Geometric phases under the presence of a composite environment

Abstract

We compute the geometric phase for a spin-1/2 particle under the presence of a composite environment, composed of an external bath (modeled by an infinite set of harmonic oscillators) and another spin-1/2 particle. We consider both cases: an initial entanglement between the spin-1/2 particles and an initial product state in order to see if the initial entanglement has an enhancement effect on the geometric phase of one of the spins. We follow the nonunitary evolution of the reduced density matrix and evaluate the geometric phase for a single two-level system. We also show that the initial entanglement enhances the sturdiness of the geometric phase under the presence of an external composite environment.

10 pages, 12 figures. Version to appear in Phys. Rev. A

References in corpus (6)

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• Geometric phase with nonunitary evolution in presence of a quantum critical bath
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• Geometric phase of two-level atoms and thermal nature of de Sitter spacetime
• Correction to the geometric phase by structured environments: the onset of non-Markovian effects
• Geometry of quantum evolution in a nonequilibrium environment
• Geometric phase in a dissipative Jaynes-Cummings model: theoretical explanation for resonance robustness
• Two-qudit topological phase evolution under dephasing
• Geometric phase accumulated in a driven quantum system coupled to an structured environment
• Geometric phase corrected by initial system-environment correlations
• Boundary-induced effect encoded in the corrections to the geometric phase acquired by a bipartite two-level system
• Open system geometric phase based on system-reservoir joint state evolution
• Enhancement of quantum correlations and geometric phase for a driven bipartite quantum system in a structured environment