https://doi.org/10.1140/epjd/e2014-50505-8
Regular Article
Optimal estimation of a classical force with a damped oscillator in the non-Markovian bath
1 Department of Physics, Xinyang Normal
University, Xinyang, Henan
464000, P.R.
China
2 Hearne Institute for Theoretical
Physics and Department of Physics and Astronomy, Louisiana State University,
Baton Rouge,
70803
LA,
USA
a
e-mail: gaoyangchang@gmail.com
Received:
12
July
2014
Received in final form:
20
August
2014
Published online:
28
October
2014
We derive the optimal quantum limit of probing a classical force by a damped harmonic oscillator initially prepared in the factorized squeezed state. The memory effects of the thermal bath on the oscillator evolution are investigated. We show that the optimal force sensitivity obtained by the quantum estimation theory approaches to zero for the non-Markovian bath, whereas approaches to a finite non-zero value for the Markovian bath as the mean energy of the oscillator goes to infinity.
Key words: Quantum Optics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2014