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Particle-Time Duality in the Kicked Ising Chain I: The Dual Operator

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arxiv 1602.07130 v1 pith:HPCJGQMQ submitted 2016-02-23 nlin.CD quant-ph

M. Akila , D. Waltner , B. Gutkin , T. Guhr This is my paper · ORCID
classification nlin.CDquant-ph
keywords operatordualitychaindualevolutionkickedspinspins
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abstract

We demonstrate that the dynamics of kicked spin chains possess a remarkable duality property. The trace of the unitary evolution operator for $N$ spins at time $T$ is related to one of a non-unitary evolution operator for $T$ spins at time $N$. We investigate the spectrum of this dual operator with a focus on the different parameter regimes (chaotic, regular) of the spin chain. We present applications of this duality relation to spectral statistics in an accompanying paper.

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Cited by 1 Pith paper

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  1. Extreme value statistics and eigenstate thermalization in kicked quantum chaotic spin-$1/2$ chains

    quant-ph 2025-05 conditional novelty 6.0 of 10

    The largest entanglement eigenvalue of a quantum chaotic kicked Ising chain follows a Weibull-type extreme value distribution rather than the random-matrix Tracy-Widom law, even as ETH is satisfied.

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