Multipartite entanglement dynamics in a cavity
arXiv:1410.3281 · doi:10.1088/0031-8949/90/6/068019
Abstract
We study the dynamics of two kinds of entanglement, and there interplay. On one hand, the intrinsic entanglement within a central system composed by three two level atoms, and measured by multipartite concurrence, on the other, the entanglement between the central system and a cavity, acting as an environment, and measured with purity. Using dipole-dipole and Ising interactions between atoms we propose two Hamiltonians, a homogeneous and a quasi-homogeneous one. We find an upper bound for concurrence as a function of purity, associated to the evolution of the state. A lower bound is also observed for the homogeneous case. In both situations, we show the existence of critical values of the interaction, for which the dynamics of entanglement seem complex.
10 pages, closest to journal version
References in corpus (18)
- Quantum entanglement
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Three qubits can be entangled in two inequivalent ways
- Distributed Entanglement
- The classical-quantum boundary for correlations: discord and related measures
- Measures and dynamics of entangled states
- An observable entanglement measure for unknown mixed quantum states
- A Factorization Law for Entanglement Decay
- Strong monogamy conjecture for multiqubit entanglement: The four-qubit case
- Experimental investigation of the non-Markovian dynamics of classical and quantum correlations
- Nonadditivity of quantum and classical capacities for entanglement breaking multiple-access channels and butterfly network
- Concurrence vs. purity: Influence of local channels on Bell states of two qubits
- Exchange Symmetry and Multipartite Entanglement
- Multipartite Entanglement and Frustration
- Investigating macroscopic quantum superpositions and the quantum-to-classical transition by optical parametric amplification
- Concurrence of quasi pure quantum states
- Evolution of pairwise entanglement in a coupled n-body system
- Two interacting atoms in a cavity: exact solutions, entanglement and decoherence