Müller, Markus P. Adlam, Emily Masanes, Lluís Wiebe, Nathan
Published in
Communications in Mathematical Physics

It has previously been suggested that small subsystems of closed quantum systems thermalize under some assumptions; however, this has been rigorously shown so far only for systems with very weak interaction between subsystems. In this work, we give rigorous analytic results on thermalization for translation-invariant quantum lattice systems with fi...

Oh, Sung-Jin Tataru, Daniel
Published in
Communications in Mathematical Physics

This is the third part of a four-paper sequence, which establishes the Threshold Conjecture and the Soliton-Bubbling versus Scattering Dichotomy for the energy critical hyperbolic Yang–Mills equation in the (4 + 1)-dimensional Minkowski space-time. This paper provides basic tools for considering the dynamics of the hyperbolic Yang–Mills equation in...

Angelopoulos, Yannis Aretakis, Stefanos Gajic, Dejan

It is known that sub-extremal black hole backgrounds do not admit a (bijective) non-degenerate scattering theory in the exterior region due to the fact that the redshift effect at the event horizon acts as an unstable blueshift mechanism in the backwards direction. In the extremal case, however, the redshift effect degenerates and hence yields a mu...

Glazman, Alexander Manolescu, Ioan
Published in
Communications in Mathematical Physics

Uniform integer-valued Lipschitz functions on a domain of size N of the triangular lattice are shown to have variations of order \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{...

Chaika, Jon Frączek, Krzysztof Kanigowski, Adam Ulcigrai, Corinna

We consider smooth flows preserving a smooth invariant measure, or, equivalently, locally Hamiltonian flows on compact orientable surfaces and show that, when the genus of the surface is two, almost every such locally Hamiltonian flow with two non degenerate isomorphic saddle has singular spectrum. More in general, singularity of the spectrum holds...

Christandl, M. (Matthias) Leditzky, F. (Felix) Majenz, C. (Christian) Smith, G. (Graeme) Speelman, F. (Florian) Walter, M. (Michael)

Quantum teleportation is one of the fundamental building blocks of quantum Shannon theory. While ordinary teleportation is simple and efficient, port-based teleportation (

Bouchard, Vincent Ciosmak, Paweł Hadasz, Leszek Osuga, Kento Ruba, Blazej Sułkowski, Piotr

We introduce super quantum Airy structures, which provide a supersymmetric generalization of quantum Airy structures. We prove that to a given super quantum Airy structure one can assign a unique set of free energies, which satisfy a supersymmetric generalization of the topological recursion. We reveal and discuss various properties of these supers...

Friedrich, Manuel Stefanelli, Ulisse
Published in
Communications in Mathematical Physics

Suspended graphene samples are observed to be gently rippled rather than being flat. In Friedrich et al. (Z Angew Math Phys 69:70, 2018), we have checked that this nonplanarity can be rigorously described within the classical molecular-mechanical frame of configurational-energy minimization. There, we have identified all ground-state configurations...

Kozlovski, Oleg van Strien, Sebastian

We consider a family of strongly-asymmetric unimodal maps $\{f_t\}_{t\in [0,1]}$ of the form $f_t=t\cdot f$ where $f\colon [0,1]\to [0,1]$ is unimodal, $f(0)=f(1)=0$, $f(c)=1$ is of the form and $$f(x)=\left\{ \begin{array}{ll} 1-K_-|x-c|+o(|x-c|)& \mbox{ for }xc, \end{array}\right. $$ where we assume that $\beta>1$. We show that such a family cont...

Küster, Benjamin Weich, Tobias

Given a closed orientable hyperbolic manifold of dimension $\neq 3$ we prove that the multiplicity of the Pollicott-Ruelle resonance of the geodesic flow on perpendicular one-forms at zero agrees with the first Betti number of the manifold. Additionally, we prove that this equality is stable under small perturbations of the Riemannian metric and si...