Work

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

Year: 2020

Type: article

Abstract: This work presents the path-sum formulation of the solution of the quantum equations of motion with time-dependent Hamiltonians. Time-ordered evolution operators are evaluated as continued fractions of finite depth involving progressively simpler quantities. Exact treatments of Bloch-Siegert dynamics and coherent destruction of tunneling are given and the dynamics of a spin excitation on a large molecule under time-dependent driving is studied analytically.

Source: Physical Review Research

DOI: 10.1103/physrevresearch.2.023081

Authors: Pierre-Louis Giscard, Christian Bonhomme

Institutions: Université du littoral côte d'opale, Chimie de la Matière Condensée de Paris

Language: English

Topic: Quantum Mechanics and Applications

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,625

Funders: Royal Commission for the Exhibition of 1851, Agence Nationale de la Recherche