2011/04/29 by Paula I. Villar, Fernando C. Lombardo · 26 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Composite material #Composite number #Condensed matter physics #Density matrix #Geometric phase #Geometric shape #Geometry #Harmonic oscillator #Materials science #Mathematics #Matrix (chemical analysis) #Matrix product state #Particle (ecology) #Phase (matter) #Physics #Product (mathematics) #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Spin (aerodynamics) #Spins #Thermodynamics #quant-ph
paper · pdf · doi:10.1103/physreva.83.052121
published in Physical Review A 83(5) (American Physical Society) · 10 pages, 12 figures. Version to appear in Phys. Rev. A
arxiv created 2011/04/29 · openalex publication_date 2011/05/24 · arxiv updated 2015/05/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.