Zobrazeno 1 - 10
of 592
pro vyhledávání: '"81Q35"'
Autor:
Lemm, Marius, Wessel, Tom
Recent works have revealed the intricate effect of long-range interactions on information transport in quantum many-body systems: In $D$ spatial dimensions, interactions decaying as a power-law $r^{-\alpha}$ with $\alpha > 2D+1$ exhibit a Lieb-Robins
Externí odkaz:
http://arxiv.org/abs/2411.19241
This paper is devoted to the investigation of the spectral theory and dynamical properties of periodic graphs which are not locally finite but carry non-negative, symmetric and summable edge weights. These graphs are shown to exhibit rather intriguin
Externí odkaz:
http://arxiv.org/abs/2411.14965
Autor:
Kameoka, Kentaro, Nakamura, Shu
We consider complex resonances for discrete and continuous Schr\"odinger operators, and we show that the resonances of discrete models converge to resonances of continuous models in the continuum limit. The potential is supposed to be a sum of an ext
Externí odkaz:
http://arxiv.org/abs/2410.18480
We construct families of graphs from linear groups $\mathrm{SL}(2,q)$, $\mathrm{GL}(2,q)$ and $\mathrm{GU}(2,q^2)$, where $q$ is an odd prime power, with the property that the continuous-time quantum walks on the associated networks of qubits admit p
Externí odkaz:
http://arxiv.org/abs/2408.14807
Autor:
Bifulco, Patrizio, Kerner, Joachim
We study Schr\"odinger operators on compact finite metric graphs subject to $\delta'$-coupling conditions. Based on a novel modified local Weyl law, we derive an explicit expression for the limiting mean eigenvalue distance of two different self-adjo
Externí odkaz:
http://arxiv.org/abs/2407.21719
Autor:
Jarvis, P D, Rudolph, G
We study the ring of invariant functions over the $N$-fold Cartesian product of copies of the compact Lie group $G=SU(2)$, modulo the action of conjugation by the diagonal subgroup, generalizing the group character ring. For $N=1$, an orthonormal bas
Externí odkaz:
http://arxiv.org/abs/2407.01066
Autor:
Akduman, Setenay, Kuchment, Peter
Quantum graphs have become in this century a favorite playground for mathematicians, mathematical physicists, and chemists, due to their manifold applications as models of thin structures, as well as presenting sometimes simpler playground for hard h
Externí odkaz:
http://arxiv.org/abs/2406.16190
Autor:
Matwiejew, Edric, Wang, Jingbo B.
We present a theoretical framework for the analysis of amplitude transfer in Quantum Variational Algorithms (QVAs) for combinatorial optimisation with mixing unitaries defined by vertex-transitive graphs, based on their continuous-time quantum walk (
Externí odkaz:
http://arxiv.org/abs/2406.11620
Autor:
Kalita, Akash, Bhattacharjya, Bikash
The \textit{transition matrix} of a graph $\Gamma$ with adjacency matrix $A$ is defined by $H(\tau ) := \exp(-\mathbf{i}\tau A)$, where $\tau \in \mathbb{R}$ and $\mathbf{i} = \sqrt{-1}$. The graph $\Gamma$ exhibits \textit{perfect state transfer} (P
Externí odkaz:
http://arxiv.org/abs/2405.02122
Autor:
Raszeja, T., Barata, J. C. A.
We extended the notion of Newton-Wigner localization, already constructed in the bi-dimensional de Sitter space, to the tri-dimensional case for both principal and complementary series. We identify the one-particle subspace, generated by the positive
Externí odkaz:
http://arxiv.org/abs/2404.18026