Published 2005
| Version v1
Conference paper
Equilibrium and Dynamical Properties of the Boson Hubbard Model in One Dimension
- Others:
- Department of Physics and Astronomy [Univ California Davis] (Physics - UC Davis) ; University of California [Davis] (UC Davis) ; University of California (UC)-University of California (UC)
- Institut Non Linéaire de Nice Sophia-Antipolis (INLN) ; Université Nice Sophia Antipolis (1965 - 2019) (UNS) ; COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)
- Lorentz Institute ; Universiteit Leiden [Leiden]
- Theoretische Physik ; Universität des Saarlandes [Saarbrücken]
- Institut für Theoretische Physik ; ETH Hönggerberg
Description
We describe quantum monte carlo simulations of the static and dynamic properties of the one dimensional boson Hubbard model, emphasizing the extent to which an external confining potential modifies the behavior. While the superfluid-Mott insulator quantum phase transition no longer exists when the system is confined, Mott and superfluid regions persist locally in the system. We construct a 'state diagram' based on the local density and compressibility profiles. Solitons present in the dynamics of the unconfined system survive the addition of a trapping potential.
Additional details
- URL
- https://hal.archives-ouvertes.fr/hal-00021375
- URN
- urn:oai:HAL:hal-00021375v1
- Origin repository
- UNICA