12 citations · 25 across the 5 of their papers we have counts for
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quant-ph2025
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…
quant-ph2025★ 3 cited
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…
quant-ph2024★ 12 cited
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…