12 citations · 25 across the 5 of their papers we have counts for
5 papers
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…
Dynamical quantum phase transition, metastable state, and dimensionality reduction: Krylov analysis of fully connected spin models
Kazutaka Takahashi
We study quenched dynamics of fully-connected spin models. The system is prepared in a ground state of the initial Hamiltonian and the Hamiltonian is suddenly changed to a differen…
Krylov Subspace Methods for Quantum Dynamics with Time-Dependent Generators
Kazutaka Takahashi, Adolfo del Campo
Krylov subspace methods in quantum dynamics identify the minimal subspace in which a process unfolds. To date, their use is restricted to time evolutions governed by time-independe…
Adiabatic theorem for classical stochastic processes
Kazutaka Takahashi
We apply adiabatic theorems developed for quantum mechanics to stochastic annealing processes described by the classical master equation with a time-dependent generator. When the i…
Thouless energy in QCD and effects of diffusion modes on level correlations of Dirac operator
K. Takahashi, S. Iida
The correlations of the QCD Dirac eigenvalues are studied with use of an extended chiral random matrix model. The inclusion of spatial dependence which the original model lacks ena…