Ergotropy from Geometric Phases in a Dephasing Qubit
- URL: http://arxiv.org/abs/2603.01129v1
- Date: Sun, 01 Mar 2026 14:22:37 GMT
- Title: Ergotropy from Geometric Phases in a Dephasing Qubit
- Authors: Fernando C. Lombardo, Paula I. Villar,
- Abstract summary: We analyze the geometric phase and dynamic phase acquired by a qubit coupled to an environment through pure dephasing.<n>We show that the dynamic phase depends solely on the incoherent ergotropy, reflecting its purely energetic origin.<n>The geometric phase exhibits a nontrivial dependence on both the coherent and incoherent contributions to the total ergotropy.
- Score: 45.88028371034407
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We analyze the geometric phase and dynamic phase acquired by a qubit coupled to an environment through pure dephasing, establishing a direct connection between phase accumulation and ergotropy. We show that the dynamic phase depends solely on the incoherent ergotropy, reflecting its purely energetic origin. In contrast, the geometric phase exhibits a nontrivial dependence on both the coherent and incoherent contributions to the total ergotropy, encoding the interplay between coherence, dissipation, and energy extraction. By performing a perturbative expansion in the qubit-environment coupling strength, we demonstrate that, in the weak-coupling and long-time regime, the geometric phase becomes determined exclusively by the incoherent ergotropy, which coincides with the asymptotic value of the total ergotropy reached under decoherence. These results provide a clear physical distinction between dynamic and geometric phases in open quantum systems and establish geometric phases as sensitive probes of energetic resources. Furthermore,~in superconducting circuit implementations, our findings suggest that the ergotropy of a two-level system could be inferred indirectly from geometric-phase measurements using standard techniques such as quantum state tomography.
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