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.

15 pages, 13 figures

References in corpus (7)

• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• A class of quantum many-body states that can be efficiently simulated
• Matrix product states represent ground states faithfully
• DMRG and periodic boundary conditions: a quantum information perspective
• Simulating Strongly Correlated Quantum Systems with Tree Tensor Networks
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Cited by in corpus (5)

• Preparing Bethe Ansatz Eigenstates on a Quantum Computer
• 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