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The Bethe ansatz for a new integrable open quantum system

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arxiv 2207.14193 v1 pith:5RFB3TKY submitted 2022-07-28 cond-mat.stat-mech hep-thmath-phmath.MPnlin.SI

The Bethe ansatz for a new integrable open quantum system

classification cond-mat.stat-mech hep-thmath-phmath.MPnlin.SI
keywords betheintegrablesystemansatzcomputespinalgebraicapply
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper we apply the nested algebraic Bethe ansatz to compute the eigenvalues and the Bethe equations of the transfer matrix of the new integrable Lindbladian found in [1]. We show that it can be written as an integrable spin chain consisting of two interacting XXZ spin chains. We numerically compute the Liouville gap and its dependence on the parameters in the system such as scaling with the system length and interaction strength.

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  1. Kardar-Parisi-Zhang dynamics in an open integrable system: beyond the spontaneous-symmetry-breaking ansatz

    quant-ph 2026-07 unverdicted novelty 6.0

    In the B3 model, KPZ dynamics emerge when the asymmetric XXZ spin chain structure dominates over inter-chain interactions captured by the SSB ansatz.