Dynamics of the Mott insulator to superfluid quantum phase transition in the truncated Wigner approximation

doi:10.1088/1742-6596/414/1/012029

Dynamics of the Mott insulator to superfluid quantum ...

Bibliographic description

title:	Dynamics of the Mott insulator to superfluid quantum phase transition in the truncated Wigner approximation
author:	Tylutki Marek, Dziarmaga Jacek , Żurek Wojciech H.
Journal title:	Journal of Physics. Conference Series
Title of volume:	21st International Laser Physics Workshop : 23-27 July 2012, Calgary, Canada
volume:	414
date of publication:	2013
article ID:	012029
ISSN:	1742-6588
eISSN:	1742-6596
DOI:	10.1088/1742-6596/414/1/012029
language:	English
Journal language:	English
abstract in english:	The quantum phase transition from the Mott insulator state to the superfluid in the Bose-Hubbard model is investigated. We research one, two and three dimensional lattices in the truncated Wigner approximation. We compute both kinetic and potential energy and they turn out to have a power law behaviour as a function of the transition rate, with the power equal to 1/3. The same applies to the total energy in a system with a harmonic trap, which is usually present in the experimental set-up. These observations are in agreement with the experiment of [8], where such scalings were also observed and the power of the decay was numerically close to 1/3. The results confirm the Kibble-Zurek (adiabatic-impulse-adiabatic approximation) scenario for this transition.
number of pulisher's sheets:	1
Conference:	21st International Laser Physics Workshop; 2012-07-23; 2012-07-27; Calgary; Kanada; indeksowana w Web of Science; indeksowana w Scopus; ;
affiliation:	Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
type:	journal article
subtype:	conference proceedings