Coe, J. P., Franca, V. V. and D'Amico, I. (2010) Hubbard model as an approximation to the entanglement in nanostructures. Physical Review A. -. ISSN 1050-2947Full text available as:
We investigate how well the one-dimensional Hubbard model describes the entanglement of particles trapped in a string of quantum wells. We calculate the average single-site entanglement for two particles interacting via a contact interaction and consider the effect of varying the interaction strength and the interwell distance. We compare the results with the ones obtained within the one-dimensional Hubbard model with on-site interaction. We suggest an upper bound for the average single-site entanglement for two electrons in M wells and discuss analytical limits for very large repulsive and attractive interactions. We investigate how the interplay between interaction and potential shape in the quantum-well system dictates the position and size of the entanglement maxima and the agreement with the theoretical limits. Finally, we calculate the spatial entanglement for the quantum-well system and compare it to its average single-site entanglement.
|Copyright, Publisher and Additional Information:||© 2010 American Physical Society. This is an author produced version of a paper published in PHYSICAL REVIEW A . Uploaded in accordance with the publisher's self archiving policy.|
|Academic Units:||The University of York > Physics (York)|
|Depositing User:||Repository Administrator York|
|Date Deposited:||20 Jun 2010 18:48|
|Last Modified:||01 May 2013 23:01|
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