Rabi Oscillations in Systems with Small Anharmonicity

TL;DR

This paper investigates how pulse shaping can optimize Rabi oscillations in three-level quantum systems with small anharmonicity, aiming to minimize unwanted transitions to higher energy states.

Contribution

It introduces methods for optimizing pulse shapes to reduce transition probabilities in three-level systems during Rabi oscillations.

Findings

Optimized pulse shapes decrease transition probability to the third state.

Pulse shaping significantly improves control fidelity in small anharmonic systems.

The study provides practical guidelines for quantum control in multi-level systems.

Abstract

When a two-level quantum system is irradiated with a microwave signal, in resonance with the energy difference between the levels, it starts Rabi oscillation between those states. If there are other states close, in energy, to the first two, the Rabi signal will also induce transition to those. Here, we study the probability of transition to the third state, in a three-level system, while a Rabi oscillation between the first two states is performed. We investigate the effect of pulse shaping on the probability and suggest methods for optimizing pulse shapes to reduce transition probability.