Long- and short-range interaction footprints in entanglement entropies of two-particle Wigner molecules in 2D quantum traps

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

PHYSICS LETTERS A

ELSEVIER SCIENCE BV

Lugar: Amsterdam; Año: 2017 vol. 381 p. 2153 - 2160

0375-9601

The occupancies and entropic entanglement measures for the ground state of twoparticles in a two-dimensional harmonic anisotropic trap are studied. Weimplement a method to study the large interaction strength limit for differentshort- and long-range interaction potentials that allows to obtain the exactentanglement spectrum and several entropies. We show that for long-rangeinteractions, thevon Neumann, min-entropy and the family of R´enyi entropies remain finite for theanisotropic traps and diverge logarithmically for the isotropic traps.In the short-range interaction case the entanglement measures diverge forany anisotropic parameter due to the divergence of uncertainty in the momentumsince for short-range interactions the relative position width vanishes.We also show that when the reduced density matrix has finite support theR´enyi entropies present a non-analytical behaviour.