PreprintCC BY 4.0arXiv
Lee-Yang theorem for fermions
Abstract
Lee-Yang theorems are a powerful tool for studying many-body systems, with applications ranging from analyzing phase transitions to proving the efficiency of certain classical and quantum algorithms. In this work, we prove a Lee-Yang zero-freeness theorem for the partition function of a broad class of interacting fermion models, implying the existence of a provably efficient quantum algorithm for estimating their ground-state energies. This class includes several well-known models such as the attractive Hubbard model, repulsive Hubbard model on bipartite graphs, and the interacting Hofstadter model. Our results also rigorously establish the nonexistence of phase transitions in these models in the presence of a nonzero local external field.
Related
- Relative entropy in quantum field theory: the case of squeezed fermions
- Static spherically symmetric electroweak models with fermions and gravity
- An entropy-level method for quantitative time-asymptotic in the Fokker-Planck model for fermions -- appearance of non saturation
- Area laws for free fermions in ergodic field: spectral criteria and localisation-based methods
- An Exact QFT/Lattice Map for Fermions
BibTeX
@misc{rayudu2026leeyang,
title = {{Lee-Yang theorem for fermions}},
author = {Chaithanya Rayudu and Takahiro Misawa and Andrew Zhao and Jun Takahashi},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.23942},
eprint = {2609.23942},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.23942},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Lee-Yang theorem for fermions
AU - Chaithanya Rayudu
AU - Takahiro Misawa
AU - Andrew Zhao
AU - Jun Takahashi
PY - 2026
DA - 2026/09/20
PB - arXiv
DO - 10.48550/arxiv.2609.23942
UR - https://arxiv.org/abs/2609.23942
AB - Lee-Yang theorems are a powerful tool for studying many-body systems, with applications ranging from analyzing phase transitions to proving the efficiency of certain classical and quantum algorithms. In this work, we prove a Lee-Yang zero-freeness theorem for the partition function of a broad class of interacting fermion models, implying the existence of a provably efficient quantum algorithm for estimating their ground-state energies. This class includes several well-known models such as the attractive Hubbard model, repulsive Hubbard model on bipartite graphs, and the interacting Hofstadter model. Our results also rigorously establish the nonexistence of phase transitions in these models in the presence of a nonzero local external field.
ER -