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physics.comp-ph2026
The Path Integral Monte Carlo Sign Problem Is Not Always NP-Hard: Harmonic Fermions Can Be Solved in Quadratic Time
Aarif Chaudhary, Jonas Valenzuela, Siu A. Chin
In the Path Integral Monte Carlo (PIMC) simulation of fermions in a harmonic trap, with and without pairwise harmonic interactions, the partition functions for any discrete number…
physics.comp-ph2026
Newton's Identity in Finite-Bead Fermionic Partition Function
A. Chaudhary, J. Valenzuela
For non-interacting fermions in a harmonic trap, the partition function at any discrete number of imaginary time slices (or beads) and for any choice of short-time propagator admit…