The quantum fluctuations of two coupled Josephson junctions with the discreteness off electric charge

被引：1
作者：
Miao, De-Xin
Hu, Ju-Ju [1 ]
Ji, Ying-Hua
Liu, Shu-Qin
机构：
[1] Jiangxi Normal Univ, Jiangxi 330022, Peoples R China
[2] Coll Modern Profess & Technol, Jiangxi 330012, Peoples R China
[3] Key Lab Optoelect & Telecommun Jiangxi, Nanchang 330022, Jiangxi, Peoples R China
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2007年 / 46卷 / 11期
关键词：
coupled Josephson junction qubits; discreteness of electron charge; quantization; Mathieu equation; quantum fluctuation;
D O I：
10.1007/s10773-007-9392-4
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The quantization of two Josephson junctions coupled via inductor with the discreteness of electric charges is proposed. The finite-difference Schrodinger equation of the circuit system has been obtained in charge representation, and the Schrodinger equation is turned to be Mathieu equation in flux representation. The wavefunction and energy spectrum can be solved by adopting the canonical transformation and unitary transformation method. The results indicate that the quantum fluctuations of the flux in the ground states of each mesh exist and are interrelated.
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收藏
页码：2808 / 2815
页数：8
相关论文
共 14 条
[1]   Entangled macroscopic quantum states in two superconducting qubits [J].
Berkley, AJ ;
Xu, H ;
Ramos, RC ;
Gubrud, MA ;
Strauch, FW ;
Johnson, PR ;
Anderson, JR ;
Dragt, AJ ;
Lobb, CJ ;
Wellstood, FC .
SCIENCE, 2003, 300 (5625) :1548-1550
[2]   Coherent dynamics of a flux qubit coupled to a harmonic oscillator [J].
Chiorescu, I ;
Bertet, P ;
Semba, K ;
Nakamura, Y ;
Harmans, CJPM ;
Mooij, JE .
NATURE, 2004, 431 (7005) :159-162
[3]   Coherent quantum dynamics of a superconducting flux qubit [J].
Chiorescu, I ;
Nakamura, Y ;
Harmans, CJPM ;
Mooij, JE .
SCIENCE, 2003, 299 (5614) :1869-1871
[4]  
FAN HY, 1997, REPRESENTATION TRANS, P422
[5]   Quantum superposition of distinct macroscopic states [J].
Friedman, JR ;
Patel, V ;
Chen, W ;
Tolpygo, SK ;
Lukens, JE .
NATURE, 2000, 406 (6791) :43-46
[6]   Quantum theory for mesoscopic electric circuits [J].
Li, YQ ;
Chen, B .
PHYSICAL REVIEW B, 1996, 53 (07) :4027-4032
[7]  
LOUISELL WH, 1983, QUANTUM STAT PROPERT, pCH4
[8]   Spectroscopy on two coupled superconducting flux qubits [J].
Majer, JB ;
Paauw, FG ;
ter Haar, ACJ ;
Harmans, CJPM ;
Mooij, JE .
PHYSICAL REVIEW LETTERS, 2005, 94 (09)
[9]   Quantum-state engineering with Josephson-junction devices [J].
Makhlin, Y ;
Schön, G ;
Shnirman, A .
REVIEWS OF MODERN PHYSICS, 2001, 73 (02) :357-400
[10]   Rabi oscillations in a large Josephson-junction qubit [J].
Martinis, JM ;
Nam, S ;
Aumentado, J ;
Urbina, C .
PHYSICAL REVIEW LETTERS, 2002, 89 (11) :1-117901
12