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] Dynamics of quantum discord of two coupled spin-1/2's subjected to time-dependent magnetic fields

R Grimaudo, A Isar, T Mihaescu, I Ghiu, A Messina - Results in physics, 2019 - Elsevier
We describe the dynamics of quantum discord of two interacting spin-1/2's subjected to
controllable time-dependent magnetic fields. The exact time evolution of discord is given for …

[HTML][HTML] A new method for researching differential equations

HL Zhu - Partial Differential Equations in Applied Mathematics, 2025 - Elsevier
Using the ZA method proposed for the first time in this paper, it is theoretically possible to
obtain general or analytical solutions for an infinite number of ordinary and partial differential …

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 …

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 …

Quantum correlation dynamics in controlled two-coupled-qubit systems

I Ghiu, R Grimaudo, T Mihaescu, A Isar, A Messina - Entropy, 2020 - mdpi.com
We study and compare the time evolutions of concurrence and quantum discord in a driven
system of two interacting qubits prepared in a generic Werner state. The corresponding …

Dynamics of a harmonic oscillator coupled with a Glauber amplifier

R Grimaudo, VI Man'Ko, MA Man'Ko… - Physica Scripta, 2019 - iopscience.iop.org
A system of a quantum harmonic oscillator bi-linearly coupled with a Glauber amplifier is
analysed considering a time-dependent Hamiltonian model. The Hilbert space of this system …

Invariant-Parameterized Exact Evolution Operator for SU(2) Systems with Time-Dependent Hamiltonian

H Nakazato, A Sergi, A Migliore, A Messina - Entropy, 2023 - mdpi.com
We report the step-by-step construction of the exact, closed and explicit expression for the
evolution operator U (t) of a localized and isolated qubit in an arbitrary time-dependent field …

Exactly solvable time-dependent pseudo-Hermitian su (1, 1) Hamiltonian models

R Grimaudo, A De Castro, M Kuś, A Messina - Physical Review A, 2018 - APS
An exact analytical treatment of the dynamical problem for time-dependent 2× 2 pseudo-
Hermitian su (1, 1) Hamiltonians is reported. A class of exactly solvable and physically …

Coupling-assisted Landau-Majorana-Stückelberg-Zener transition in a system of two interacting spin qubits

R Grimaudo, NV Vitanov, A Messina - Physical Review B, 2019 - APS
We analyze a system of two interacting spin-qubits subjected to a Landau-Majorana-
Stückelberg-Zener (LMSZ) ramp. We prove that LMSZ transitions of the two spin qubits are …