Dissipative failure of adiabatic quantum transport as a dynamical phase transition

TL;DR

This paper presents a new perspective on why adiabatic quantum transport fails, framing it as a dynamical phase transition influenced by dephasing, with implications for quantum technology reliability.

Contribution

It introduces a novel dynamical phase transition framework to understand adiabatic transport failure, supported by a toy model analysis.

Findings

Dephasing biases quantum transport trajectories.

Failure of adiabatic transport can be viewed as a dynamical phase transition.

Toy model demonstrates the transition mechanism.

Abstract

Entanglement is the central resource in adiabatic quantum transport. Dephasing affects the availability of that resource by biasing trajectories, driving transitions between success and failure. This depletion of entanglement is important for the practical implementation of quantum technologies. We present a new perspective on the failure of adiabatic computation by understanding the failure of adiabatic transport as a dynamical phase transition. These ideas are demonstrated in a toy model of adiabatic quantum transport in a two spin system.