dorsal/arxiv
View SchemaFeedback-stabilization of an arbitrary pure state of a two-level atom
| Authors | Jin Wang, H. M. Wiseman |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0008003 |
| URL | https://arxiv.org/abs/quant-ph/0008003 |
| DOI | 10.1103/PhysRevA.64.063810 |
Abstract
Unit-efficiency homodyne detection of the resonance fluorescence of a two-level atom collapses the quantum state of the atom to a stochastically moving point on the Bloch sphere. Recently,Hofmann, Mahler, and Hess [Phys. Rev. A {\bf 57}, 4877 (1998)] showed that by making part of the coherent driving proportional to the homodyne photocurrent can stabilize the state to any point on the bottom half of the sphere. Here we reanalyze their proposal using the technique of stochastic master equations, allowing their results to be generalized in two ways. First, we show that any point on the upper or lower half, but not the equator, of the sphere may be stabilized. Second, we consider non-unit-efficiency detection, and quantify the effectiveness of the feedback by calculating the maximal purity obtainable in any particular direction in Bloch space.
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"abstract": "Unit-efficiency homodyne detection of the resonance fluorescence of a\ntwo-level atom collapses the quantum state of the atom to a stochastically\nmoving point on the Bloch sphere. Recently,Hofmann, Mahler, and Hess [Phys.\nRev. A {\\bf 57}, 4877 (1998)] showed that by making part of the coherent\ndriving proportional to the homodyne photocurrent can stabilize the state to\nany point on the bottom half of the sphere. Here we reanalyze their proposal\nusing the technique of stochastic master equations, allowing their results to\nbe generalized in two ways. First, we show that any point on the upper or lower\nhalf, but not the equator, of the sphere may be stabilized. Second, we consider\nnon-unit-efficiency detection, and quantify the effectiveness of the feedback\nby calculating the maximal purity obtainable in any particular direction in\nBloch space.",
"arxiv_id": "quant-ph/0008003",
"authors": [
"Jin Wang",
"H. M. Wiseman"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.64.063810",
"title": "Feedback-stabilization of an arbitrary pure state of a two-level atom",
"url": "https://arxiv.org/abs/quant-ph/0008003"
},
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