Quantum dynamics and entanglement in coherent transport of atomic population

Olsen, M. K. (2014) Quantum dynamics and entanglement in coherent transport of atomic population. Journal of Physics B: Atomic, Molecular and Optical Physics, 47 9: . doi:10.1088/0953-4075/47/9/095301


Author Olsen, M. K.
Title Quantum dynamics and entanglement in coherent transport of atomic population
Journal name Journal of Physics B: Atomic, Molecular and Optical Physics   Check publisher's open access policy
ISSN 1361-6455
0953-4075
Publication date 2014-05-15
Year available 2014
Sub-type Article (original research)
DOI 10.1088/0953-4075/47/9/095301
Open Access Status Not Open Access
Volume 47
Issue 9
Total pages 6
Place of publication Bristol, United Kingdom
Publisher Institute of Physics Publishing
Language eng
Abstract In this work we look at the quantum dynamics of the process known as either transport without transit, or coherent transfer of atomic population, of a Bose-Einstein condensate from one well of a lattice potential to another, non-adjacent well, without macroscopic occupation of the well between the two. This process has previously been analysed and in this work we extend those analyses by considering the effects of quantum statistics on the dynamics and entanglement properties of the condensate modes in the two relevant wells. In order to do this, we go beyond the mean-field analysis of the Gross-Pitaevskii type approach and utilize the phase-space stochastic methods so well known in quantum optics. In particular, we use the exact positive-P representation where it is suitable, and the approximate truncated Wigner representation otherwise. We find strong agreement between the results of these two methods, with the mean-field dynamics not depending on the initial quantum states of the trapped condensate. We find that the entanglement properties do depend strongly on the initial quantum states, with quantitatively different results found for coherent and Fock states. Comparison of the two methods gives us confidence that the truncated Wigner representation delivers accurate results for this system and is thus a useful method as the collisional nonlinearity increases and the positive-P results fail to converge.
Keyword Bose
Bose-Einstein
Bose–Hubbard
Entanglement
Quantum simulation
Q-Index Code C1
Q-Index Status Confirmed Code
Grant ID FT100100515
Institutional Status UQ
Additional Notes Article no. 095301

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2015 Collection
 
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