Showing papers by "Rafael I. Nepomechie published in 2021"
TL;DR: In this paper, the authors formulate and solve a new integrable XXZ-like open spin chain with an even number of sites that depends on a continuous parameter, which they interpret as the rapidity of the boundary.
Abstract: We express $$ {D}_2^{(2)} $$
transfer matrices as products of $$ {A}_1^{(1)} $$
transfer matrices, for both closed and open spin chains. We use these relations, which we call factorization identities, to solve the models by algebraic Bethe ansatz. We also formulate and solve a new integrable XXZ-like open spin chain with an even number of sites that depends on a continuous parameter, which we interpret as the rapidity of the boundary.
12 citations
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TL;DR: In this article, a probabilistic algorithm for computing the Bethe state of the open spin-1/2 XXZ spin chain with diagonal boundary magnetic fields is proposed. But the algorithm requires a large number of down spins.
Abstract: The open spin-1/2 XXZ spin chain with diagonal boundary magnetic fields is the paradigmatic example of a quantum integrable model with open boundary conditions. We formulate a quantum algorithm for preparing Bethe states of this model, corresponding to real solutions of the Bethe equations. The algorithm is probabilistic, with a success probability that decreases with the number of down spins. For a Bethe state of $L$ spins with $M$ down spins, which contains a total of $\binom{L}{M}\, 2^{M}\, M!$ terms, the algorithm requires $L+M^2+2M$ qubits.
8 citations
TL;DR: In this article, the feasibility of studying the anisotropic Heisenberg quantum spin chain with the variational Quantum Eigensolver (VQE) algorithm was investigated.
Abstract: We consider the feasibility of studying the anisotropic Heisenberg quantum spin chain with the Variational Quantum Eigensolver (VQE) algorithm, by treating Bethe states as variational states, and Bethe roots as variational parameters For short chains, we construct exact one-magnon trial states that are functions of the variational parameter, and implement the VQE calculations in Qiskit However, exact multi-magnon trial states appear to be out out of reach
4 citations
TL;DR: In this article, the effect of boundary inhomogeneity in the transfer matrix of an integrable open quantum spin chain was investigated, and it was shown that the boundary has a profound effect on the Bethe ansatz solution.
Abstract: We investigate the effect of introducing a boundary inhomogeneity in the transfer matrix of an integrable open quantum spin chain. We find that it is possible to construct a local Hamiltonian, and to have quantum group symmetry. The boundary inhomogeneity has a profound effect on the Bethe ansatz solution.
2 citations
TL;DR: In this article, the effect of boundary inhomogeneity in the transfer matrix of an integrable open quantum spin chain was investigated, and it was shown that the boundary has a profound effect on the Bethe ansatz solution.
Abstract: We investigate the effect of introducing a boundary inhomogeneity in the transfer matrix of an integrable open quantum spin chain. We find that it is possible to construct a local Hamiltonian, and to have quantum group symmetry. The boundary inhomogeneity has a profound effect on the Bethe ansatz solution.
2 citations
TL;DR: A Passion for Theoretical Physics, a special issue collection of articles published in J. Phys. A in memory of Peter G. O. Freund, was published in this paper.
Abstract: This is a preface to A Passion for Theoretical Physics, a special issue collection of articles published in J. Phys. A in memory of Peter G. O. Freund.