[HTML][HTML] Complexity of quantum-mechanical evolutions from probability amplitudes

C Cafaro, L Rossetti, PM Alsing - Nuclear Physics B, 2025 - Elsevier
We study the complexity of both time-optimal and time sub-optimal quantum Hamiltonian
evolutions connecting arbitrary source and a target states on the Bloch sphere equipped …

Analytically solvable Hamiltonian in invariant subspaces

ASM de Castro, R Grimaudo, D Valenti… - The European Physical …, 2023 - Springer
We study a generic time-dependent Jaynes–Cummings model, discovering universal
features of its time evolution on a dynamical time scale which is here defined as an integral …

[HTML][HTML] Controlling the charge-transfer dynamics of two-level systems around avoided crossings

A Migliore, A Messina - The Journal of Chemical Physics, 2024 - pubs.aip.org
Two-level quantum systems are fundamental physical models that continue to attract
growing interest due to their crucial role as a building block of quantum technologies. The …

Variationally scheduled quantum simulation

S Matsuura, S Buck, V Senicourt, A Zaribafiyan - Physical Review A, 2021 - APS
Eigenstate preparation is ubiquitous in quantum computing, and a standard approach for
generating the lowest-energy states of a given system is by employing adiabatic state …

From the classical Frenet-Serret apparatus to the curvature and torsion of quantum-mechanical evolutions. Part I. Stationary Hamiltonians

PM Alsing, C Cafaro - arxiv preprint arxiv:2311.18458, 2023 - arxiv.org
It is known that the Frenet-Serret apparatus of a space curve in three-dimensional Euclidean
space determines the local geometry of curves. In particular, the Frenet-Serret apparatus …

Exactly solvable time-dependent models of two interacting two-level systems

R Grimaudo, A Messina, H Nakazato - Physical Review A, 2016 - APS
Two coupled two-level systems placed under external time-dependent magnetic fields are
modeled by a general Hamiltonian endowed with a symmetry that enables us to reduce the …

Greenberger‐Horne‐Zeilinger‐state Generation in Qubit‐Chains via a Single Landau‐Majorana‐Stückelberg‐Zener π/2‐pulse

R Grimaudo, NV Vitanov… - Fortschritte der …, 2022 - Wiley Online Library
A protocol for generating Greenberger‐Horne‐Zeilinger states in a system of NN coupled
qubits is proposed. The Hamiltonian model assumes NN‐wise interactions between the NN …

Classes of Exactly Solvable Generalized Semi‐Classical Rabi Systems

R Grimaudo, AS Magalhães de Castro… - Annalen der …, 2018 - Wiley Online Library
The exact quantum dynamics of a single spin‐1/2 in a generic time‐dependent classical
magnetic field are investigated and compared with the quantum motion of a spin‐1/2 studied …

Curvature of quantum evolutions for qubits in time-dependent magnetic fields

C Cafaro, L Rossetti, PM Alsing - arxiv preprint arxiv:2408.14233, 2024 - arxiv.org
In the geometry of quantum-mechanical processes, the time-varying curvature coefficient of
a quantum evolution is specified by the magnitude squared of the covariant derivative of the …

Dzyaloshinskii-Moriya and dipole-dipole interactions affect coupling-based Landau-Majorana-Stückelberg-Zener transitions

R Grimaudo, H Nakazato, A Messina, NV Vitanov - Physical Review Research, 2020 - APS
It has been theoretically demonstrated that two spins (qubits or qutrits), coupled by
exchange interaction only, undergo a coupling-based joint Landau-Majorana-Stückelberg …