Inter-species entanglement of Bose-Bose mixtures trapped in optical lattices

• Published in: New journal of physics Vol. 18; no. 6; pp. 63002 - 63013
• Main Authors: Wang (王 巍), Wei, Penna, Vittorio, Capogrosso-Sansone, Barbara
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 31-05-2016
• Subjects: Bose-Bose mixture; Computer simulation; Entanglement; Hilbert space; inter-species; lattice symmetry; Mott-insulator; mutual information; Optical lattices; Perturbation methods; Perturbation theory; phase boundary shift; Phase transitions; Physics
• ISSN: 1367-2630; 1367-2630
• DOI: 10.1088/1367-2630/18/6/063002

In the present work we discuss inter-species entanglement in Bose-Bose mixtures trapped in optical lattices. This work is motivated by the observation that, in the presence of a second component, the MI lobe shifts differently on the hole- and particle-side with respect to the Mott lobe of the single species system (Guglielmino et al 2010 Phys. Rev. A 82 021601; Capogrosso-Sansone et al 2011 Laser Phys. 21 1443). We use perturbation theory, formulated in a Hilbert space decomposed by means of lattice symmetries, in order to show that the nonuniform shift of the Mott lobe is a manifestation of inter-species entanglement which differs in the lowest excited states to remove and add a particle. Our results indicate that inter-species entanglement in mixtures can provide a new perspective in understanding quantum phase transitions. To validate our approach, we compare our results from perturbation theory with quantum Monte Carlo simulations.