Analytic results on long distance entanglement mediated by gapped spin chains

Abstract

We give an analytical description of long distance entanglement (LDE) mediated by one-dimensional quantum spin chains recently found in numerical studies. We develop a formalism that allows the computation of LDE for weakly interacting probes with gapped many-body systems. At zero temperature, a DC response function determines the ability of the physical system to generate genuine quantum correlations between the probes. We show that the biquadratic Heisenberg spin-1 chain is able to produce LDE in the thermodynamical limit and that the finite antiferromagnetic Heisenberg chain maximally entangles two spin-1/2 probes very far apart. These results support the current perspective of using quantum spin chains as entanglers or quantum channels in quantum information devices.

4 pages, 2 figures, submitted for publication

References in corpus (12)

• A computable measure of entanglement
• Distributed Entanglement
• Scaling of Entanglement close to a Quantum Phase Transitions
• Entanglement in a simple quantum phase transition
• Diverging Entanglement Length in Gapped Quantum Spin Systems
• Long-distance entanglement in spin systems
• High efficiency transfer of quantum information and multi-particle entanglement generation in translation invariant quantum chains
• Quantum state transmission via a spin ladder as a robust data bus
• High Temperature Macroscopic Entanglement
• Qubit Teleportation and Transfer across Antiferromagnetic Spin Chains
• Excitation and Entanglement Transfer Versus Spectral Gap
• A scheme for entanglement extraction from a solid

Cited by in corpus (12)

• Entanglement Resonance in Driven Spin Chains
• Effect of Randomness on Quantum Data Buses of Heisenberg Spin Chains
• Quantum information processing in a spin-bus system of coupled chains
• General conditions for the generation of long-distance entanglement
• Demonstration of long-range correlations via susceptibility measurements in a one-dimensional superconducting Josephson spin chain
• Electron-mediated entanglement of two distant macroscopic ferromagnets within a nonequilibrium spintronic device
• Entanglement Creation and Storage in Two Qubits Coupling to an Anisotropic Heisenberg Spin Chain
• Long distance entanglement in one-dimensional quantum systems under sinusoidal deformation
• Emergence of robust gaps in 2D antiferromagnets via additional spin-1/2 probes
• Role of external fields in enhancing long-distance entanglement at finite temperatures
• Thermal decoherence of long-distance entanglement in spin-1 chains
• Creating two-qudit maximally entangled quantum link through bulk