…
Nicholas Ercolani, Joceline Lega, Brandon TippingsOct 3, 2022
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Some results on the Guest-Hutchinson modes and periodic mechanisms of the Kagome lattice metamaterial
Lattice materials are interesting mechanical metamaterials, and their mechanical properties are often related to the presence of mechanisms. The existence of periodic mechanisms can be indicated by…
Xuenan Li, Robert V. KohnOct 1, 2022
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Polyubles, Poisson homogeneous spaces and multi-flag varieties
A polyuble of a Manin triple can be regarded as the ``n-th power'' of it, which plays an important rule in the study of Poisson geometry, mathematical physics and Lie theory. In this paper, we…
Shaoqiang Deng, Chuangchuang Kang, Shizhuo YuOct 1, 2022
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The Lorentz Process with a Nearly Periodic Distribution of Scatterers
We consider the Lorentz gas in a distribution of scatterers which microscopically converges to a periodic distribution, and prove that the Lorentz gas in the low density limit satisfies a linear…
Bernt WennbergOct 1, 2022
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About integer-valued variants of the theta and 6j symbols
These notes contain essentially a rewriting of several properties of two well-known quantities, the so-called theta symbol (or triangular symbol), which is rational, and the 6j symbol, which is…
Robert CoquereauxSep 30, 2022
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The spectrum of local random Hamiltonians
The spectrum of a local random Hamiltonian can be represented generically by the so-called ε-free convolution of its local terms' probability distributions. We establish an isomorphism…
Benoit Collins, Zhi Yin, Liang Zhao et al.Sep 30, 2022
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Covering models of the asymmetric quantum Rabi model: η-shifted non-commutative harmonic oscillators
The non-commutative harmonic oscillator (NCHO) is a matrix valued differential operator originally introduced as a generalization of the quantum harmonic oscillator having a weaker…
Cid Reyes-Bustos, Masato WakayamaSep 29, 2022
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Steady flows of ideal incompressible fluid
A new important relation between fluid mechanics and differential geometry is established. We study smooth steady solutions to the Euler equations with the additional property: the velocity vector is…
Vladimir Yu. Rovenski, Vladimir A. SharafutdinovSep 29, 2022
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On Bethe eigenvectors and higher transfer matrices for supersymmetric spin chains
We study the glm|n XXX spin chains defined on tensor products of highest glm|n-modules. We show that the on-shell Bethe vectors are eigenvectors of higher transfer…
Kang LuSep 28, 2022
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Quantum Hall Phases of Cold Bose Gases
Cold atomic gases of interacting bosons subject to rapid rotation and confined in anharmonic traps can theoretically exhibit analogues of the fractional quantum Hall effect for electrons in strong…
Nicolas Rougerie, Jakob YngvasonSep 28, 2022
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Dispersion chain of quantum mechanics equations
Based on the dispersion chain of the Vlasov equations, the paper considers the construction of a new chain of equations of quantum mechanics of high kinematical values. The proposed approach can be…
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva et al.Sep 28, 2022
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Solutions and Singularities of the Semigeostrophic Equations via the Geometry of Lagrangian Submanifolds
Using Monge-Amp\`ere geometry, we study the singular structure of a class of nonlinear Monge-Amp\`ere equations in three dimensions, arising in geophysical fluid dynamics. We extend seminal earlier…
Roberto D'Onofrio, Giovanni Ortenzi, Ian Roulstone et al.Sep 27, 2022
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Tangential Tensor Fields on Deformable Surfaces -- How to Derive Consistent L2-Gradient Flows
We consider gradient flows of surface energies which depend on the surface by a parameterization and on a tangential tensor field. The flow allows for dissipation by evolving the parameterization and…
Ingo Nitschke, Souhayl Sadik, Axel VoigtSep 27, 2022
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Spectral mapping theorem of an abstract non-unitary quantum walk
This paper continues the previous work (Quantum Inf. Process (2019)) by two authors of the present paper about a spectral mapping property of chiral symmetric unitary operators. In physics, they…
Keisuke Asahara, Daiju Funakawa, Etsuo Segawa et al.Sep 27, 2022
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On the Su-Schrieffer-Heeger model of electron transport: low-temperature optical conductivity by the Mellin transform
We describe the low-temperature optical conductivity as a function of frequency for a quantum-mechanical system of electrons that hop along a polymer chain. To this end, we invoke the…
Dionisios Margetis, Alexander B. Watson, Mitchell LuskinSep 26, 2022
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Heat flow in a periodically forced, thermostatted chain II
We derive a macroscopic heat equation for the temperature of a pinned harmonic chain subject to a periodic force at its right side and in contact with a heat bath at its left side. The microscopic…
Tomasz Komorowski, Joel L. Lebowitz, Stefano OllaSep 26, 2022
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