Problem
Research questions and friction points this paper is trying to address.
Lee-Yang theorem
fermion models
partition function
phase transitions
Lee-Yang theorem for fermions
🤖 AI Summary
本文通过证明一类广泛的相互作用费米子模型的李-杨零自由定理，解决了这些模型基态能量估计问题，并证明了在非零局部外场下不存在相变。
📝 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.
Innovation
Methods, ideas, or system contributions that make the work stand out.
Lee-Yang theorem
fermions
quantum algorithm
ground-state energy
phase transitions
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