Induced Entanglement Enhanced by Quantum Criticality

Abstract

Two qubit entanglement can be induced by a quantum data bus interacting with them. In this paper, with the quantum spin chain in the transverse field as an illustration of quantum data bus, we show that such induced entanglement can be enhanced by the quantum phase transition (QPT) of the quantum data bus. We consider two external spins simultaneously coupled to a transverse field Ising chain. By adiabatically eliminating the degrees of the chain, the effective coupling between these two spins are obtained. The matrix elements of the effective Hamiltonian are expressed in terms of dynamical structure factor (DSF) of the chain. The DSF is the Fourier transformation of the Green function of Ising chain and can be calculated numerically by a method introduced in [O. Derzhko, T. Krokhmalskii, Phys. Rev. B \textbf{56}, 11659 (1997)]. Since all characteristics of QPT are embodied in the DSF, the dynamical evolution of the two external spins displays singularity in the vicinity of the critical point.

6 pages, 5 figures

References in corpus (15)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• The density-matrix renormalization group
• Scaling of Entanglement close to a Quantum Phase Transitions
• Entanglement in a simple quantum phase transition
• Real time evolution using the density matrix renormalization group
• Continuous Quantum Phase Transitions
• Decay of Loschmidt Echo Enhanced by Quantum Criticality
• Mixed-state fidelity and quantum criticality at finite temperature
• Quantum entanglement and Bell inequalities in Heisenberg spin chains
• Thermal and ground-state entanglement in Heisenberg XX qubit rings
• Disentanglement in a quantum critical environment
• Disentanglement of two qubits coupled to an XY spin chain: Role of quantum phase transition
• Excitation and Entanglement Transfer Versus Spectral Gap
• Entanglement induced in spin-1/2 particles by a spin chain near its critical points
• Quantum dynamics of an Ising spin-chain in a random transverse field

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