Bethe Ansatz Solutions for Certain Periodic Quantum Circuits

Abstract

I derived Bethe Ansatz equations for two model Periodic Quantum Circuits: 1) XXZ model; 2) Chiral Hubbard Model. I obtained explicit expressions for the spectra of the strings of any length. These analytic results may be useful for calibration and error mitigations in modern engineered quantum platforms.

arXiv comment44 pages, 6 figures

References in corpus (2)

• An introduction to integrable techniques for one-dimensional quantum systems
• Correlations and commuting transfer matrices in integrable unitary circuits

Cited by in corpus (1)

• Exact Spin Correlators of Integrable Quantum Circuits from Algebraic Geometry