Quantum control of dissipation for the example of the spin-boson model

TL;DR

This paper demonstrates how quantum interference can be used to control dissipation in the spin-boson model, enabling trapping and state transfer in strongly coupled quantum systems through nonlinear optimal control techniques.

Contribution

It introduces a novel control method for dissipation in the spin-boson model using quantum interference and nonlinear optimization, achieving high-fidelity state manipulation.

Findings

Quantum interference enables control of dissipation.

Spin system can be trapped in unstable states.

High-fidelity state transfer is achievable.

Abstract

The interaction of a quantum system with a bath, usually referred to as dissipation, can be controlled if one can establish quantum interference between the system--bath interaction and a coupling of the system to an external control field. This is demonstrated for the example of the spin-boson model in the strong coupling limit for the system--bath interaction. It is shown that driving and trapping of the spin system leads to an optimum control problem which is nonlinear in the external control field. Using an indirect optimization strategy introducing a Lagrange-type adjoint state, we show that the spin system can be trapped in otherwise unstable quantum states and that it can be driven from a given initial state to a specified target state with high fidelity.