# Deviations from off-diagonal long-range order in one-dimensional quantum systems.

Colcelli A., Mussardo G., Trombettoni A.

Comunicazione
II - Fisica della materia
GSSI Ex ISEF - Aula C - Mercoledì 25 h 10:00 - 13:00
A quantum system exhibits off-diagonal long-range order (ODLRO) when the largest eigenvalue $\lambda_0$ of the one-body-density matrix scales as $\lambda_0 \sim N$, where $N$ is the total number of particles. Putting $\lambda_0 \sim N^C$ to define the scaling exponent $C$, then $C = 1$ corresponds to ODLRO and $C = 0$ to the single-particle occupation of the density matrix orbitals. When $0 < C < 1$, $C$ can be used to quantify deviations from ODLRO. In this contribution I will present the study of the exponent $C$ in a variety of one-dimensional bosonic and anyonic systems.