Quantum Transition Rates in Arbitrary Physical Processes

TL;DR

This paper presents a new framework for calculating quantum transition rates that apply to both closed and open quantum systems, incorporating quantum speed limits and control methods like counterdiabatic driving.

Contribution

It introduces a general method for computing time-dependent quantum transition rates applicable to open systems and includes quantum speed limits and control strategies.

Findings

QTRs expressed via flux-flux correlators

Quantum speed limits derived for QTRs

Control of QTRs through counterdiabatic driving

Abstract

We introduce a framework for computing time-dependent quantum transition rates (QTRs) that describe the pace of evolution of a quantum state from a given subspace to a target subspace. QTRs are expressed in terms of flux-flux correlators and are shown to obey two complementary quantum speed limits. Our framework readily accommodates the generalization of Hamiltonian dynamics to arbitrary open quantum evolution, including quantum measurements. We illustrate how QTRs can be controlled by counterdiabatic driving.