Landau-Zener tunneling for dephasing Lindblad evolutions

TL;DR

This paper extends the Landau-Zener tunneling formula to open quantum systems with dephasing, providing a geometric derivation for two-level systems coupled to a memoryless bath.

Contribution

It introduces a geometric approach to derive the Landau-Zener tunneling formula for dephasing open quantum systems, a novel extension of the classic theory.

Findings

Derived an analog of the Landau-Zener formula for dephasing systems

Provided a geometric interpretation of spectral subspaces as adiabatic invariants

Applicable to two-level systems coupled to a memoryless bath

Abstract

We derive an analog of the Landau-Zener adiabatic tunneling formula for an open, two-level system coupled to a memoryless, dephasing bath. The derivation rests on a geometric view of the spectral subspaces as adiabatic invariants.