Superballistic Diffusion of Entanglement in Disordered Spin Chains

Abstract

We study the dynamics of a single excitation in an infinite XXZ spin chain, which is launched from the origin. We study the time evolution of the spread of entanglement in the spin chain and obtain an expression for the second order spatial moment of concurrence, about the origin, for both ordered and disordered chains. In this way, we show that a finite central disordered region can lead to sustained superballistic growth in the second order spatial moment of entanglement within the chain.

5 pages, 1 figure

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Cited by in corpus (17)

• Quantum Communication through Spin Chain Dynamics: an Introductory Overview
• Quantum state transfer and time-dependent disorder in Quantum Chains
• Universal destabilization and slowing of spin transfer functions by a bath of spins
• Entanglement localization by a single defect in a spin chain
• The Elephant Quantum Walk
• Disorder-assisted distribution of entanglement in $XY$ spin chains
• High-fidelity state transfer through long-range correlated disordered quantum channels
• Variance squeezing and entanglement of the XX central spin model
• Dynamical self-stabilization of the Mott insulator: Time evolution of the density and entanglement entropy of out-of-equilibrium cold fermion gases
• Almost perfect transport of an entangled two-qubit state through a spin chain
• Disorder-safe entanglement transfer through ladder qubit chains
• Almost perfect transmission of multipartite entanglement through disordered and noisy spin chains
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• Rapid and robust spin state amplification
• Quantum superballistic diffusion in presence of white noise
• Noise, delocalization, and quantum diffusion in one-dimensional tight-binding models
• Flat-band quantum communication induced by disorder