A challenge - and opportunity - is offered to the Hubbard Model community of solutions extant for the strong coupling region. A rigorous and quantitatively demanding test - a Computer Lab - is presented based on certain exact results for the strong coupling limit derived in a companion paper. The test offers rich insights into the essential physics of the model, specifically the quasiparticle energy and width of the spectral weight function in the lower Hubbard band. The width of the spectral weight function, related to electron scattering, is large and has a strong momentum dependence, even for infinite coupling. The test is applied to mean field solutions as well as some one dimensional results. In each case, substantial problems are exposed. The method is also used to determine a "best" (i.e. moment preserving) solution, subject to only one assumption of a single dominant peak for the lower Hubbard band spectral weight function.
Quantum Utility in Simulating the Real-time Dynamics of the Fermi-Hubbard Model using Superconducting Quantum Computers
University of Kansas(堪萨斯大学);C. N. Yang Institute for Theoretical Physics, Stony Brook University(石溪大学杨振宁理论物理研究所);IBM Quantum, IBM Thomas J. Watson Research Center(IBM量子,IBM托马斯·J·沃森研究中心);Brookhaven National Laboratory(布鲁克海文国家实验室)
Unraveling correlated material properties with noisy quantum computers: Natural orbitalized variational quantum eigensolving of extended impurity models within a slave-boson approach
Preparing the Gutzwiller wave function for attractive SU(3) fermions on a quantum computer
RIKEN Center for Computational Science (R-CCS)(理化学研究所计算科学中心);RIKEN Center for Quantum Computing (RQC)(理化学研究所量子计算中心);RIKEN Center for Emergent Matter Science (CEMS)(理化学研究所新兴物质科学中心);RIKEN Pioneering Research Institute (PRI)(理化学研究所先驱研究院)
Spin modulations in the Rashba-Hubbard chain -- a tensor network study
Institute of Physics, Slovak Academy of Sciences(斯洛伐克科学院物理研究所);National Yang Ming Chiao Tung University(国立阳明交通大学);National Center for Theoretical Sciences(国家理论科学中心);Center for Theoretical and Computational Physics, National Yang Ming Chiao Tung University(国立阳明交通大学理论与计算物理中心);Department of Physics and Center for Quantum Frontiers of Research and Technology (QFort), National Cheng Kung University(国立成功大学物理系暨量子前沿研究与技术中心(QFort))