Anatomy of fluorescence: quantum trajectory statistics from continuously measuring spontaneous emission

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• 作者：Andrew N. Jordan ; Areeya Chantasri…
• 刊名：Quantum Studies: Mathematics and Foundations
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：3
• 期：3
• 页码：237-263
• 全文大小：1,539 KB
• 刊物类别：Mathematical Physics; Theoretical, Mathematical and Computational Physics; Quantum Physics; History
• 刊物主题：Mathematical Physics; Theoretical, Mathematical and Computational Physics; Quantum Physics; History and Philosophical Foundations of Physics;
• 出版者：Springer International Publishing
• ISSN：2196-5617
• 卷排序：3

文摘

We investigate the continuous quantum measurement of a superconducting qubit undergoing fluorescence. The fluorescence of the qubit is detected via a phase preserving heterodyne measurement, giving the fluorescence quadrature signals as two continuous qubit readout results. Using the stochastic path integral approach to the measurement physics, we derive most likely paths between boundary conditions on the state, and compute approximate time correlation functions between all stochastic variables via diagrammatic perturbation theory. We focus on paths that increase in energy during the continuous measurement. Our results are compared to Monte Carlo numerical simulation of the trajectories, and we find close agreement between direct simulation and theory. We generalize this analysis to arbitrary diffusive quantum systems that are continuously monitored.KeywordsQuantum trajectoriesQuantum measurementSpontaneous emissionHeterodyne measurementStochastic path integral