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Dynamics of the Mott insulator to superfluid quantum phase transition in the truncated Wigner approximation
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Dynamics of the Mott insulator to superfluid quantum phase transition in the truncated Wigner approximation
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: | |
| 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 |
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Except where otherwise noted, this item's license is described as Udzielam licencji. Uznanie autorstwa 3.0
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