Analytic next-to-nearest neighbour XX models with perfect state transfer and fractional revival

Abstract

Certain non-uniformly coupled spin chains can exhibit perfect transfer of quantum states from end to end. Motivated by recent experimental implementations, we extend the simplest such chain to next-to-nearest neighbour (NNN) couplings. It is shown analytically that perfect state transfer can be maintained under the extension and that end-to-end entanglement generation (fractional revival) can occur.

12 pages

References in corpus (8)

• Mirror Inversion of Quantum States in Linear Registers
• Coherent Quantum Transport in Photonic Lattices
• Experimental Perfect Quantum State Transfer
• Perfect State Transfer: Beyond Nearest-Neighbor Couplings
• Perfect state transfer in networks of arbitrary topology and coupling configuration
• Perfect wave-packet splitting and reconstruction in a one-dimensional lattice
• Fractional revivals of quantum state in tight-binding chain
• A novel analytic spin chain model with fractional revival

Cited by in corpus (21)

• Perfect quantum state transfer on diamond fractal graphs
• A graph with fractional revival
• Spectra of Perfect State Transfer Hamiltonians on Fractal-Like Graphs
• Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results
• Transport in deformed centrosymmetric networks
• Fermionic quantum carpets: From canals and ridges to solitonlike structures
• Ergotopy transport in a one dimensional spin chain
• Non-classical light state transfer in $su(2)$ resonator networks
• Single- to many-body crossover of a quantum carpet
• Perfect State Transfer on Weighted Graphs of the Johnson Scheme
• Perfect State Transfer in a Spin Chain without Mirror Symmetry
• State Transfer in Latent-Symmetric Networks
• Fast and efficient long-distance quantum state transfer in long-range spin-$\frac{1}{2}$ models
• Approximate quantum fractional revival in paths and cycles
• Quantum Fractional Revival on Graphs
• Perfect Wave Transfer in Continuous Quantum Systems
• Analytic "Newton's cradles" with perfect transfer and fractional revival
• Fractional Revival and Association Schemes
• Memory effects in repeated uses of quantum channels
• Quantum carpets from Gaussian sum theory
• Exact solution of a family of staggered Heisenberg chains with conclusive pretty good quantum state transfer