Geometric Phase of a Transmon in a Dissipative Quantum Circuit

Autor: Viotti, Ludmila, Lombardo, Fernando C., Villar, Paula I.
Rok vydání: 2024
Předmět:
Zdroj: Entropy 2024, 26(1), 89
Druh dokumentu: Working Paper
DOI: 10.3390/e26010089
Popis: Superconducting circuits reveal themselves as promising physical devices with multiple uses. Within those uses, the fundamental concept of the geometric phase accumulated by the state of a system shows up recurrently, as, for example, in the construction of geometric gates. Given this framework, we study the geometric phases acquired by a paradigmatic setup: a transmon coupled to a superconductor resonating cavity. We do so both for the case in which the evolution is unitary and when it is subjected to dissipative effects. These models offer a comprehensive quantum description of an anharmonic system interacting with a single mode of the electromagnetic field within a perfect or dissipative cavity, respectively. In the dissipative model, the non-unitary effects arise from dephasing, relaxation, and decay of the transmon coupled to its environment. Our approach enables a comparison of the geometric phases obtained in these models, leading to a thorough understanding of the corrections introduced by the presence of the environment.
Comment: 12 pages, 11 figures
Databáze: arXiv
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