Floquet theory in magnetic resonance: Formalism and applications

KL Ivanov, KR Mote, M Ernst, A Equbal… - Progress in Nuclear …, 2021 - Elsevier
Floquet theory is an elegant mathematical formalism originally developed to solve time-
dependent differential equations. Besides other fields, it has found applications in optical …

On the Floquet–Magnus expansion: Applications in solid-state nuclear magnetic resonance and physics

ES Mananga, T Charpentier - Physics Reports, 2016 - Elsevier
Theoretical approaches are useful and powerful tools for more accurate and efficient spin
dynamics simulation to understand experiments and devising new RF pulse sequence in …

Suppression of Pulsed Dynamic Nuclear Polarization by Many-Body Spin Dynamics

K Sasaki, E Abe - Physical Review Letters, 2024 - APS
We study a mechanism by which nuclear hyperpolarization due to the polarization transfer
from a microwave-pulse-controlled electron spin is suppressed. From analytical and …

Dynamics of quantum systems driven by time-varying Hamiltonians: Solution for the Bloch-Siegert Hamiltonian and applications to NMR

PL Giscard, C Bonhomme - Physical Review Research, 2020 - APS
Comprehending the dynamical behavior of quantum systems driven by time-varying
Hamiltonians is particularly difficult. Systems with as little as two energy levels are not yet …

[HTML][HTML] A continuous approach to Floquet theory for pulse-sequence optimization in solid-state NMR

M Chávez, M Ernst - The Journal of Chemical Physics, 2022 - pubs.aip.org
We present a framework that uses a continuous frequency space to describe and design
solid-state nuclear magnetic resonance (NMR) experiments. The approach is similar to the …

Simple and General Unitarity Conserving Numerical Real-Time Propagators of the Time-Dependent Schrödinger Equation Based on Magnus Expansion

TM Ture, SJ Jang - The Journal of Physical Chemistry A, 2024 - ACS Publications
Magnus expansion (ME) provides a general way to expand the real-time propagator of a
time-dependent Hamiltonian within the exponential such that the unitarity is satisfied at any …

On the exactness of time-propagators for periodically driven systems based on Fer expansion

S Ganguly, R Ramachandran - Molecular Physics, 2023 - Taylor & Francis
In this report, an alternate approach to time-evolution in quantum mechanics is discussed
using Fer expansion. Specifically, the operational aspects and exactness of the time …

Computing optimal assignments in linear time for approximate graph matching

NM Kriege, PL Giscard, F Bause… - 2019 IEEE International …, 2019 - ieeexplore.ieee.org
Finding an optimal assignment between two sets of objects is a fundamental problem arising
in many applications, including the matching of'bag-of-words' representations in natural …

Floquet-engineered pair and single-particle filters in the Fermi-Hubbard model

F Hübner, C Dauer, S Eggert, C Kollath, A Sheikhan - Physical Review A, 2022 - APS
We investigate the Fermi-Hubbard model with a Floquet-driven impurity in the form of a local
time-oscillating potential. For strong attractive interactions a stable formation of pairs is …

On the Fer expansion: Applications in solid-state nuclear magnetic resonance and physics

ES Mananga - Physics Reports, 2016 - Elsevier
Theoretical approaches are useful and powerful tools for more accurate and efficient spin
dynamics simulation to understand experiments and devising new RF pulse sequence in …