Dimensional crossover in entanglement measures for the Calogero model

FEDERICO M. PONT; ELOISA CUESTAS; OMAR OSENDA; MARIANO GARAGIOLA; PABLO SERRA

Bariloche

Congreso; Driven Quantum Systems 2016; 2016

International Centre for Theoretical Physics

The occupation numbers and von Neumann entropy for the two-particle Calogero model ground state was studied in one and two dimension as a function of the strength parameter. In the one-dimensional case, the von Neumann entropy is a non-monotonic function and have a finite value in the large interaction strength limit. Moreover, is possible to calculate these finite value from analytical expression. For the two-dimensional case, the isotropic and anisotropic confinement were studied. In the isotropic case, it was shown that the von Neumann entropy is a divergentfunction of the interaction strength parameter. For both one and two dimensional cases, the Schmidt decomposition of one particle system was deduced from the harmonic approximation. The von Neumann entropy behavior as a function of the anisotropy parameter was also studied. It was shown that in the isotropic confinement limit, the von Neumann entropy has a logarithmic divergence while for large values of theanisotropy parameter, the one-dimensional behavior is recovered, showing a dimensional crossover in this entanglement measure.