Atomic Wehrl Entropy of a Single Qubit System
(2011) In International Journal of Quantum Information 9(3). p.967-979- Abstract
- We propose the use of atomic Wehrl entropy associated to the reduced atomic density operator as an entanglement indicator of bipartite systems. This is applied to a two-level system (one single harmonically trapped ion) by taking into account the linear center-of-mass-motional degree of freedom. Detailed analytical and explicit expressions are given, taking into account different configurations. The results show the important roles played by the laser phase and initial state setting in the evolution of the atomic Q-function, atomic Wehrl entropy and marginal atomic Q-function. Our procedure of using atomic Wehrl entropy may be applied to a system with Hilbert space of high dimension.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2052605
- author
- Abdel-Khalek, S. ; Abdel-Hameed, H. F. and Abdel-Aty, Mahmoud LU
- organization
- publishing date
- 2011
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Trapped ion, marginal distribution, atomic Wehrl entropy
- in
- International Journal of Quantum Information
- volume
- 9
- issue
- 3
- pages
- 967 - 979
- publisher
- World Scientific Publishing
- external identifiers
-
- wos:000291821700012
- scopus:79959196591
- ISSN
- 1793-6918
- DOI
- 10.1142/S0219749911007538
- language
- English
- LU publication?
- yes
- id
- 1efe76b0-178a-4690-a654-0f11f2a91601 (old id 2052605)
- date added to LUP
- 2016-04-01 10:21:38
- date last changed
- 2022-04-27 21:18:31
@article{1efe76b0-178a-4690-a654-0f11f2a91601, abstract = {{We propose the use of atomic Wehrl entropy associated to the reduced atomic density operator as an entanglement indicator of bipartite systems. This is applied to a two-level system (one single harmonically trapped ion) by taking into account the linear center-of-mass-motional degree of freedom. Detailed analytical and explicit expressions are given, taking into account different configurations. The results show the important roles played by the laser phase and initial state setting in the evolution of the atomic Q-function, atomic Wehrl entropy and marginal atomic Q-function. Our procedure of using atomic Wehrl entropy may be applied to a system with Hilbert space of high dimension.}}, author = {{Abdel-Khalek, S. and Abdel-Hameed, H. F. and Abdel-Aty, Mahmoud}}, issn = {{1793-6918}}, keywords = {{Trapped ion; marginal distribution; atomic Wehrl entropy}}, language = {{eng}}, number = {{3}}, pages = {{967--979}}, publisher = {{World Scientific Publishing}}, series = {{International Journal of Quantum Information}}, title = {{Atomic Wehrl Entropy of a Single Qubit System}}, url = {{http://dx.doi.org/10.1142/S0219749911007538}}, doi = {{10.1142/S0219749911007538}}, volume = {{9}}, year = {{2011}}, }