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For the first time, as far as we know, we use the approach of solving the amplitude-decaying master equation of density matrix to study the quantum dissipation of a mesoscopic RLC circuit, and thus find out the attenuation law of circuit energy. We then use the entangled state representation and the technique of integration within an ordered product of operators to explore this problem.
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Keywords:
- mesoscopic RLC circuit /
- dissipative channel /
- master equation /
- entangled state representation
[1] Louisell W H 1973 Quantum Statistical Properties of Radiation (New York: John Wiley)
[2] [3] Fan H Y, Liang X T 2000 Chin. Phys. Lett. 17 174
[4] [5] Song T Q 2003 Int. J. Theor. Phys. 42 793
[6] [7] Wang J S, Liu T K, Zhan M S 2000 Chin. Phys. Lett. 17 528
[8] Xu X L, Li H Q, Wang J S 2006 Int. J. Theor. Phys. 45 2517
[9] [10] [11] Wang J S, Sun C Y 1998 Int. J. Theor. Phys. 37 1213
[12] [13] Fan H Y, Pan X Y 1998 Chin. Phys. Lett. 15 625
[14] Xu C L 2012 Chin. Phys. B 21 020402
[15] [16] Fan H Y, Xu X X, Hu L Y 2010 Chin. Phys. B 19 060502
[17] [18] [19] Xu X L, Li H Q, Wang J S 2007 Chin. Phys. 16 2462
[20] [21] Xie Y X, Li Z J, Zhou G H 2007 Acta. Phys. Sin. 56 7224 (in Chinese)[谢月新, 李志坚, 周光辉 2007 56 7224]
[22] Long C Y 2003 Acta. Phys. Sin. 52 2033 (in Chinese)[龙超云 2003 52 2033]
[23] [24] [25] Fan H Y, Hu L Y 2008 Opt. Commun. 281 5571
[26] [27] Fan H Y, Hu L Y 2009 Opt. Commun. 282 932
[28] [29] Fan H Y, Hu L Y 2008 Mod. Phys. Lett. B 22 2435
[30] [31] Fan H Y, Vanderlinde J 1989 Phys. Rev. A 39 1552
[32] [33] Fan H Y 1990 Phys. Rev. A 41 1526
[34] [35] Hu L Y, Fan H Y 2009 Chin. Phys. Lett. 26 090307
[36] Hu L Y, Fan H Y 2009 Commun. Theor. Phys. 51 321
[37] [38] Wei U 1999 Quantum Dissipative System (Singapore: World Scientific)
[39] [40] [41] Fan H Y 1991 Phys. Lett. A 161 1
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[1] Louisell W H 1973 Quantum Statistical Properties of Radiation (New York: John Wiley)
[2] [3] Fan H Y, Liang X T 2000 Chin. Phys. Lett. 17 174
[4] [5] Song T Q 2003 Int. J. Theor. Phys. 42 793
[6] [7] Wang J S, Liu T K, Zhan M S 2000 Chin. Phys. Lett. 17 528
[8] Xu X L, Li H Q, Wang J S 2006 Int. J. Theor. Phys. 45 2517
[9] [10] [11] Wang J S, Sun C Y 1998 Int. J. Theor. Phys. 37 1213
[12] [13] Fan H Y, Pan X Y 1998 Chin. Phys. Lett. 15 625
[14] Xu C L 2012 Chin. Phys. B 21 020402
[15] [16] Fan H Y, Xu X X, Hu L Y 2010 Chin. Phys. B 19 060502
[17] [18] [19] Xu X L, Li H Q, Wang J S 2007 Chin. Phys. 16 2462
[20] [21] Xie Y X, Li Z J, Zhou G H 2007 Acta. Phys. Sin. 56 7224 (in Chinese)[谢月新, 李志坚, 周光辉 2007 56 7224]
[22] Long C Y 2003 Acta. Phys. Sin. 52 2033 (in Chinese)[龙超云 2003 52 2033]
[23] [24] [25] Fan H Y, Hu L Y 2008 Opt. Commun. 281 5571
[26] [27] Fan H Y, Hu L Y 2009 Opt. Commun. 282 932
[28] [29] Fan H Y, Hu L Y 2008 Mod. Phys. Lett. B 22 2435
[30] [31] Fan H Y, Vanderlinde J 1989 Phys. Rev. A 39 1552
[32] [33] Fan H Y 1990 Phys. Rev. A 41 1526
[34] [35] Hu L Y, Fan H Y 2009 Chin. Phys. Lett. 26 090307
[36] Hu L Y, Fan H Y 2009 Commun. Theor. Phys. 51 321
[37] [38] Wei U 1999 Quantum Dissipative System (Singapore: World Scientific)
[39] [40] [41] Fan H Y 1991 Phys. Lett. A 161 1
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