6533b873fe1ef96bd12d57bb
RESEARCH PRODUCT
Quantum signatures of the self-trapping transition in attractive lattice bosons
Pierfrancesco BuonsanteVittorio PennaAlessandro Vezzanisubject
PhysicsCondensed Matter::Quantum GasesHubbard modelMathematical modelFOS: Physical sciencesSemiclassical physicsAtomic and Molecular Physics and OpticsQuantum Gases (cond-mat.quant-gas)Lattice (order)Quantum mechanicsSymmetry breakingGround stateCondensed Matter - Quantum GasesQuantumBosondescription
We consider the Bose-Hubbard model describing attractive bosonic particles hopping across the sites of a translation-invariant lattice, and compare the relevant ground-state properties with those of the corresponding symmetry-breaking semiclassical nonlinear theory. The introduction of a suitable measure allows us to highlight many correspondences between the nonlinear theory and the inherently linear quantum theory, characterized by the well-known self-trapping phenomenon. In particular we demonstrate that the localization properties and bifurcation pattern of the semiclassical ground-state can be clearly recognized at the quantum level. Our analysis highlights a finite-number effect.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-03-01 |