The nested Algebraic Bethe Ansatz for the supersymmetric t-J and Tensor Networks

Abstract

We consider a model of strongly correlated electrons in 1D called the t-J model, which was solved by graded algebraic Bethe ansatz. We use it to design graded tensor networks which can be contracted approximately to obtain a Matrix Product State. As a proof of principle, we calculate observables of ground states and excited states of finite lattices up to $18$ lattice sites.

arXiv comment15 pages, 13 figures

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Cited by in corpus (6)

• Preparing Bethe Ansatz Eigenstates on a Quantum Computer
• Surface energy of the one-dimensional supersymmetric $t-J$ model with unparallel boundary fields
• Matrix product operator representations for the local conserved quantities of the Heisenberg chain
• Entanglement at the interplay between single- and many-bodyness
• Surface energy of the one-dimensional supersymmetric $t-J$ model with general integrable boundary terms in the antiferromagnetic sector
• Integrability and scattering of the boson field theory on a lattice