Quantum effects in inductance coupled mesoscopic circuit at excited coherent states

Abstract

Abstract:

Starting from the classical movement equation of an non-dissipative inductance coupled mesoscopic circuit , the circuit is quantized by using the method of linear transformation,and based on this the quantum fluctuations of currents and charges at excited coherent states are calculated. The results show that the average and square average of current and charge of each loop are not zero without power, i.e. there exist quantum fluctuations. And the fluctuations are not only determined by the loop parameters, but also related to another loop’s parameters and coupled inductance parameters. The quantum fluctuations in two circuits are relevant, and obviously depend on the state parameters of circuits, i.e., parameters of particle count states and coherent states.

Key words: quantum optics, excited coherent states, linear transformation, mesoscopic circuit, quantum effect

CLC Number:

O431.2

CAI Shao-hong, KANG Jin-ping, ZHANG Yu-qiang. Quantum effects in inductance coupled mesoscopic circuit at excited coherent states[J]. J4, 2011, 28(5): 605-611.

References

[1] Y Imry. Introduction to Mesoscopic Physics[M].Oxford: Oxford University Press, 1997.
[2] Yan Shousheng, Gan Zizhao. Mesoscopic Physics[M].Beijing: Beijing University Press,1995.
[3] Li Y Q, Chen B. Quantum theory of mesoscopic electrical circuit[J].Phys Rev,1996,B53(7):4027-4032.
[4] Chen B, Li Y Q. Quantum effects in a mesoscopic circuit[J].Phys Lett,1995,A205(1):121-124.
[5] Chen B. The quantum fluctuations of charges and currents in mesoscopic circuit[J].Chinese science(科学通报),1996,41(13):1170-1172(in Chinese).
[6] Wang J S. Quantum fluctuations of mesoscopic circuit in squeezing vacuum state[J]. Acta Physica Sinica(物理学报), 1997,46(10):2007-2009(in Chinese).
[7] Ji Y H. Quantum fluctuations in mesoscopic inductor coupled circuits[J].Chinese Journal of Quantum Electronics(量子电子学报), 1999,16(6):526-531(in Chinese).
[8] Wang J S. Quantum effects of a non-dissipatived mesoscopic circuit with inductance coupling[J].Acta Photonica Sinica (光子学报),2000,29(1):22-26 (in Chinese).
[9] Wang J S. Coulomb blockade and Quantum effects of charge in a non-dissipatived mesoscopic inductance-coupling circuits[J]. Acta Physica Sinica(物理学报), 2001,50(2):299-303 (in Chinese). [10] Cui Y S. The quantum fluctuation of mesoscopic dissipation dual-circuit under excited coherent states[J].Chinese Journal of Quantum Electronics(量子电子学报), 1999,16(4):310-314(in Chinese).
[11] Wang J S. Quantum fluctuations of a non-dissipative mesoscopic inductance coupling circuit in a displaced squeezed Fock state[J].Phys.Lett,2001,A281(5-6):341-346.
[12] Ji Y H. Dynamical behavior of a mesoscopic circuit in phonons bath derived by virtue of the IWOP technique[J].Phys.Lett.2008,A372:3874-3877.
[13] Hu J J, Ji Y H. Study on the influence of the quantum state for phonon bath on the quantum behavior of mesoscopic circuit [J]. Acta Physica Sinica(物理学报), 2008,57(01):496-501(in Chinese). [14] Qiu Shenyu, Cai Shaohong. The quantum effects of dissipative mesoscopic capacitance coupled circuits[J]. Acta Physica Sinica(物理学报),2006,55(2):816-819(in Chinese).
[15] Liu J X. Quantum effects of mesoscopic inductance and capacity coupling circuits[J]. Commu.Theor.Phys.2006,45(6):1126-1130
[16] Zhang Yuqiang, Cai Shaohong. Quantum fluctuations of a dissipative mesoscopic capacitance-inductance-resistance coupled circuit[J].Mod.Phys.Lett.2010,B24(11):1091-1098.
[17] Agarwal G S,Tarak.Nonclassical properties of states generated on a coherent state[J].Phys.Rev,1991 A43(1):492-497.
[18] V. V. Dodonov , Non-classical properties of states generated by the excitations of even/odd coherent states of light[J]. Quantum Semiclass . Opt . 1996（8）：413-427.
[19] Lu Hong, Guo Guangcan. Nonclassical properties of states generated by the superposition of excited coherent states[J]. Acta Physica Sinica(物理学报),1999,48(9):1644-1649(in Chinese).
[20]Guo Guangcan. Quantum Optics[M].Beijing: Higher Education Press,1990.
[21] Su Jie, Wang J S. Energy and quantum fluctuation of inductance coupling mesoscopic circuit at finite temperature[J]. Chinese Journal of Quantum Electronics(量子电子学报), 2009,26(2):231-236(in Chinese).
[22] Wang Shuai. Number-phase quantization and the quantum effects of mesoscopic circuit in free thermal state[J]. Chinese Journal of Quantum Electronics(量子电子学报), 2009,26(3):333-337(in Chinese).
[23]Yang Qingyi. Quantization of the generalized mesoscopic RLC parallel circuit and its quantum fluctuations in vacuum state[J]. Chinese Journal of Quantum Electronics(量子电子学报), 2009,26(4):451-455(in Chinese).