Exactly solvable one-qubit driving fields generated via non-linear equations

2017/08/07 by Marco Enríquez, Marco Enriquez, Enriquez, Marco +2
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Quantum optics and atomic interactions #Spectroscopy and Quantum Chemical Studies #quant-ph

paper · pdf · doi:10.48550/arxiv.1708.02348

openalex publication_date 2017/08/07 · arxiv created 2017/08/08 · arxiv updated 2017/08/09 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

Abstract

Using the Hubbard representation for SU(2) we write the time-evolution operator of a two-level system in the disentangled form. This allows us to map the corresponding dynamical law into a set of non-linear coupled equations. In order to find exact solutions, we use an inverse approach and find families of time-dependent Hamiltonians whose off-diagonal elements are connected with the Ermakov equation. The physical meaning of the so-obtained Hamiltonians is discussed in the context of the nuclear magnetic resonance phenomenon

Related

• Exact dynamics and qubit inversion of non-Hermitian driven two-level systems
• Exact solution for the interaction of two decaying quantized fields
• Structure of propagators for quantum nondemolition systems
• Exact solutions for classical few-body systems from the multichannel quantum inverse problem
• A nonlinear quantum dynamical system of spin 1/2 particles based on the classical Sine-Gordon Equation