Zobrazeno 1 - 10
of 66
pro vyhledávání: '"Nandy, Pratik"'
Autor:
Nandy, Pratik
By analyzing the global density of states (DOS) in the Double-Scaled Sachdev-Ye-Kitaev (DSSYK) model, we construct a finite-dimensional Hamiltonian that replicates this DOS. We then tridiagonalize the Hamiltonian to determine the mean Lanczos coeffic
Externí odkaz:
http://arxiv.org/abs/2410.07847
Krylov space methods provide an efficient framework for analyzing the dynamical aspects of quantum systems, with tridiagonal matrices playing a key role. Despite their importance, the behavior of such matrices from chaotic to integrable states, trans
Externí odkaz:
http://arxiv.org/abs/2407.07399
Utilizing singular value decomposition, our investigation focuses on the spectrum of the singular values within a sparse non-Hermitian Sachdev-Ye-Kitaev (SYK) model. Unlike the complex eigenvalues typical of non-Hermitian systems, singular values are
Externí odkaz:
http://arxiv.org/abs/2406.11969
Autor:
Nandy, Pratik, Matsoukas-Roubeas, Apollonas S., Martínez-Azcona, Pablo, Dymarsky, Anatoly, del Campo, Adolfo
The dynamics of quantum systems unfolds within a subspace of the state space or operator space, known as the Krylov space. This review presents the use of Krylov subspace methods to provide a compact and computationally efficient description of quant
Externí odkaz:
http://arxiv.org/abs/2405.09628
Publikováno v:
JHEP 01 (2024) 094
We use Krylov complexity to study operator growth in the $q$-body dissipative SYK model, where the dissipation is modeled by linear and random $p$-body Lindblad operators. In the large $q$ limit, we analytically establish the linear growth of two set
Externí odkaz:
http://arxiv.org/abs/2311.00753
Publikováno v:
JHEP 12 (2023) 066
Continuing the previous initiatives arXiv: 2207.05347 and arXiv: 2212.06180, we pursue the exploration of operator growth and Krylov complexity in dissipative open quantum systems. In this paper, we resort to the bi-Lanczos algorithm generating two b
Externí odkaz:
http://arxiv.org/abs/2303.04175
Publikováno v:
JHEP 03 (2023) 054
We study the operator growth in open quantum systems with dephasing dissipation terms, extending the Krylov complexity formalism of Phys. Rev. X 9, 041017. Our results are based on the study of the dissipative $q$-body Sachdev-Ye-Kitaev (SYK$_q$) mod
Externí odkaz:
http://arxiv.org/abs/2212.06180
Publikováno v:
JHEP 08 (2023) 099
Considering the large-$q$ expansion of the Sachdev-Ye-Kitaev (SYK) model in the two-stage limit, we compute the Lanczos coefficients, Krylov complexity, and the higher Krylov cumulants in subleading order, along with the $t/q$ effects. The Krylov com
Externí odkaz:
http://arxiv.org/abs/2210.02474
Publikováno v:
Phys. Rev. B 106, 205150 (2022)
Scar states are special many-body eigenstates that weakly violate the eigenstate thermalization hypothesis (ETH). Using the explicit formalism of the Lanczos algorithm, usually known as the forward scattering approximation in this context, we compute
Externí odkaz:
http://arxiv.org/abs/2208.05503
Publikováno v:
JHEP 12 (2022) 081
Inspired by the universal operator growth hypothesis, we extend the formalism of Krylov construction in dissipative open quantum systems connected to a Markovian bath. Our construction is based upon the modification of the Liouvillian superoperator b
Externí odkaz:
http://arxiv.org/abs/2207.05347