Bethe ansatz solution of the open XX spin chain with non-diagonal boundary terms

Published 16 November 2001 • Published under licence by IOP Publishing Ltd
, , Citation Rafael I Nepomechie 2001 J. Phys. A: Math. Gen. 34 9993 DOI 10.1088/0305-4470/34/47/306

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1 Physics Department, PO Box 248046, University of Miami, Coral Gables, FL 33124, USA

Dates

  1. Received 14 August 2001
  2. Published

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0305-4470/34/47/9993

Abstract

We consider the integrable open XX quantum spin chain with non-diagonal boundary terms. We derive an exact inversion identity, by which we obtain the eigenvalues of the transfer matrix and the Bethe ansatz equations. For generic values of the boundary parameters, the Bethe ansatz solution is formulated in terms of the Jacobian elliptic functions.

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