Integrable Deformations of the XXZ Spin Chain

Abstract

We consider integrable deformations of the XXZ spin chain for periodic and open boundary conditions. In particular, we classify all long-range deformations and study their impact on the spectrum. As compared to the XXX case, we have the z-spin at our disposal, which induces two additional deformations: the short-range magnetic twist and a new long-range momentum-dependent twist.

24 pages, v2: minor changes

References in corpus (11)

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Cited by in corpus (18)

• Lectures on Yangian Symmetry
• $T\bar{T}$ deformations and integrable spin chains
• Current operators in integrable spin chains: lessons from long range deformations
• $T\bar{T}$-deformation and long range spin chains
• Classifying nearest-neighbour interactions and deformations of AdS
• Classifying integrable spin-1/2 chains with nearest neighbour interactions
• Fixing the Quantum Three-Point Function
• Anisotropic Landau-Lifshitz sigma models from q-deformed AdS_5 x S^5 superstrings
• R-matrix-valued Lax pairs and long-range spin chains
• Maximally Supersymmetric RG Flows in 4D and Integrability
• Irrelevant Deformations with Boundaries and Defects
• Integrability is generic in homogeneous U(1)-invariant nearest-neighbor qubit circuits
• Lifting integrable models and long-range interactions
• Integrability and charge transport in asymmetric quantum-circuit geometries
• Onsager's regression hypothesis adjusted to quantum systems
• Allosteric impurity effects in long spin chains
• Scattering matrix for current-current deformations of the (2,2s+1) RSOS models
• Absence of thermalization after a local quench and strong violation of the eigenstate thermalization hypothesis