Entanglement versus energy in the entanglement transfer problem

Abstract

We study the relation between energy and entanglement in an entanglement transfer problem. We first analyze the general setup of two entangled qubits (a and b) exchanging this entanglement with two other independent qubits (A and B). Qubit a (b) interacts with qubit A (B) via a spin exchange-like unitary evolution. A physical realization of this scenario could be the problem of two-level atoms transferring entanglement to resonant cavities via independent Jaynes-Cummings interactions. We study the dynamics of entanglement and energy for the second pair of qubits (tracing out the originally entangled ones) and show that these quantities are closely related. For example, the allowed quantum states occupy a restricted area in a phase diagram entanglement vs. energy. Moreover the curve which bounds this area is exactly the one followed if both interactions are equal and the entire four qubit system is isolated. We also consider the case when the target pair of qubits is subjected to losses and can spontaneously decay.

11 pages, 6 figs. v2: references added, text and figures improved

References in corpus (21)

• A computable measure of entanglement
• Finite-Time Disentanglement via Spontaneous Emission
• Sudden Death of Entanglement of Two Jaynes-Cummings Atoms
• Maximal entanglement versus entropy for mixed quantum states
• The entanglement cost under operations preserving the positivity of partial transpose
• Maximally entangled mixed states of two qubits
• Multipartite entanglement in spin chains
• Maximally entangled mixed states in two qubits
• Quantum entanglement and Bell inequalities in Heisenberg spin chains
• Magnetic Susceptibility as a Macrosopic Entaglement Witness
• Entanglement Witnesses in Spin Models
• Crucial Role of Quantum Entanglement in Bulk Properties of Solids
• Energy as an Entanglement Witness for Quantum Many-Body Systems
• Entanglement transfer from continuous variables to qubits
• Dynamical entanglement-transfer for quantum information networks
• Noise-induced finite-time disentanglement in two-atomic system
• Thermal entanglement properties of small spin clusters
• Concurrence vs. purity: Influence of local channels on Bell states of two qubits
• Energy and multipartite entanglement in multidimensional and frustrated spin models
• Enhanced dynamical entanglement transfer with multiple qubits
• Thermal entanglement in the nanotubular system Na_2V_3O_7

Cited by in corpus (13)

• Sudden Death of Entanglement
• Entanglement invariant for the double Jaynes-Cummings model
• Entanglement evolution of two remote and non-identical Jaynes-Cummings atoms
• Dynamics of Entanglement Transfer Through Multipartite Dissipative Systems
• Vortex entanglement in Bose-Einstein condensates coupled to Laguerre-Gauss beams
• Energy dependence of the entanglement entropy of composite boson (quasiboson) systems
• Understanding entanglement sudden death through multipartite entanglement and quantum correlations
• Spin Squeezing, Negative Correlations, and Concurrence in the Quantum Kicked Top Model
• Passing quantum correlations to qubits using any two-mode state
• Entanglement dynamics of two-qubit system in different types of noisy channels
• Geometry in the entanglement dynamics of the double Jaynes-Cummings model
• Residual entanglement and sudden death: A direct connection
• Geometrically induced singular behavior of entanglement