Gutzwiller-Jastrow Wavefunctions for the $1/r$ Hubbard Model
D. F. Wang Joseph Henry (Laboratories of Physics, Princeton, University, Princeton, New Jersey) Q. F. Zhong (International School for, Advanced Study Via Beirut 4, 34014 Trieste, Italy) P. Coleman Serin (Physics, Laboratory, Rutgers University, Piscataway, NJ)
TL;DR
This paper investigates Gutzwiller-Jastrow wavefunctions for the 1D $1/r$ Hubbard model at strong coupling, demonstrating their eigenfunction property and exploring excitation spectra and thermodynamics.
Contribution
It introduces Gutzwiller-Jastrow wavefunctions as eigenstates for the 1D $1/r$ Hubbard model and analyzes their spectral and thermodynamic properties.
Findings
Wavefunctions are eigenstates of the Hamiltonian.
Excitation spectrum and thermodynamics are characterized.
Further research needed for finite on-site energy cases.
Abstract
In this work, we study the wavefunctions of the one dimensional Hubbard model in the strong interaction limit . A set of Gutzwiller-Jastorw wavefunctions are shown to be eigen-functions of the Hamiltonian. The entire excitation spectrum and the thermodynamics are also studied in terms of more generalized Jastrow wavefunctions. For the wavefunctions and integrability conditions at finite on-site energy, further investigations are needed.
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Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates · Quantum many-body systems · Strong Light-Matter Interactions