부산대학교 도서관

Summary: ``In this manuscript we present a pedagogical introduction tocontinuously monitored quantum systems. We start by giving a simplifiedderivation of the Markovian master equation in Lindblad form, in thespirit of collision models and input-output theory, which describes theunconditional dynamics of a continuously monitored system. The sameformalism is then exploited to derive stochastic master equations thatdescribe the conditional dynamics. We focus on the two mostparadigmatic examples of continuous monitoring: continuousphotodetection, leading to a discontinuous dynamics with `quantumjumps', and continuous homodyne measurements, leading to a diffusivedynamics. We then present a derivation of feedback master equationsthat describe the dynamics (either conditional or unconditional) whenthe continuous measurement photocurrents are fed back to the system asa linear driving Hamiltonian, a paradigm known as linear Markovianfeedback. In the second part of the manuscript we focus oncontinuous-variable Gaussian systems: we first present the equationsfor first and second moments describing the dynamics under continuousgeneral-dyne measurements, and we then discuss in more detail theconditional and unconditional dynamics under Markovian and state-basedfeedback.''