耦合至非线性振荡器的量子比特的耗散动力学
量子物理
2009-12-03 v2
摘要
我们考虑一个耦合至嵌入欧姆环境中的非线性振荡器(NO)的量子比特的耗散动力学。通过将非线性项处理至一阶，并应用范弗莱克微扰理论至量子比特-NO耦合的二阶，我们推导了超越旋转波近似的耦合量子比特-NO系统的本征态与本征函数的解析表达式。在弱耦合至热库的区域内，推导了量子比特布居数时间演化的解析表达式：它们描述了叠加在复杂弛豫部分上、趋向热平衡的多重阻尼振荡。长时间动力学由单一弛豫速率表征，当量子比特调谐至与非线性振荡器的某个共振时，该速率达到最大。
引用
@article{arxiv.0907.5535,
title = {Dissipative dynamics of a qubit coupled to a nonlinear oscillator},
author = {Carmen Vierheilig and Johannes Hausinger and Milena Grifoni},
journal= {arXiv preprint arXiv:0907.5535},
year = {2009}
}
备注
24 pages, 7 figures, 1 table; in the text between Eq. (8) and (9) there were misprints in the published version until 3rd Dec 2009: in the second order correction for the nonlinear oscillator and in the corresponding relative error. The correct expressions are given here. The results of the paper are not changed, as we consider the nonlinearity up to first order perturbation theory