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Fractional revivals of quantum state in tight-binding chain

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arxiv quant-ph/0603033 v2 pith:2TXPZJDV submitted 2006-03-04 quant-ph

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keywords quantumstatechainfractionalsystemtight-bindingtimeanalysis
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We investigate the time evolution of Gaussian wave packet (GWP) in the tight-binding chain with uniform nearest neighbor (NN) hopping integral. Analytical analysis and numerical simulations show that the fractional revival of the quantum state occurs in such system, i.e., at appropriate time, a GWP can evolve into many copies of the initial state at different positions. The application of this quantum phenomenon to the scheme of quantum information transfer in solid-state system is discussed.

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  1. Optimising Perfect Quantum State Transfer for Timing Insensitivity

    quant-ph 2025-07 conditional novelty 8.0 of 10

    A family of spin chains (T-Rex) achieves asymptotically optimal trade-offs between transfer time and arrival-width sensitivity, replacing the tight sin^{2(N-1)} arrival peaks with sin^6 or sin^8 profiles.

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