Investigating mesoscopic circuits with the entangled state representations

doi:10.1088/1674-1056/22/1/016804

Abstract By employing the continuous parameter entangled state representations, we investigate the energy level and the wave function for a capacitively and mutual-inductively coupled LC mesoscopic circuit. It is found that investigating the mesoscopic circuit in such representations can bring us the following conveniences. Firstly, the dynamical equation is naturally transformed into a single-variable differential equation. Secondly, the center-of-mass kinetic energy is included in the energy level of the system. Thus it is instructive to introduce the entangled state representation into the investigation of mesoscopic circuits.

Keywords: mesoscopic circuit energy level wave function entangled state

Received: 07 February 2012
Revised: 31 May 2012
Accepted manuscript online:

PACS:	68.65.-k	(Low-dimensional, mesoscopic, nanoscale and other related systems: structure and nonelectronic properties)
	03.65.-w	(Quantum mechanics)
	05.30.-d	(Quantum statistical mechanics)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11147009), and the Natural Science Foundation of Shandong Province, China (Grant Nos. ZR2010AQ027 and ZR2012AM004)

Corresponding Authors: Liang Bao-Long
E-mail: baolong-liang951@sohu.com; blliang@lcu.edu.cn

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Liang Bao-Long (梁宝龙), Wang Ji-Suo (王继锁), Meng Xiang-Guo (孟祥国), Yang Qin-Ying (杨芹英) Investigating mesoscopic circuits with the entangled state representations 2013 Chin. Phys. B 22 016804

[1]	Fan H Y and Pan X Y 1998 Chin. Phys. Lett. 15 625
[2]	Vandersypen L M K, Steffen M, Breyta G, Yannoni C S, Sherwood M H and Chuang I L 2001 Nature 414 883
[3]	Gulde S, Riebe M, Lancaster G P T, Becher C, Eschner J, Häffner H, Schmidt-Kaler F, Chuang I L and Blatt R 2003 Nature 421 48
[4]	Turchette Q A, Hood C J, Lange W, Mabuchi H and Kimble H J 1995 Phys. Rev. Lett. 75 4710
[5]	Liang B L, Wang J S, Meng X G and Su J 2010 Chin. Phys. B 19 010315
[6]	Liang B L and Wang J S 2007 Chin. Phys. 16 3097
[7]	Xu C L 2012 Chin. Phys. B 21 020402
[8]	Louisell W H 1973 Quantum Statistical Properties of Radiation (New York: John Wiley) Chapter 4
[9]	Makhlin Y, Schön G and Shnirman A 2001 Rev. Mod. Phys. 73 357
[10]	Nakamura Y, Pashkin Y A and Tsai J S 1999 Nature 398 786
[11]	Deppe F, Mariantoni M, Menzel E P, Saito S, Kakuyanagi K, Tanaka H, Meno T, Semba K, Takayanagi H and Gross R 2007 Phys. Rev. B 76 214503
[12]	van der Ploeg S H W, Izmalkov A, van den Brink A M, Hübner U, Grajcar M, Il'ichev E, Meyer H G and Zagoskin A M 2007 Phys. Rev. Lett. 98 057004
[13]	Meng X G, Wang J S and Liang B L 2008 J. Phys. A: Math. Theor. 41 235208
[14]	Dirac P A M 1958 The Principles of Quantum Mechanics (Oxford: Oxford Univ. Press)
[15]	Einstein A, Podolsky B and Rosen N 1935 Phys. Rev. 47 777
[16]	Fan H Y and Xiong Y 1995 Phys. Rev. A 51 3343
[17]	Fan H Y, Zaidi H R and Klauder J R 1987 Phys. Rev. D 35 1831
[18]	Fan H Y and Zaidi H R 1988 Phys. Rev. A 37 2985

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