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quant-ph2026
Lee-Yang theorem for fermions
Chaithanya Rayudu, Takahiro Misawa, Andrew Zhao +1
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…
quant-ph2026
Modular-Annihilator Parent Hamiltonians for Purified Gibbs States: Spectral Design and Controlled Approximation
Changhao Yi, Jun Takahashi, Cunlu Zhou
Purified Gibbs states provide a bridge between finite-temperature physics, dissipative dynamics, and ground-state methods. In this work, we study the exact finite sum-of-squares (S…
quant-ph2026
Spectral gap of Lee-Yang Hamiltonians
Chaithanya Rayudu, Jun Takahashi
The Lee-Yang theorem and its quantum extensions state that, for a broad class of Hamiltonians on any graph, the partition function's zeros in the complex magnetic field plane lie o…