2015/03/24 by Fernando C. Lombardo, Paula I. Villar · 29 citations
Medicine · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Computer science #Medicine #Orthodontics #Phase (matter) #Physics #Quantum Mechanics and Applications #Quantum mechanics #Statistical Mechanics and Entropy #Statistical physics #cond-mat.other #quant-ph
paper · pdf · doi:10.1103/physreva.91.042111
published in Physical Review A 91(4) (American Physical Society) · 7 figures. Accepted for publication in Phys. Rev. A. arXiv admin note: text overlap with arXiv:1303.4937
arxiv created 2015/03/24 · openalex publication_date 2015/04/10 · arxiv updated 2015/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the geometric phase of a two-level system under the presence of a structured environment, particularly analyzing its correction with the ohmicity parameter s and the onset of non-Markovianity. We first examine the system coupled to a set of harmonic oscillators and study the decoherence factor as function of the environment's ohmicity parameter. Second, we propose the two-level system coupled to a nonequilibrium environment, and show that these environments display non-Markovian effects for all values of the ohmicity parameter. The geometric phase of the two-level system is therefore computed under the presence of both types of environment. The correction to the unitary geometric phase is analyzed in both the Markovian and non-Markovian regimes. Under Markovian environments, the correction induced on the system's phase is mainly ruled by the coupling constant between the system and the environment, while in the non-Markovian regime, memory effects seem to trigger a significant correction to the unitary geometric phase. The result is significant to the quantum information processing based on the geometric phase in quantum open systems.