Abstract
The phenomenon of telegraphing in a measurement-driven two-level atom was noted in Cresser et al. [Cresser, J.D.; Barnett, S.M.; Jeffers, J.; Pegg, D.T. Opt. Commun. 2006, 264, 352361]. Here we introduce two quantitative measures of telegraphing: one based on the accumulated measurement record and one on the evolution of the quantum state. We use these to analyse the dynamics of the atom over a wide range of parameters. We find, in particular, that the measures provide broadly similar statistics when the measurements are frequent, but differ widely when measurements are sparse. This is in line with intuition, and demonstrates the utility of both measures.
| Language | English |
|---|---|
| Pages | 1803-1815 |
| Number of pages | 13 |
| Journal | Journal of Modern Optics |
| Volume | 59 |
| Issue number | 21 |
| Early online date | 22 Nov 2012 |
| DOIs | |
| Publication status | Published - 2012 |
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Keywords
- master equations
- Lindblad form
- Markov processes
- telegraphing
- Rabi cycle
- two-state atoms
- imperfect measurements
Cite this
}
Measurement-driven dynamics for a coherently-excited atom. / Colin, Andrew J. T.; Barnett, Stephen M.; Jeffers, John.
In: Journal of Modern Optics, Vol. 59, No. 21, 2012, p. 1803-1815.Research output: Contribution to journal › Article
TY - JOUR
T1 - Measurement-driven dynamics for a coherently-excited atom
AU - Colin, Andrew J. T.
AU - Barnett, Stephen M.
AU - Jeffers, John
PY - 2012
Y1 - 2012
N2 - The phenomenon of telegraphing in a measurement-driven two-level atom was noted in Cresser et al. [Cresser, J.D.; Barnett, S.M.; Jeffers, J.; Pegg, D.T. Opt. Commun. 2006, 264, 352361]. Here we introduce two quantitative measures of telegraphing: one based on the accumulated measurement record and one on the evolution of the quantum state. We use these to analyse the dynamics of the atom over a wide range of parameters. We find, in particular, that the measures provide broadly similar statistics when the measurements are frequent, but differ widely when measurements are sparse. This is in line with intuition, and demonstrates the utility of both measures.
AB - The phenomenon of telegraphing in a measurement-driven two-level atom was noted in Cresser et al. [Cresser, J.D.; Barnett, S.M.; Jeffers, J.; Pegg, D.T. Opt. Commun. 2006, 264, 352361]. Here we introduce two quantitative measures of telegraphing: one based on the accumulated measurement record and one on the evolution of the quantum state. We use these to analyse the dynamics of the atom over a wide range of parameters. We find, in particular, that the measures provide broadly similar statistics when the measurements are frequent, but differ widely when measurements are sparse. This is in line with intuition, and demonstrates the utility of both measures.
KW - master equations
KW - Lindblad form
KW - Markov processes
KW - telegraphing
KW - Rabi cycle
KW - two-state atoms
KW - imperfect measurements
UR - http://www.scopus.com/inward/record.url?scp=84871790783&partnerID=8YFLogxK
U2 - 10.1080/09500340.2012.744479
DO - 10.1080/09500340.2012.744479
M3 - Article
VL - 59
SP - 1803
EP - 1815
JO - Journal of Modern Optics
T2 - Journal of Modern Optics
JF - Journal of Modern Optics
SN - 0950-0340
IS - 21
ER -