Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Toniolo, Daniele"'
Autor:
Toniolo, Daniele, Bose, Sougato
In the context of the Many-Body-Localization phenomenology we consider arbitrarily large one-dimensional spin systems. The XXZ model with disorder is a prototypical example. Without assuming the existence of exponentially localized integrals of motio
Externí odkaz:
http://arxiv.org/abs/2408.02016
Autor:
Toniolo, Daniele, Bose, Sougato
We consider a generic one dimensional spin system of length $ L $, arbitrarily large, with strictly local interactions, for example nearest neighbor, and prove that the dynamical $ \alpha $-R\'enyi entropies, $ 0 < \alpha < 1 $, of an initial product
Externí odkaz:
http://arxiv.org/abs/2408.00743
Autor:
Toniolo, Daniele, Bose, Sougato
We rigorously show that a local spin system giving rise to a slow Hamiltonian dynamics is stable against generic, even time-dependent, local perturbations. The sum of these perturbations can cover a significant amount of the system's size. The stabil
Externí odkaz:
http://arxiv.org/abs/2405.05958
Publikováno v:
PRX Quantum 4, 030302 (2023)
We analyze a Floquet circuit with random Clifford gates in one and two spatial dimensions. By using random graphs and methods from percolation theory, we prove in the two dimensional setting that some local operators grow at ballistic rate, which imp
Externí odkaz:
http://arxiv.org/abs/2210.10129
Autor:
Toniolo, Daniele
The Bott index of two unitary operators on an infinite dimensional Hilbert space is defined. homotopic invariance with respect to multiplicative unitary perturbations of the type identity plus trace class and the "logarithmic" law for the index are p
Externí odkaz:
http://arxiv.org/abs/2112.01339
Autor:
Farshi, Tom, Toniolo, Daniele, González-Guillén, Carlos E., Alhambra, Álvaro M., Masanes, Lluis
Publikováno v:
J. Math. Phys. 63, 032201 (2022)
How much does local and time-periodic dynamics resemble a random unitary? In the present work we address this question by using the Clifford formalism from quantum computation. We analyse a Floquet model with disorder, characterised by a family of lo
Externí odkaz:
http://arxiv.org/abs/2007.03339
Publikováno v:
Commun. Math. Phys. (2020)
Strong invariants of even-dimensional topological insulators of independent Fermions are expressed in terms of an invertible operator on the Hilbert space over the boundary. It is given by the Cayley transform of the boundary restriction of the half-
Externí odkaz:
http://arxiv.org/abs/1811.11781
Autor:
Toniolo, Daniele
Publikováno v:
Lett Math Phys 112, 126 (2022)
This article reviews the foundations of the theory of the Bott index of a pair of unitary matrices in the context of condensed matter theory, as developed by Hastings and Loring in J. Math. Phys. (51), 015214, (2010) and Annals of Physics 326 (2011)
Externí odkaz:
http://arxiv.org/abs/1708.05912
Autor:
Toniolo, Daniele
Publikováno v:
Phys. Rev. B 98, 235425 (2018)
The Bott index is an index that discerns among pairs of unitary matrices that can or cannot be approximated by a pair of commuting unitary matrices. It has been successfully employed to describe the approximate integer quantization of the transverse
Externí odkaz:
http://arxiv.org/abs/1708.05916
Autor:
Toniolo, Daniele, Linder, Jacob
Publikováno v:
Phys. Rev. A 89, 061605(R) (2014)
We investigate the superfluid phases of a Rashba spin-orbit coupled Bose-Einstein condensate residing on a two dimensional square optical lattice in the presence of an effective Zeeman field $\Omega$. At a critical value $\Omega=\Omega_c$, the single
Externí odkaz:
http://arxiv.org/abs/1403.1267