Abstract:
We analyze the dissipative dynamics of a two-level quantum system subject to low-frequency, e.g. 1/f noise, motivated by recent experiments with superconducting quantum circuits. We show that the effect of transverse linear coupling of the system to low-frequency noise is equivalent to that of quadratic longitudinal coupling. We further find the decay law of quantum coherent oscillations under the influence of both low- and high-frequency fluctuations, in particular, for the case of comparable rates of relaxation and pure dephasing.
Enna Zhuo, Zhaozheng Lyu, Xiaopei Sun, Ang Li, Bing Li, Zhongqing Ji, Jie Fan, E.P.A.M. Bakkers, Xiaodong Han, Xiaohui Song, Fanming Qu, Guangtong Liu, Jie Shen, Li Lu, npj Quantum Inf, 9:1 (2023)
X. Jiang, J. Scott, Mark Friesen, M. Saffman, Phys. Rev. A, 107:4 (2023)
L. A. Martinez, Z. Peng, D. Appelö, D. M. Tennant, N. Anders Petersson, J. L DuBois, Y. J. Rosen, Applied Physics Letters, 122:11 (2023)
Ziwen Huang, Xinyuan You, Ugur Alyanak, Alexander Romanenko, Anna Grassellino, Shaojiang Zhu, Phys. Rev. Applied, 18:6 (2022)
Goetz J., Deppe F., Eder P., Fischer M., Mueting M., Martinez J.P., Pogorzalek S., Wulschner F., Xie E., Fedorov K.G., Marx A., Gross R., Quantum Sci. Technol., 2:2 (2017), UNSP 025002
C. M. Wilson, G. Johansson, T. Duty, F. Persson, M. Sandberg, P. Delsing, Phys. Rev. B, 81:2 (2010)
V. Bonzom, H. Bouzidi, P. Degiovanni, Eur. Phys. J. D, 47:1 (2008), 133
F. Deppe, M. Mariantoni, E. P. Menzel, S. Saito, K. Kakuyanagi, H. Tanaka, T. Meno, K. Semba, H. Takayanagi, R. Gross, Phys. Rev. B, 76:21 (2007)
G. Wendin, V. S. Shumeiko, Low Temperature Physics, 33:9 (2007), 724
JETP Letters, 83:2 (2006), 83–86
J. Q. You, J. S. Tsai, Franco Nori, Phys. Rev. B, 73:1 (2006)
G. Ithier, E. Collin, P. Joyez, P. J. Meeson, D. Vion, D. Esteve, F. Chiarello, A. Shnirman, Y. Makhlin, J. Schriefl, G. Schön, Phys. Rev. B, 72:13 (2005)
JETP Letters, 79:12 (2004), 646–649
Yuriy Makhlin, Gerd Schön, Alexander Shnirman, Chemical Physics, 296:2-3 (2004), 315