Measurement and Control of the Complex Berry Phase in a Quantum System

TL;DR

This paper experimentally measures both real and imaginary parts of the Berry phase in a superconducting quantum system, revealing new geometric effects and enabling non-unitary quantum control.

Contribution

It provides the first experimental observation of complex Berry phases in a fully quantum system, highlighting their geometric significance and control applications.

Findings

Measured both real and imaginary components of Berry phase.

Demonstrated path-dependent effects of the imaginary Berry phase.

Confirmed the unique adiabatic behavior of non-Hermitian quantum systems.

Abstract

The Berry phase is a geometric phase acquired during adiabatic evolution over a closed loop in parameter space. It plays an essential role in geometric quantum gates and other phase-based protocols. In non-Hermitian systems, the Berry phase is complex, introducing fundamentally new geometric effects, including state amplification. In this work, we report experimental measurement of both the real and imaginary components of a Berry phase in a fully quantum system using a superconducting transmon circuit with engineered dissipation. We also demonstrate the path-dependent effects of the imaginary part on the dissipation and its utility in the implementation of non-unitary quantum control. These findings establish a clear geometric distinction between the real and imaginary components of the Berry phase and experimentally confirm the unique adiabatic behavior of non-Hermitian quantum systems.