Strongly correlated phases in rapidly rotating Bose gases

M. Lewin, R. Seiringer, Journal of Statistical Physics 137 (2009) 1040–1062.


Journal Article | Published
Author
Abstract
We consider a system of trapped spinless bosons interacting with a repulsive potential and subject to rotation. In the limit of rapid rotation and small scattering length, we rigorously show that the ground state energy converges to that of a simplified model Hamiltonian with contact interaction projected onto the Lowest Landau Level. This effective Hamiltonian models the bosonic analogue of the Fractional Quantum Hall Effect (FQHE). For a fixed number of particles, we also prove convergence of states; in particular, in a certain regime we show convergence towards the bosonic Laughlin wavefunction. This is the first rigorous justification of the effective FQHE Hamiltonian for rapidly rotating Bose gases. We review previous results on this effective Hamiltonian and outline open problems.
Publishing Year
Date Published
2009-01-01
Journal Title
Journal of Statistical Physics
Volume
137
Issue
5
Page
1040 - 1062
IST-REx-ID

Cite this

Lewin M, Seiringer R. Strongly correlated phases in rapidly rotating Bose gases. Journal of Statistical Physics. 2009;137(5):1040-1062. doi:10.1007/s10955-009-9833-y
Lewin, M., & Seiringer, R. (2009). Strongly correlated phases in rapidly rotating Bose gases. Journal of Statistical Physics, 137(5), 1040–1062. https://doi.org/10.1007/s10955-009-9833-y
Lewin, Mathieu, and Robert Seiringer. “Strongly Correlated Phases in Rapidly Rotating Bose Gases.” Journal of Statistical Physics 137, no. 5 (2009): 1040–62. https://doi.org/10.1007/s10955-009-9833-y.
M. Lewin and R. Seiringer, “Strongly correlated phases in rapidly rotating Bose gases,” Journal of Statistical Physics, vol. 137, no. 5, pp. 1040–1062, 2009.
Lewin M, Seiringer R. 2009. Strongly correlated phases in rapidly rotating Bose gases. Journal of Statistical Physics. 137(5), 1040–1062.
Lewin, Mathieu, and Robert Seiringer. “Strongly Correlated Phases in Rapidly Rotating Bose Gases.” Journal of Statistical Physics, vol. 137, no. 5, Springer, 2009, pp. 1040–62, doi:10.1007/s10955-009-9833-y.

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