dorsal/arxiv
View SchemaRobust unravelings for resonance fluorescence
| Authors | H. M. Wiseman, Zoe Brady |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0002064 |
| URL | https://arxiv.org/abs/quant-ph/0002064 |
| DOI | 10.1103/PhysRevA.62.023805 |
Abstract
Monitoring the fluorescent radiation of an atom unravels the master equation evolution by collapsing the atomic state into a pure state which evolves stochastically. A robust unraveling is one that gives pure states that, on average, are relatively unaffected by the master equation evolution (which applies once the monitoring ceases). The ensemble of pure states arising from the maximally robust unraveling has been suggested to be the most natural way of representing the system [H.M. Wiseman and J.A. Vaccaro, Phys. Lett. A {\bf 250}, 241 (1998)]. We find that the maximally robust unraveling of a resonantly driven atom requires an adaptive interferometric measurement proposed by Wiseman and Toombes [Phys. Rev. A {\bf 60}, 2474 (1999)]. The resultant ensemble consists of just two pure states which, in the high driving limit, are close to the eigenstates of the driving Hamiltonian $\Omega\sigma_{x}/2$. This ensemble is the closest thing to a classical limit for a strongly driven atom. We also find that it is possible to reasonably approximate this ensemble using just homodyne detection, an example of a continuous Markovian unraveling. This has implications for other systems, for which it may be necessary in practice to consider only continuous Markovian unravelings.
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"abstract": "Monitoring the fluorescent radiation of an atom unravels the master equation\nevolution by collapsing the atomic state into a pure state which evolves\nstochastically. A robust unraveling is one that gives pure states that, on\naverage, are relatively unaffected by the master equation evolution (which\napplies once the monitoring ceases). The ensemble of pure states arising from\nthe maximally robust unraveling has been suggested to be the most natural way\nof representing the system [H.M. Wiseman and J.A. Vaccaro, Phys. Lett. A {\\bf\n250}, 241 (1998)]. We find that the maximally robust unraveling of a resonantly\ndriven atom requires an adaptive interferometric measurement proposed by\nWiseman and Toombes [Phys. Rev. A {\\bf 60}, 2474 (1999)]. The resultant\nensemble consists of just two pure states which, in the high driving limit, are\nclose to the eigenstates of the driving Hamiltonian $\\Omega\\sigma_{x}/2$. This\nensemble is the closest thing to a classical limit for a strongly driven atom.\nWe also find that it is possible to reasonably approximate this ensemble using\njust homodyne detection, an example of a continuous Markovian unraveling. This\nhas implications for other systems, for which it may be necessary in practice\nto consider only continuous Markovian unravelings.",
"arxiv_id": "quant-ph/0002064",
"authors": [
"H. M. Wiseman",
"Zoe Brady"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.62.023805",
"title": "Robust unravelings for resonance fluorescence",
"url": "https://arxiv.org/abs/quant-ph/0002064"
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