Zobrazeno 1 - 4
of 4
pro vyhledávání: '"Kolupaiev, Oleksii"'
We study the sensitivity of the eigenvectors of random matrices, showing that even small perturbations make the eigenvectors almost orthogonal. More precisely, we consider two deformed Wigner matrices $W+D_1$, $W+D_2$ and show that their bulk eigenve
Externí odkaz:
http://arxiv.org/abs/2410.10718
We consider two Hamiltonians that are close to each other, $H_1 \approx H_2 $, and analyze the time-decay of the corresponding Loschmidt echo $\mathfrak{M}(t) := |\langle \psi_0, \mathrm{e}^{\mathrm{i} t H_2} \mathrm{e}^{-\mathrm{i} t H_1} \psi_0 \ra
Externí odkaz:
http://arxiv.org/abs/2410.08108
Publikováno v:
Forum of Mathematics, Sigma, 11, E74 (2023)
The total energy of an eigenstate in a composite quantum system tends to be distributed equally among its constituents. We identify the quantum fluctuation around this equipartition principle in the simplest disordered quantum system consisting of li
Externí odkaz:
http://arxiv.org/abs/2301.05181
Autor:
Kolupaiev, Oleksii
We consider the solution of the vector Dyson equation $-1/m=z+Sm$ in the case when $S$ has a block staircase structure with $(n-1)$ different critical zero blocks below the strictly positive anti-diagonal and all elements right above the anti-diagona
Externí odkaz:
http://arxiv.org/abs/2108.08684