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arXiv:0712.1628 · Physical Review A

Adiabatic quantum transport in a spin chain with a moving potential

Vinitha Balachandran, Jiangbin Gong

Published Jan 4, 2008• 47 citations
arXivHTMLPDF

Abstract

Many schemes to realize quantum state transfer in spin chains are not robust to random fluctuations in the spin-spin coupling strength. In efforts to achieve robust quantum state transfer, an adiabatic quantum population transfer scheme is proposed in this study. The proposed scheme makes use of a slowly moving external parabolic potential and is qualitatively explained in terms of the adiabatic following of a quantum state with a moving separatrix structure in the classical phase space of a pendulum analogy. Detailed aspects of our adiabatic population transfer scheme, including its robustness, is studied computationally. Applications of our adiabatic scheme in quantum information transfer are also discussed, with emphasis placed on the usage of a dual spin chain to encode quantum phases. The results should also be useful for the control of electron tunneling in an array of quantum dots.

DOI
10.1103/physreva.77.012303

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Inspired by the phenomenon that disorder can restrain quantum state transfer in spin chain,we verify the assumption that quantum state can penetrate potential barrier of a certain magnetic density with low probability.Finite square potential well,cosine potential well and parabolic potential well are discussed.Quantum state is restrained at the bottom of the moving potential well.Regarding the spin chain as a damping channel,relations between damping coefficient γ and the strength of magnetic field are studied.Low damping coefficient is obtained under a certain magnetic density.Quantum state is able to transfer a long distance with high fidelity.This scheme is robust in the presence of disorder.
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Based on shortcuts to adiabaticity and quantum Zeno dynamics, we present a protocol to implement quantum state transfer (QST) in a quantum spin-12\frac{1}{2}21​ chain. In the protocol, the complex Hamiltonian of an NNN-site system is simplified, and a simple effective Hamiltonian is present. It is shown that only the control of the coupling strengths between the boundary spins and the bulk spins are required for QST. Numerical simulations demonstrate that the protocol possesses high efficiency and is robust against the decay and the fluctuations of the control fields. The protocol might provide an alternative choice for transferring quantum states via spin chain systems.
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