Three-Mode Approximation of Symmetrical Triple-Square Wells
American Journal of Modern Physics
Volume 3, Issue 2, March 2014, Pages: 113-117
Received: Mar. 4, 2014; Accepted: Apr. 11, 2014; Published: Apr. 20, 2014
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Authors
XinJian Liu, Institute of Theoretical Physics and Department of Physics, Shanxi University, Taiyuan, China
WeiDong Li, Institute of Theoretical Physics and Department of Physics, Shanxi University, Taiyuan, China
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Abstract
One transformation, analogy to two mode approximation, is presented for triple-square wells. The energy splitting is determined by the strength of the tunneling coupling between nearest neighbor wells, while the next-nearest neighbor tunneling coupling plays crucial role to the invariant first excited state with the maximum entanglement states for the far separated square-wells
Keywords
Symmetrical Triple-Square Wells, Three-Mode Approximation, Energy Spectrum, Transformation
To cite this article
XinJian Liu, WeiDong Li, Three-Mode Approximation of Symmetrical Triple-Square Wells, American Journal of Modern Physics. Vol. 3, No. 2, 2014, pp. 113-117. doi: 10.11648/j.ajmp.20140302.20
References
[1]
Andrew D. Greentree, Jared H. Cole, A. R. Hamilton, and Lloyd C. L. Hollenberg, Coherent electronic transfer in quantum dot systems using adiabatic passage, Phys. Rev. B. 70,235317 (2004)
[2]
J. H. Cole, A. D. Greentree, L. C. L. Hollenbeg, and S. Das. Sarma, Spatial adiabatic passage in a realistic triple well structure, Pyhs. Rev. B. 77, 235418 (2008)
[3]
Xin-You Lu and Jing Wu, Three-mode entanglement viatunneling-induced interference in a coupled triple-semiconductor quantum-well structure, Pyhs. Rev. A. 82, 012323(2010)
[4]
Jero Me Rech and Stefan Kehrein, Effect of Measurement Backaction on Adiabatic Coherent Electron Transport, Phys. Rev. Lett. 106,136808 (2011)
[5]
B. Liu, L. B. Fu, S. P. Yang, and, J. Liu, Josephson oscillation and transition to self-trapping for Bose-Einstein condensates in a triple-well trap, Phys. Rev. A.75, 033601 (2007)
[6]
WangHai-Lei, YangShi-Ping, Switch effect of Bose-Einstein condensates in a triple-well potential, Acta. Phys. Sin. 57, 3290(2008)
[7]
Rosario Paredes, Tunneling of ultracold Bose gases in multiple wells, Phys. Rev. A. 73, 033616 (2006)
[8]
Thiago F Viscondi, and, K Furuya, Dynamics of Bose-Einstein condensate in a symmetric triple-well trap,J. Phys.A.44,1753 (2011)
[9]
Alexej I. Streltsov, Kaspar Sakmann, Ofire. Alon and Lorenz. S. Cederbaum, Accurate multi-boson long-time dynamics in triple-well periodic traps, Phys. Rev. A. 83, 043604 (2011)
[10]
T. Lahaye, T. Pfau, and, L. Santos, Mesoscopic Ensembles of Polar Bosons in Triple-Well Potentials, Phys. Rev. Lett. 104,170404 (2010)
[11]
A. Smerzi, S. Fantoni, S. Giovanazzi, and,S. R. Shenoy, Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates,Phys. Rev. Lett. 79,4950 (1997)
[12]
WeiDong Li, Stationary solutions of Gross-Pitaevskii equations in a double square well, Phys. Rev. A. 74, 063612 (2006)
[13]
XinYan Jia, WeiDong Li, and, J. Q. Liang, Nonlinear correction to the boson Josephson-junction model, Phys. Rev.A. 78, 023613 (2008)
[14]
Ping-Zhang, Xian-Geng Zhao, Localization and entanglement of two interacting electrons in a double quantum dot, J. Phys. Condens. Matter.13, 8389 (2001)
[15]
S. J. Van. Enk, Pyhs. Single-particle entanglement, Rev. A. 72, 064306 (2005)
[16]
Marcelo O. Terra Cunha, Jacob A Dunningham and Vlatko Vedral, Proc. R. Soc. A. 463, 2277 (2007)
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