1 citations · 1 across the 3 of their papers we have counts for
6 papers · 1 filter
Unitary -designs without independent Hamiltonian quenches
Pratik Nandy
Unitary -designs provide a resource-efficient framework for emulating Haar randomness up to the -th order. Quench-based protocols have recently been shown to generate such de…
Krylov Complexity Under Hamiltonian Deformations and Toda Flows
Kazutaka Takahashi, Pratik Nandy, Adolfo del Campo
The quantum dynamics of a complex system can be efficiently described in Krylov space, the minimal subspace in which the dynamics unfolds. We apply the Krylov subspace method for H…
Quantum Dynamics in Krylov Space: Methods and Applications
Pratik Nandy, Apollonas S. Matsoukas-Roubeas, Pablo MartÃnez-Azcona +2
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 t…
Krylov space approach to Singular Value Decomposition in non-Hermitian systems
Pratik Nandy, Tanay Pathak, Zhuo-Yu Xian +1
We propose a tridiagonalization approach for non-Hermitian random matrices and Hamiltonians using singular value decomposition (SVD). This technique leverages the real and non-nega…
Probing quantum chaos through singular-value correlations in sparse non-Hermitian SYK model
Pratik Nandy, Tanay Pathak, Masaki Tezuka
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 com…
Krylov fractality and complexity in generic random matrix ensembles
Budhaditya Bhattacharjee, Pratik Nandy
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,…