Environmentally-induced effects on a bipartite two-level system: geometric phase and entanglement properties

Abstract

We calculate the geometric phase of a bipartite two-level system coupled to an external environment. We analyze the reduced density matrix for an arbitrary initial state of the composite system and compute the correction to the unitary geometric phase through a kinematic approach. In all cases considered, we observe a similar structure as a function of the degree of the entanglement of the initial state. Further, we compute the entanglement entropy and concurrence of the bipartite state and analyze if there is any relation among these quantities and the geometric phase acquired during the nonunitary system's evolution. Finally, we discuss the results obtained.

15 pages, 11 eps figs

References in corpus (14)

• Efficient simulation of one-dimensional quantum many-body systems
• Kinematic approach to the mixed state geometric phase in nonunitary evolution
• Spin-Based Quantum Computers made by Chemistry: Hows and Whys
• Geometric nature of the environment-induced Berry phase and geometric dephasing
• Geometric phases in open systems: an exact model to study how they are corrected by decoherence
• Geometric Phase of a qubit interacting with a squeezed-thermal bath
• Phase Dynamics of Two Entangled Qubits
• A General Setting for Geometric Phase of Mixed States Under an Arbitrary Nonunitary Evolution
• Relation between concurrence and Berry phase of an entangled state of two spin 1/2 particles
• Spin bath interactions effects on the geometric phase
• Berry phase in open quantum systems: a quantum Langevin equation approach
• Noise-induced energy excitation by a general environment
• Geometric Phase in Entangled Bipartite Systems
• Werner states and the two-spinors Heisenberg anti-ferromagnet

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• Multiparameter estimation, lower bound on quantum Fisher information and non-Markovianity witnesses of noisy two-qubit systems
• 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
• Open system geometric phase based on system-reservoir joint state evolution
• Boundary-induced effect encoded in the corrections to the geometric phase acquired by a bipartite two-level system
• Enhancement of quantum correlations and geometric phase for a driven bipartite quantum system in a structured environment
• Polarimetric measurements of single-photon geometric phases