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quant-ph2023
Optimal Convergence Rate of Lie-Trotter Approximation for Quantum Thermal Averages
Xuda Ye, Zhennan Zhou
The Lie--Trotter product formula is a foundational approximation for the quantum partition function, yet obtaining rigorous error bounds for the unbounded Hamiltonians common in ph…
math.NA2023
Dimension-free Ergodicity of Path Integral Molecular Dynamics
Xuda Ye, Zhennan Zhou
The quantum thermal average plays a central role in describing the thermodynamic properties of a quantum system. Path integral molecular dynamics (PIMD) is a prevailing approach fo…