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

• URL: http://arxiv.org/abs/2605.16559v1
• Date: Fri, 15 May 2026 19:02:06 GMT
• Title: Measurement and Control of the Complex Berry Phase in a Quantum System
• Abstract summary: Berry phase plays an essential role in geometric quantum gates and other phase-based protocols.<n>In non-Hermitian systems, the Berry phase is complex, introducing fundamentally new geometric effects, including state amplification.<n>We report experimental measurement of both the real and imaginary components of a Berry phase in a fully quantum system.
• Score: 1.018305731709575
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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