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Crosscap states in the XXX spin-1/2 spin chain

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arxiv 2207.12354 v1 pith:ZRMSX7EP submitted 2022-07-25 hep-th cond-mat.stat-mechmath-phmath.MP

classification hep-thcond-mat.stat-mechmath-phmath.MP
keywords statesspincrosscapbetheintegrablealgebraicansatzboundary
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We consider integrable boundary states in the XXX spin-1/2 spin chain. We begin by briefly reviewing the algebraic Bethe Ansatz as well as integrable boundary states in spin chains. Then a recently discovered class of integrable states known as crosscap states is described and expanded. In these states each spin is entangled with its antipodal spin. We present a novel proof of the integrability of both a crosscap state that is known in the literature and one that has not previously been studied. We then use the machinery of the algebraic Bethe Ansatz to derive the overlaps between the crosscap states and off-shell Bethe states.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 2 citations worldwide. Full citation record

  1. Quench dynamics of entanglement from crosscap states

    cond-mat.stat-mech 2024-12 conditional novelty 7.0 of 10

    Quenches from antipodally entangled crosscap states yield a delayed linear decrease and revivals of entanglement in integrable systems, while chaotic systems show constant entropy and a vanishing mutual information.

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