Geometric Phase of a Transmon in a Dissipative Quantum Circuit

التفاصيل البيبلوغرافية
العنوان: Geometric Phase of a Transmon in a Dissipative Quantum Circuit
المؤلفون: Viotti, Ludmila, Lombardo, Fernando C., Villar, Paula I.
المصدر: Entropy 2024, 26(1), 89
سنة النشر: 2024
المجموعة: Condensed Matter
Quantum Physics
مصطلحات موضوعية: Quantum Physics, Condensed Matter - Superconductivity
الوصف: 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
نوع الوثيقة: Working Paper
DOI: 10.3390/e26010089
URL الوصول: http://arxiv.org/abs/2401.12106
رقم الأكسشن: edsarx.2401.12106
قاعدة البيانات: arXiv