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28. November 2018 14:00

Deviations from off-diagonal long-range order and mesoscopic condensation in one-dimensional quantum systems

Andrea Colcelli
SISSA Trieste, Italy

A quantum system exhibits off-diagonal long-range order (ODLRO) when the largest eigenvalue λ0 of the one-body-density matrix scales as λ0 ~ N, where N is the total number of particles. Putting λ0 ~ 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 talk I will present the study of the exponent C in a variety of one-dimensional bosonic and anyonic systems.