Local exclusion principle for identical particles obeying intermediate and fractional statistics

TY - JOUR

T1 - Local exclusion principle for identical particles obeying intermediate and fractional statistics

AU - Lundholm, Douglas

AU - Solovej, Jan Philip

PY - 2013/12/16

Y1 - 2013/12/16

N2 - A local exclusion principle is observed for identical particles obeying intermediate and fractional exchange statistics in one and two dimensions, leading to bounds for the kinetic energy in terms of the density. This has implications for models of Lieb-Liniger and Calogero-Sutherland type and implies a nontrivial lower bound for the energy of the anyon gas whenever the statistics parameter is an odd numerator fraction. We discuss whether this is actually a necessary requirement.

AB - A local exclusion principle is observed for identical particles obeying intermediate and fractional exchange statistics in one and two dimensions, leading to bounds for the kinetic energy in terms of the density. This has implications for models of Lieb-Liniger and Calogero-Sutherland type and implies a nontrivial lower bound for the energy of the anyon gas whenever the statistics parameter is an odd numerator fraction. We discuss whether this is actually a necessary requirement.

U2 - 10.1103/PhysRevA.88.062106

DO - 10.1103/PhysRevA.88.062106

M3 - Journal article

SN - 2469-9926

VL - 88

JO - Physical Review A (Atomic, Molecular and Optical Physics)

JF - Physical Review A (Atomic, Molecular and Optical Physics)

IS - 6

M1 - 062106

ER -