Condensation of interacting bosons in a random potential

R. Seiringer, J. Yngvason, V. Zagrebnov, European Physical Journal: Special Topics 217 (2013) 103–107.

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Abstract
We study the effects of random scatterers on the ground state of the one-dimensional Lieb-Liniger model of interacting bosons on the unit interval. We prove that, in the Gross-Pitaevskii limit, Bose Einstein condensation takes place in the whole parameter range considered. The character of the wave function of the condensate, however, depends in an essential way on the interplay between randomness and the strength of the two-body interaction. For low density of scatterers or strong interactions the wave function extends over the whole interval. High density of scatterers and weak interaction, on the other hand, leads to localization of the wave function in a fragmented subset of the unit interval.
Publishing Year
Date Published
2013-02-01
Journal Title
European Physical Journal: Special Topics
Volume
217
Issue
1
Page
103 - 107
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Seiringer R, Yngvason J, Zagrebnov V. Condensation of interacting bosons in a random potential. European Physical Journal: Special Topics. 2013;217(1):103-107. doi:10.1140/epjst/e2013-01759-5
Seiringer, R., Yngvason, J., & Zagrebnov, V. (2013). Condensation of interacting bosons in a random potential. European Physical Journal: Special Topics, 217(1), 103–107. https://doi.org/10.1140/epjst/e2013-01759-5
Seiringer, Robert, Jakob Yngvason, and Valentin Zagrebnov. “Condensation of Interacting Bosons in a Random Potential.” European Physical Journal: Special Topics 217, no. 1 (2013): 103–7. https://doi.org/10.1140/epjst/e2013-01759-5.
R. Seiringer, J. Yngvason, and V. Zagrebnov, “Condensation of interacting bosons in a random potential,” European Physical Journal: Special Topics, vol. 217, no. 1, pp. 103–107, 2013.
Seiringer R, Yngvason J, Zagrebnov V. 2013. Condensation of interacting bosons in a random potential. European Physical Journal: Special Topics. 217(1), 103–107.
Seiringer, Robert, et al. “Condensation of Interacting Bosons in a Random Potential.” European Physical Journal: Special Topics, vol. 217, no. 1, Springer, 2013, pp. 103–07, doi:10.1140/epjst/e2013-01759-5.

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