4 papers
The Arithmetic of Spectra: Factorization, Statistics, and Symmetric Functions
A. Chaudhary
We study factorizations of the single-particle spectrum of non-interacting quantum systems and their consequences for many-particle statistics. Representing the single-particle par…
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…
Parafermions in plain sight
Siu A. Chin, A. Chaudhary
We show that for any potential with a discrete energy spectrum, the well-known interpolation between ideal boson and fermion partition functions at discrete values of yiel…
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…