Quantum Compactons in an extended Bose-Hubbard model
2012 (English)Conference paper, Poster (Other academic)
The concept of a quantum lattice compacton (QLC) is introduced as an eigenstate with complete localizationon a number of consecutive lattice sites. It is shown that, for a Bose-Hubbard model extended with paircorrelatedhopping, only one-site QLCs exist as exact eigenstates at parameter values where the one-particletunneling is exactly canceled by nonlocal pair correlations. These eigenstates correspond in a classical limitto compact solutions of an extended discrete nonlinear Schrödinger model. Classical compactons at otherparameter values, as well as multisite compactons, generically get delocalized by quantum effects, but stronglocalization appears asymptotically for increasing particle number.
P. Jason and M. Johansson, Phys. Rev. A 85, 011603 (2012).
Place, publisher, year, edition, pages
2012. 41- p.
Atom and Molecular Physics and Optics
IdentifiersURN: urn:nbn:se:liu:diva-88417OAI: oai:DiVA.org:liu-88417DiVA: diva2:603411
2nd Conference on Localized Excitations in Nonlinear Complex Systems (LENCOS'12), Sevilla (Spain), July 9-12, 2012
FunderSwedish Research Council, 621-2009-3554