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Title: Fermionic mean-field theory as a tool for studying spin Hamiltonians

Journal Article · · Journal of Chemical Physics
DOI: https://doi.org/10.1063/5.0242219 · OSTI ID:2482096
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3];  [2]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [4]; ORCiD logo [5]
  1. Rice University, Houston, TX (United States); Rice University
  2. Dartmouth College, Hanover, NH (United States)
  3. Emory University, Atlanta, GA (United States)
  4. Dartmouth College, Hanover, NH (United States); AWS Center for Quantum Computing, Pasadena, CA (United States)
  5. Rice University, Houston, TX (United States)
+ Show Author Affiliations

The Jordan–Wigner transformation permits one to convert spin 1/2 operators into spinless fermion ones, or vice versa. In some cases, it transforms an interacting spin Hamiltonian into a noninteracting fermionic one, which is exactly solved at the mean-field level. Even when the resulting fermionic Hamiltonian is interacting, its mean-field solution can provide surprisingly accurate energies and correlation functions. Furthermore, Jordan–Wigner is, however, only one possible means of interconverting spin and fermionic degrees of freedom. Here, we apply several such techniques to the XXZ and J1–J2 Heisenberg models, as well as to the pairing or reduced Bardeen–Cooper–Schrieffer Hamiltonian, with the aim of discovering which of these mappings is most useful in applying fermionic mean-field theory to the study of spin Hamiltonians.

Research Organization:
Dartmouth College, Hanover, NH (United States); Emory University, Atlanta, GA (United States); Rice University, Houston, TX (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES); Welch Foundation
Grant/Contract Number:
SC0019374
OSTI ID:
2482096
Journal Information:
Journal of Chemical Physics, Journal Name: Journal of Chemical Physics Journal Issue: 23 Vol. 161; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

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