Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Klausen, Frederik Ravn"'
We consider the graphical representations of the Ising model on tree-like graphs. We construct a class of graphs on which the loop $\mathrm{O}(1)$ model and then single random current exhibit a non-unique phase transition with respect to the inverse
Externí odkaz:
http://arxiv.org/abs/2410.22061
Autor:
Klausen, Frederik Ravn
This PhD thesis deals with a number of different problems in mathematical physics with the common thread that they have probabilistic aspects. The problems all stem from mathematical studies of lattice systems in statistical and quantum physics; howe
Externí odkaz:
http://arxiv.org/abs/2312.08980
Autor:
Klausen, Frederik Ravn, Warzel, Simone
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 establish a finite-volume-type criterion for the de
Externí odkaz:
http://arxiv.org/abs/2310.09880
Autor:
Harley, Dylan, Datta, Ishaun, Klausen, Frederik Ravn, Bluhm, Andreas, França, Daniel Stilck, Werner, Albert H., Christandl, Matthias
Publikováno v:
Nat. Commun. 15, 6527 (2024)
Quantum hardware has the potential to efficiently solve computationally difficult problems in physics and chemistry to reap enormous practical rewards. Analogue quantum simulation accomplishes this by using the dynamics of a controlled many-body syst
Externí odkaz:
http://arxiv.org/abs/2306.13739
The uniform even subgraph is intimately related to the Ising model, the random-cluster model, the random current model and the loop $\mathrm{O}$(1) model. In this paper, we first prove that the uniform even subgraph of $\mathbb{Z}^d$ percolates for $
Externí odkaz:
http://arxiv.org/abs/2306.05130
Publikováno v:
Phys. Rev. E 108, 054307 (2023)
We introduce a stochastic cellular automaton as a model for culture and border formation. The model can be conceptualized as a game where the expansion rate of cultures is quantified in terms of their area and perimeter in such a way that approximate
Externí odkaz:
http://arxiv.org/abs/2305.02153
We determine spectra of single-particle translation-invariant Lindblad operators on the infinite line. In the case where the Hamiltonian is given by the discrete Laplacian and the Lindblad operators are rank $r$, finite range and translates of each o
Externí odkaz:
http://arxiv.org/abs/2206.09879
Publikováno v:
Journal of Mathematical Physics, 64(1), 2023
Ising and Potts models can be studied using the Fortuin-Kasteleyn representation through the Edwards-Sokal coupling. This adapts to the setting where the models are exposed to an external field of strength $h>0$. In this representation, which is also
Externí odkaz:
http://arxiv.org/abs/2206.07033
Autor:
Klausen, Frederik Ravn, Raoufi, Aran
Publikováno v:
Journal of Statistical Physics 188.3 (2022): 1-21
We examine the Ising model at its critical temperature with an external magnetic field $h a^{\frac{15}{8}}$ on $a\mathbb{Z}^2$ for $a,h >0$. A new proof of exponential decay of the truncated two-point correlation functions is presented. It is proven
Externí odkaz:
http://arxiv.org/abs/2105.13673
Autor:
Klausen, Frederik Ravn
Publikováno v:
ALEA 19 (2022): 151-161
Using recent couplings we provide counterexamples to monotonicity properties of percolation models related to graphical representations of the Ising model. We further prove a new coupling of the double random current model to the loop-$\mathrm{O}(1)$
Externí odkaz:
http://arxiv.org/abs/2006.15897