Differential atom interferometry beyond the standard quantum limit

Abstract

References (27)

Citing Articles

Download: PDF (268 kB) or Buy this Article (US$25) (Use Article Pack)

K. Eckert,¹ P. Hyllus,^1,2 D. Bruß,^1,3 U. V. Poulsen,^1,4,5 M. Lewenstein,^1,6 C. Jentsch,⁷ T. Müller,⁷ E. M. Rasel,⁷ and W. Ertmer⁷
¹Institut für Theoretische Physik, Universität Hannover, D-30167 Hannover, Germany
²The Blackett Lab – QOLS, Imperial College London, London SW7 2BW, United Kingdom
³Institut für Theoretische Physik III, Universität Düsseldorf, D-40225 Düsseldorf, Germany
⁴Dipartimento di Fisica, Università di Trento, I-38050 Povo (TN), Italy and ECT, I-38050 Villazzano (TN), Italy
⁵Department of Physics and Astronomy, University of Aarhus, DK-8000 Aarhus C., Denmark
⁶ICFO—Institut de Ciències Fotòniques, 08034 Barcelona, Spain
⁷Institut für Quantenoptik, Universität Hannover, D-30167 Hannover, Germany

Received 6 July 2005; published 18 January 2006

Weanalyze methods designed to go beyond the standard quantum limitfor a class of atomic interferometers, where the quantity ofinterest is the difference of phase shifts obtained by twoindependent atomic ensembles. An example is given by an atomicSagnac interferometer, where for two ensembles propagating in opposite directionsin the interferometer this phase difference encodes the angular velocityof the experimental setup. We discuss methods of separately orjointly squeezing observables of the two atomic ensembles, and comparein detail the advantages and drawbacks of such schemes. Inparticular, we show that the method of joint squeezing mayimprove the variance by up to a factor of 2.We take into account fluctuations of the number of atomsin both the preparation and the measurement stage, and obtainbounds on the difference between the numbers of atoms inthe two ensembles, as well as on the detection efficiency,which have to be fulfilled in order to surpass thestandard quantum limit. Under realistic conditions, the performance of bothschemes can be improved significantly by reading out the phasedifference via a quantum nondemolition measurement. Finally, we discuss ascheme using macroscopically entangled ensembles.

URL:	http://link.aps.org/doi/10.1103/PhysRevA.73.013814
DOI:	10.1103/PhysRevA.73.013814
PACS:	42.50.St; 42.50.Ct; 95.75.Kk; 42.81.Pa 42.50.St Nonclassical interferometry, subwavelength lithography 42.50.Ct Quantum description of interaction of light and matter; related experiments 95.75.Kk Astronomical interferometry 42.81.Pa Fiber optic sensors, fiber gyros YEAR: 2006
KEYWORDS:	atom optics, Sagnac interferometers, particle interferometry, optical squeezing, quantum entanglement, encoding, fluctuations

REFERENCES (27)

View in Separate Window/Tab

For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.

R. Bluhm, V. A. Kostelecky, C. D. Lane, and N. Russell, Phys. Rev. Lett. 88, 090801 (2002).
S. Fray, C. A. Diez, T. W. Hänsch, and M. Weitz, Phys. Rev. Lett. 93, 240404 (2004).
M. J. Snadden, J. M. McGuirk, P. Bouyer, K. G. Haritos, and M. A. Kasevich, Phys. Rev. Lett. 81, 971 (1998).
J. M. McGuirk, G. T. Foster, J. B. Fixler, M. J. Snadden, and M. A. Kasevich, Phys. Rev. A 65, 033608 (2002).
M. Kasevich and S. Chu, Phys. Rev. Lett. 67, 181 (1991).
B. Yurke, S. L. McCall, and J. R. Klauder, Phys. Rev. A 33, 4033 (1986).
A. Kuzmich, K. Mølmer, and E. S. Polzik, Phys. Rev. Lett. 79, 4782 (1997);

ibid. 83, 1319 (1999)

C. Mewes and M. Fleischhauer, Phys. Rev. A 66, 033820 (2002);
A. S. Sørensen and K. Mølmer, Phys. Rev. Lett. 86, 4431 (2001).
L. M. Duan, J. I. Cirac, P. Zoller, and E. S. Polzik, Phys. Rev. Lett. 85, 5643 (2000).
V. Petersen, L. B. Madsen, and K. Mølmer, Phys. Rev. A 71, 012312 (2005).
G. Santarelli, P. Laurent, P. Lemonde, A. Clairon, A. G. Mann, S. Chang, A. N. Luiten, and C. Salomon, Phys. Rev. Lett. 82, 4619 (1999).
A. Kuzmich and T. A. B. Kennedy, Phys. Rev. Lett. 92, 030407 (2004).
L. B. Madsen and K. Mølmer, Phys. Rev. A 70, 052324 (2005).
M. Auzinsh, D. Budker, D. F. Kimball, S. M. Rochester, J. E. Stalnaker, A. O. Sushkov, and V. V. Yashchuk, Phys. Rev. Lett. 93, 173002 (2004).
J. K. Stockton, J. M. Geremia, A. C. Doherty, and H. Mabuchi, Phys. Rev. A 67, 022112 (2003).
D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett. 81, 3108 (1998).