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The nested Algebraic Bethe Ansatz for the supersymmetric t-J and Tensor Networks
You Quan Chong, Valentin Murg, Vladimir Korepin +1
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…
Spectral gaps of AKLT Hamiltonians using Tensor Network methods
Artur Garcia-Saez, Valentin Murg, Tzu-Chieh Wei
Using exact diagonalization and tensor network techniques we compute the gap for the AKLT Hamiltonian in 1D and 2D spatial dimensions. Tensor Network methods are used to extract ph…
Numerical Contraction of the Tensor Network generated by the Algebraic Bethe Ansatz
Valentin Murg, Vladimir E. Korepin, Frank Verstraete
The algebraic Bethe Ansatz is a prosperous and well-established method for solving one-dimensional quantum models exactly. The solution of the complex eigenvalue problem is thereby…
Modified spin-wave theory with ordering vector optimization II: Spatially anisotropic triangular lattice and model with Heisenberg interactions
Philipp Hauke, Tommaso Roscilde, Valentin Murg +2
We study the ground state phases of the Heisenberg quantum antiferromagnet on the spatially anisotropic triangular lattice and on the square lattice with up to next-next-ne…
Simulating Strongly Correlated Quantum Systems with Tree Tensor Networks
Valentin Murg, Örs Legeza, Reinhard M. Noack +1
We present a tree-tensor-network-based method to study strongly correlated systems with nonlocal interactions in higher dimensions. Although the momentum-space and quantum-chemistr…
Exploring frustrated spin-systems using Projected Entangled Pair States (PEPS)
V. Murg, F. Verstraete, J. I. Cirac
We study the nature of the ground state of the frustrated J1-J2 model and the J1-J3 model using a variational algorithm based on projected entangled-pair states (PEPS). By investig…