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.
引用
收藏
页码：2808 / 2815
页数：8
相关论文
共 50 条
  • [1] The Quantum Fluctuations of Two Coupled Josephson Junctions with the Discreteness of Electric Charge
    De-Xin Miao
    Ju-Ju Hu
    Ying-Hua Ji
    Shu-Qin Liu
    [J]. International Journal of Theoretical Physics, 2007, 46 : 2808 - 2815
  • [2] Josephson junction in the quantum mesoscopic electric circuits with charge discreteness
    Pahlavani, H.
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2018, 32 (11):
  • [3] QUANTUM FLUCTUATIONS IN CHAINS OF JOSEPHSON-JUNCTIONS
    BRADLEY, RM
    DONIACH, S
    [J]. PHYSICAL REVIEW B, 1984, 30 (03): : 1138 - 1149
  • [4] Quantum and thermal fluctuations in bosonic Josephson junctions
    Julia-Diaz, B.
    Gottlieb, A. D.
    Martorell, J.
    Polls, A.
    [J]. PHYSICAL REVIEW A, 2013, 88 (03):
  • [5] QUANTUM FLUCTUATIONS AND QUANTUM DYNAMICS OF SMALL JOSEPHSON-JUNCTIONS
    PANYUKOV, SV
    ZAIKIN, AD
    [J]. JOURNAL OF LOW TEMPERATURE PHYSICS, 1988, 73 (1-2) : 1 - 32
  • [6] Quantum fluctuations in atomic Josephson junctions: the role of dimensionality
    Bardin, A.
    Lorenzi, F.
    Salasnich, L.
    [J]. NEW JOURNAL OF PHYSICS, 2024, 26 (01):
  • [7] EFFECT OF QUANTUM FLUCTUATIONS ON THE CHAOS IN JOSEPHSON-JUNCTIONS
    HIDA, K
    [J]. JAPANESE JOURNAL OF APPLIED PHYSICS PART 1-REGULAR PAPERS SHORT NOTES & REVIEW PAPERS, 1987, 26 : 1397 - 1398
  • [8] QUANTUM FLUCTUATIONS IN FINITE SIZE JOSEPHSON-JUNCTIONS
    ZAIKIN, AD
    HOROVITZ, B
    [J]. PHYSICS LETTERS A, 1992, 171 (5-6) : 403 - 407
  • [9] Quantum phase fluctuations in an array of mesoscopic Josephson junctions
    A. I. Belousov
    Yu. E. Lozovik
    [J]. Physics of the Solid State, 1997, 39 : 1345 - 1351
  • [10] CHARGE SOLITONS AND QUANTUM FLUCTUATIONS IN 2-DIMENSIONAL ARRAYS OF SMALL JOSEPHSON-JUNCTIONS
    DELSING, P
    CHEN, CD
    HAVILAND, DB
    HARADA, Y
    CLAESON, T
    [J]. PHYSICAL REVIEW B, 1994, 50 (06): : 3959 - 3971
12345