We present a thorough description of the physical regimes for ultracold bosons in double wells, with special attention paid to macroscopic superpositions (MSs). We use a generalization of the Lipkin-Meshkov-Glick Hamiltonian of up to eight single particle modes to study these MSs, solving the Hamiltonian with a combination of numerical exact diagonalization and high-order perturbation theory. The MS is between left and right potential wells; the extreme case with all atoms simultaneously located in both wells and in only two modes is the famous NOON state, but our approach encompasses much more general MSs. Use of more single particle modes brings dimensionality into the problem, allows us to set hard limits on the use of the original two-mode LMG model commonly treated in the literature, and also introduces a mixed Josephson-Fock regime. Higher modes introduce angular degrees of freedom and MS states with different angular properties.
%0 Journal Article
%1 GarciaMarch2012Macroscopic
%A Garcia-March, M. A.
%A Dounas-Frazer, D. R.
%A Carr, LincolnD
%B Frontiers of Physics
%D 2012
%I SP Higher Education Press
%K bec, doublewell
%N 1
%P 131--145
%R 10.1007/s11467-011-0236-6
%T Macroscopic superposition states of ultracold bosons in a double-well potential
%U http://dx.doi.org/10.1007/s11467-011-0236-6
%V 7
%X We present a thorough description of the physical regimes for ultracold bosons in double wells, with special attention paid to macroscopic superpositions (MSs). We use a generalization of the Lipkin-Meshkov-Glick Hamiltonian of up to eight single particle modes to study these MSs, solving the Hamiltonian with a combination of numerical exact diagonalization and high-order perturbation theory. The MS is between left and right potential wells; the extreme case with all atoms simultaneously located in both wells and in only two modes is the famous NOON state, but our approach encompasses much more general MSs. Use of more single particle modes brings dimensionality into the problem, allows us to set hard limits on the use of the original two-mode LMG model commonly treated in the literature, and also introduces a mixed Josephson-Fock regime. Higher modes introduce angular degrees of freedom and MS states with different angular properties.
@article{GarciaMarch2012Macroscopic,
abstract = {We present a thorough description of the physical regimes for ultracold bosons in double wells, with special attention paid to macroscopic superpositions (MSs). We use a generalization of the Lipkin-Meshkov-Glick Hamiltonian of up to eight single particle modes to study these MSs, solving the Hamiltonian with a combination of numerical exact diagonalization and high-order perturbation theory. The MS is between left and right potential wells; the extreme case with all atoms simultaneously located in both wells and in only two modes is the famous NOON state, but our approach encompasses much more general MSs. Use of more single particle modes brings dimensionality into the problem, allows us to set hard limits on the use of the original two-mode LMG model commonly treated in the literature, and also introduces a mixed Josephson-Fock regime. Higher modes introduce angular degrees of freedom and MS states with different angular properties.},
added-at = {2014-01-09T15:14:33.000+0100},
author = {Garcia-March, M. A. and Dounas-Frazer, D. R. and Carr, LincolnD},
biburl = {https://www.bibsonomy.org/bibtex/2f1b48948bfa733522024a2c8ebe382b8/jaspervh},
booktitle = {Frontiers of Physics},
citeulike-article-id = {12797189},
citeulike-linkout-0 = {http://dx.doi.org/10.1007/s11467-011-0236-6},
citeulike-linkout-1 = {http://link.springer.com/article/10.1007/s11467-011-0236-6},
doi = {10.1007/s11467-011-0236-6},
interhash = {d43007bc76c21829e3914104b2176ef1},
intrahash = {f1b48948bfa733522024a2c8ebe382b8},
keywords = {bec, doublewell},
number = 1,
pages = {131--145},
posted-at = {2013-11-21 13:21:20},
priority = {2},
publisher = {SP Higher Education Press},
timestamp = {2014-01-09T15:14:33.000+0100},
title = {Macroscopic superposition states of ultracold bosons in a double-well potential},
url = {http://dx.doi.org/10.1007/s11467-011-0236-6},
volume = 7,
year = 2012
}