Spin-1/2 XYZ model revisit: general solutions via off-diagonal Bethe ansatz

Abstract

The spin-1/2 XYZ model with both periodic and anti-periodic boundary conditions is studied via the off-diagonal Bethe ansatz method. The exact spectra of the Hamiltonians and the Bethe ansatz equations are derived by constructing the inhomogeneous T-Q relations, which allow us to treat both the even N (the number of lattice sites) and odd N cases simultaneously in an unified approach.

20 pages, 3 tables, published version, numerical check is added

References in corpus (5)

• Off-diagonal Bethe ansatz and exact solution of a topological spin ring
• Off-diagonal Bethe ansatz solutions of the anisotropic spin-1/2 chains with arbitrary boundary fields
• Off-diagonal Bethe ansatz solution of the XXX spin-chain with arbitrary boundary conditions
• Thermodynamic limit and surface energy of the XXZ spin chain with arbitrary boundary fields
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Cited by in corpus (37)

• Off-diagonal Bethe ansatz solutions of the anisotropic spin-1/2 chains with arbitrary boundary fields
• Lectures on the Bethe Ansatz
• Thermodynamic limit and surface energy of the XXZ spin chain with arbitrary boundary fields
• Inhomogeneous T-Q equation for the open XXX chain with general boundary terms: completeness and arbitrary spin
• Local measures of dynamical quantum phase transitions
• Bethe states of the XXZ spin-1/2 chain with arbitrary boundary fields
• Antiperiodic dynamical 6-vertex model by separation of variables II: Functional equations and form factors
• Exact solution of the Izergin-Korepin model with general non-diagonal boundary terms
• The 8-vertex model with quasi-periodic boundary conditions
• Thermodynamic limit and boundary energy of the SU(3) spin chain with non-diagonal boundary fields
• Exact solution of the spin-s Heisenberg chain with generic non-diagonal boundaries
• Exact solution of the XXX Gaudin model with the generic open boundaries
• Scale-invariant freezing of entanglement
• Exact dimer phase with anisotropic interaction for one dimensional magnets
• Exact solution of an su(n) spin torus
• Thermodynamics of a spin-1/2 XYZ Heisenberg chain with a Dzyaloshinskii-Moriya interaction
• Current mean values in the XYZ model
• Surface energy and elementary excitations of the XXZ spin chain with arbitrary boundary fields
• Invariant subspaces and explicit Bethe vectors in the integrable open spin $1/2$ $\XYZ$ chain
• Antiperiodic XXZ chains with arbitrary spins: Complete eigenstate construction by functional equations in separation of variables
• Beyond Fermi's golden rule with the statistical Jacobi approximation
• A Pedestrian's Way to Baxter's Bethe Ansatz for the Periodic XYZ Chain
• On the complete-spectrum characterization of quantum integrable spin chains via the inhomogeneous T-Q relation
• A representation basis for the quantum integrable spin chain associated with the su(3) algebra
• Thermodynamic limit of the spin-$\frac{1}{2}$ XYZ spin chain with the antiperiodic boundary condition
• Bethe states of the trigonometric SU(3) spin chain with generic open boundaries
• Bethe ansatz solution of the ${\tau }_2$-model with arbitrary boundary fields
• Exact solution of the trigonometric SU(3) spin chain with generic off-diagonal boundary reflections
• Off-diagonal approach to the exact solution of quantum integrable systems
• Surface energy and elementary excitations of the XYZ spin chain with integrable open boundary fields
• Bethe States of the integrable spin-s chain with generic open boundaries
• Bethe/Gauge Correspondence for $A_N$ Spin Chains with Integrable Boundaries
• On the Bethe states of the one-dimensional supersymmetric t-J model with generic open boundaries
• Small polaron with generic open boundary conditions revisit: exact solution via the off-diagonal Bethe ansatz
• Quantum simulation of spin-1/2 XYZ model using solid-state spin centers
• Exact physical quantities of the XYZ spin chain in the thermodynamic limit
• On the solutions of the $Z_n$-Belavin model with arbitrary number of sites