Coherent loop states and angular momentumWe study Bohr-Sommerfeld states in the context of the irreducible representations of SU(2). These states offer a precise bridge between the classical and quantum descriptions of angular momentum. We…Bruce Bartlett, Nzaganya Nzaganya·Jun 29, 2023SaveLearn
Asymptotic series for low-energy excitations of the Fr\"ohlich Polaron at strong couplingWe consider the confined Fr\"ohlich polaron and establish an asymptotic series for the low-energy eigenvalues in negative powers of the coupling constant. The coefficients of the series are derived…Morris Brooks, David Mitrouskas·Jun 28, 2023SaveLearn
Jacobi Beta Ensemble and b-Hurwitz NumbersWe express correlators of the Jacobi β ensemble in terms of (a special case of) b-Hurwitz numbers, a deformation of Hurwitz numbers recently introduced by Chapuy and Dolega. The proof relies…Giulio Ruzza·Jun 28, 2023SaveLearn
The Dissipative Spectral Form Factor for I.I.D. MatricesThe Dissipative Spectral Form Factor (DSFF), recently introduced in [arXiv:2103.05001] for the Ginibre ensemble, is a key tool to study universal properties of dissipative quantum systems. In this…Giorgio Cipolloni, Nicolo Grometto·Jun 28, 2023SaveLearn
Dry Ten Martini Problem in the non-critical caseWe solve the Dry Ten Martini Problem in the non-critical case, i.e., all possible spectral gaps are open for almost Mathieu operators with λ 1.Artur Avila, Jiangong You, Qi Zhou·Jun 28, 2023SaveLearn
Convergence of Dynamics on Inductive Systems of Banach SpacesMany features of physical systems, both qualitative and quantitative, become sharply defined or tractable only in some limiting situation. Examples are phase transitions in the thermodynamic limit,…Lauritz van Luijk, Alexander Stottmeister, Reinhard F. Werner·Jun 28, 2023SaveLearn
Calculus of Variation and Path-Integrals with Non-Linear Generalized FunctionsThe calculus of variation and the construction of path integrals is revisited within the framework of non-linear generalized functions. This allows us to make a rigorous analysis of the variation of…Quentin Ansel·Jun 28, 2023SaveLearn
About elastic coupled anisotropic laminatesThis paper contains a set of theoretical results concerning the coupling tensor B of an anisotropic laminate and of its compliance corresponding B. The theoretical analysis and the mechanical results…Paolo Vannucci·Jun 27, 2023SaveLearn
Complex fluid models of mixed quantum-classical dynamicsSeveral methods in nonadiabatic molecular dynamics are based on Madelung's hydrodynamic description of nuclear motion, while the electronic component is treated as a finite-dimensional quantum…François Gay-Balmaz, Cesare Tronci·Jun 27, 2023SaveLearn
Hybrid Koopman C*-formalism and the hybrid quantum-classical master equationBased on Koopman formalism for classical statistical mechanics, we propose a formalism to define hybrid quantum-classical dynamical systems by defining (outer) automorphisms of the C*-algebra of…C. Bouthelier-Madre, J. Clemente-Gallardo, L. González-Bravo et al.·Jun 27, 2023SaveLearn
Local scattering matrix for a degenerate avoided-crossing in the non-coupled regimeA Landau-Zener type formula for a degenerate avoided-crossing is studied in the non-coupled regime. More precisely, a 2×2 system of first order h-differential operator with…Kenta Higuchi·Jun 27, 2023SaveLearn
On the Wehrl entropy lower bound for a locally compact abelian groupA Wehrl entropy construction is proposed for an arbitrary locally compact abelian group G. It is proved that the Wehrl entropy is not less than a non-negative integer, which is an invariant of the…Evgeny I. Zelenov·Jun 27, 2023SaveLearn
Non-perturbative localization on the strip and Avila's almost reducibility conjectureWe prove non-perturbative Anderson localization and almost localization for a family of quasi-periodic operators on the strip. As an application we establish Avila's almost reducibility conjecture…Rui Han, Wilhelm Schlag·Jun 27, 2023SaveLearn
Scaling symmetries and canonoid transformations in Hamiltonian systemsWe investigate various types of symmetries and their mutual relationships in Hamiltonian systems defined on manifolds with different geometric structures: symplectic, cosymplectic, contact and…R. Azuaje, A. Bravetti·Jun 26, 2023SaveLearn
Geometric flavours of Quantum Field theory on a Cauchy hypersurface. Part I: Gaussian analysis and other Mathematical aspectsIn this series of papers we aim to provide a mathematically comprehensive framework to the Hamiltonian pictures of quantum field theory in curved spacetimes. Our final goal is to study the kinematics…José Luis Alonso, Carlos Bouthelier-Madre, Jesús Clemente-Gallardo et al.·Jun 26, 2023SaveLearn
Asymptotics of the deformed higher order Airy-kernel determinants and applicationsWe study the one-parameter family of Fredholm determinants (I-2Kn,x), ∈R, where Kn,x stands for the integral operator acting on…Jun Xia, Yi-Fan Hao, Shuai-Xia Xu et al.·Jun 26, 2023SaveLearn
The action principle for equilibrium thermodynamicsThe action principle is introduced to describe the thermodynamic processes of the state functions from the initial equilibrium state to the final equilibrium state. To capture the path-independent…Sikarin Yoo-Kong·Jun 26, 2023SaveLearn
Perturbative BF theory in axial, Anosov, gaugeThe twisted Ruelle zeta function of a contact, Anosov vector field is shown to be equal, as a meromorphic function of the complex parameter ∈C and up to a phase, to the partition…Michele Schiavina, Thomas Stucker·Jun 26, 2023SaveLearn
Remarks on discrete Dirac operators and their continuum limitsWe discuss possible definitions of discrete Dirac operators, and discuss their continuum limits. It is well-known in the lattice field theory that the straightforward discretization of the Dirac…Shu Nakamura·Jun 25, 2023SaveLearn
Random normal matrices: eigenvalue correlations near a hard wallWe study pair correlation functions for planar Coulomb systems in the pushed phase, near a ring-shaped impenetrable wall. We assume coupling constant =2 and that the number n of particles…Yacin Ameur, Christophe Charlier, Joakim Cronvall·Jun 25, 2023SaveLearn
A Riemann-Hilbert Approach to Skew-Orthogonal Polynomials of Symplectic TypeWe present a representation of skew-orthogonal polynomials of symplectic type (β=4) in terms of a matrix Riemann-Hilbert problem, for weights of the form e-V(z) where V is a…Alex Little·Jun 25, 2023SaveLearn
Prethermalization and conservation laws in quasi-periodically-driven quantum systemsWe study conservation laws of a general class of quantum many-body systems subjected to an external time dependent quasi-periodic driving. When the frequency of the driving is large enough or the…Matteo Gallone, Beatrice Langella·Jun 24, 2023SaveLearn
The double semion state in infinite volumeWe describe in a simple setting how to extract a unitary braided fusion category from a collection of superselection sectors of a two-dimensional quantum spin system, corresponding to abelian anyons.…Alex Bols, Boris Kjaer, Alvin Moon·Jun 23, 2023SaveLearn
Vorticity and level-set variations of invariant current bound steady-state dissipationA non-vanishing entropy production rate is a hallmark of non-equilibrium stationary states and is therefore at the heart of non-equilibrium thermodynamics. It is a manifestation of a steady…Hao De, Aljaž Godec·Jun 23, 2023SaveLearn
Four Lectures on Euler IntegralsThese lecture notes provide a self-contained introduction to Euler integrals, which are frequently encountered in applications. In particle physics, they arise as Feynman integrals or string…Saiei-Jaeyeong Matsubara-Heo, Sebastian Mizera, Simon Telen·Jun 23, 2023SaveLearn