Geometric Phase of a Transmon in a Dissipative Quantum Circuit

• URL: http://arxiv.org/abs/2401.12106v1
• Date: Mon, 22 Jan 2024 16:41:00 GMT
• Title: Geometric Phase of a Transmon in a Dissipative Quantum Circuit
• Authors: Ludmila Viotti, Fernando C. Lombardo, and Paula I. Villar
• Abstract summary: We study the geometric phases acquired by a paradigmatic setup: a transmon coupled to a superconductor resonating cavity. 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.
• Score: 44.99833362998488
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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