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Chin. Phys. B, 2020, Vol. 29(9): 090303    DOI: 10.1088/1674-1056/aba5fb
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Quantum noise of a harmonic oscillator under classical feedback control

Feng Tang(汤丰), Nan Zhao(赵楠)
Beijing Computational Science Research Center, Beijing 100193, China
Abstract  Quantum sensing has been receiving researcher's attention these years due to its ultrahigh sensitivity and precision. However, the bandwidth of the sensors may be low, thus limiting the scope of their practical applications. The low-bandwidth problem is conquered by feedback control methods, which are widely utilized in classic control fields. Based on a quantum harmonic oscillator model operating near the resonant point, the bandwidth and sensitivity of the quantum sensor are analyzed. The results give two important conclusions: (a) the bandwidth and sensitivity are two incompatible performance parameters of the sensor, so there must be a trade-off between bandwidth and sensitivity in practical applications; (b) the quantum white noise affects the signal to be detected in a non-white form due to the feedback control.
Keywords:  quantum sensing      feedback      sensitivity      bandwidth  
Received:  06 April 2020      Revised:  25 June 2020      Accepted manuscript online:  15 July 2020
PACS:  03.67.-a (Quantum information)  
  87.19.lr (Control theory and feedback)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11534002, U1930402, and U1930403).
Corresponding Authors:  Nan Zhao     E-mail:  nzhao@csrc.ac.cn

Cite this article: 

Feng Tang(汤丰), Nan Zhao(赵楠) Quantum noise of a harmonic oscillator under classical feedback control 2020 Chin. Phys. B 29 090303

[1] Allred J C, Lyman R N, Kornack T W and Romalis M V 2002 Phys. Rev. Lett. 89 130801
[2] Kominis I, Kornac T, Allred J and Romalis M V 2003 Nature 422 596
[3] Savukov I M, Seltzer S J, Romalis M V and Sauer K L 2005 Phys. Rev. Lett. 95 063004
[4] Budker D and Kimball D F J 2013 Optical Magnetometry (Cambridge: Cambridge University Press)
[5] Maiwald R, Leibfried D, Britton J, Bergquist J C, Leuchs G and Wineland D J 2009 Nat. Phys. 5 551
[6] Biercuk M J, Uys H, Britton J W, VanDevender A P and Bollinger J J 2010 Nat. Nanotechnol. 5 646
[7] Brownnutt M, Kumph M, Rabl P and Blatt R 2015 Rev. Mod. Phys. 87 1419
[8] Balasubramanian G, Chan I Y, Kolesov R et al. 2008 Nature 455 648
[9] Taylor J, Cappellaro P, Childress L, Jiang L, Budker D, Hemmer P, Yacoby A, Walsworth R and Lukin M 2008 Nat. Phys. 4 810
[10] Ledbetter M P, Jensen K, Fischer R, Jarmola A and Budker D 2012 Phys. Rev. A 86 052116
[11] Wolf T, Neumann P, Nakamura K, Sumiya H, Ohshima T, Isoya J and Wrachtrup J 2015 Phys. Rev. X 5 041001
[12] Giovannetti V, Lloyd S and Maccone L 2004 Science 306 1330
[13] Leibfried D, Barrett M D, Schaetz T, Britton J, Chiaverini J, Itano W M, Jost J D, Langer C and Wineland D J 2004 Science 304 1476
[14] Bollinger J J, Itano W M, Wineland D J and Heinzen D J 1996 Phys. Rev. A 54 R4649
[15] Caves C M 1981 Phys. Rev. D 23 1693
[16] Schnabel R, Mavalvala N, McClelland D E and Lam P K 2010 Nat. Commun. 1 121
[17] Abadie J, Abbott B, Abbott R, Abbott T, Abernathy M, Adams C, Adhikari R, Akeldt C, Allen B, Allen G et al. 2011 Nat. Phys. 7 962
[18] Degen C L, Reinhard F and Cappellaro P 2017 Rev. Mod. Phys. 89 035002
[19] Scully M O and Zubairy M S 1997 Quantum Optics (Cambridge: Cambridge University Press)
[20] Ogata K 2009 Modern Control Engineering (Upper Saddle River NJ: Prentice Hall)
[21] Davenport W B, Root W L et al. 1958 An introduction to the Theory of Random Signals and Noise (New York: McGraw-Hill) Vol. 159
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