Resonant excitation amidst dephasing: An exact analytic solution

TL;DR

This paper provides an exact analytic solution for the behavior of a two-state quantum system under resonant excitation with a hyperbolic-secant pulse, accounting for dephasing effects, and derives explicit formulas for Rabi oscillations.

Contribution

It introduces a novel exact analytic solution for resonant excitation in the presence of dephasing, extending understanding of quantum dynamics under realistic conditions.

Findings

Derived explicit formulas for amplitude and phase shift of damped Rabi oscillations.

Provided a comprehensive analytic framework for systems with dephasing during pulsed excitation.

Enhanced the theoretical understanding of quantum control in noisy environments.

Abstract

An exact analytic solution is presented for coherent resonant excitation of a two-state quantum system driven by a time-dependent pulsed external field with a hyperbolic-secant shape in the presence of dephasing. Analytic results are derived for the amplitude and the phase shift of the damped Rabi oscillations.