We report on an all-optical magnetometric technique based on nonlinear magneto-optical rotation with amplitude-modulated light. The method enables sensitive magnetic field measurements in a broad dynamic range. We demonstrate the sensitivity of 4.3×109GHz at 10mG and the magnetic field tracking in a range of 40mG. The fundamental limits of the method sensitivity and factors determining current performance of the magnetometer are discussed.

1.
M.
Faraday
,
Philos. Trans. R. Soc. London
136
,
1
(
1846
);
M.
Faraday
,
Philos. Mag.
28
,
294
(
1846
).
2.
D.
Macaluso
and
O. M.
Corbino
,
Nuovo Cimento
8
,
257
(
1898
);
D.
Macaluso
and
O. M.
Corbino
,
Nuovo Cimento
9
,
384
(
1898
).
3.
W.
Hanle
,
Z. Phys.
35
,
346
(
1924
).
4.
W.
Gawlik
,
J.
Kowalski
,
R.
Neumann
, and
F.
Träger
,
Opt. Commun.
12
,
400
(
1974
).
5.
D.
Budker
,
W.
Gawlik
,
D. F.
Kimball
,
S. M.
Rochester
,
V. V.
Yashchuk
, and
A.
Weis
,
Rev. Mod. Phys.
74
,
1153
(
2002
).
6.
W.
Bell
and
A.
Bloom
,
Phys. Rev. Lett.
6
,
280
(
1961
).
7.
A.
Corney
and
G. W.
Series
,
Proc. Phys. Soc. London
83
,
213
(
1964
).
8.
C.
Cohen-Tannoudji
,
J. D.
DuPont-Roc
,
S.
Haroche
, and
F.
Laloë
,
Rev. Phys. Appl.
5
,
102
(
1970
).
9.
D.
Budker
,
D. F.
Kimball
,
V. V.
Yashchuk
, and
M.
Zolotarev
,
Phys. Rev. A
65
,
055403
(
2002
).
10.
V.
Acosta
,
M. P.
Ledbetter
,
S. M.
Rochester
,
D.
Budker
,
D. F.
Jackson Kimball
,
D. C.
Hovde
,
W.
Gawlik
,
S.
Pustelny
,
J.
Zachorowski
, and
V. V.
Yashchuk
,
Phys. Rev. A
73
,
053404
(
2006
).
11.
W.
Gawlik
,
L.
Krzemień
,
S.
Pustelny
,
D.
Sangla
,
J.
Zachorowski
,
M.
Graf
,
A. O.
Sushkov
, and
D.
Budker
,
Appl. Phys. Lett.
88
,
131108
(
2006
).
12.
J. M.
Higbie
,
E.
Corsini
, and
D.
Budker
,
Rev. Sci. Instrum.
77
,
113106
(
2006
).
13.
M. V.
Balabas
,
D.
Budker
,
J.
Kitching
,
P. D. D.
Schwindt
, and
J. E.
Stalnaker
,
J. Opt. Soc. Am. B
23
,
1001
(
2006
).
14.
K. L.
Corwin
,
Z.-T.
Lu
,
C. F.
Hand
,
R. J.
Epstain
, and
C.
Wieman
,
Appl. Opt.
37
,
3295
(
1998
).
15.
G.
Wasik
,
W.
Gawlik
,
J.
Zachorowski
, and
W.
Zawadzki
,
Appl. Phys. B: Lasers Opt.
75
,
613
(
2002
).
16.

Note that in an experimental scheme in which phase-sensitive detection of the magneto-optical rotation is used, appearance of NMOR resonances is only possible if light is modulated. For low magnetic fields (ΩLγ) the modulation is not caused by the Faraday rotation but need to be introduced externally. Since in our experiment the same beam was used for pumping and probing, the light was amplitude modulated and, hence, the lock-in detection of the zero-field resonance was possible. On the contrary, in two-beam experiment, in which separated beams are used form pumping and probing atoms and probe-light intensity is unmodulated, the zero-field resonance is not observed.

17.
S. I.
Kanorsky
,
A.
Weis
, and
J.
Skalla
,
Appl. Phys. B: Lasers Opt.
60
,
S165
(
1995
).
18.
19.
E.
Pfleghaar
,
J.
Wurster
,
S. I.
Kanorsky
, and
A.
Weis
,
Opt. Commun.
99
,
303
(
1993
).
20.
A. V.
Taichenachev
,
A. M.
Tumaikin
,
V. I.
Yudin
,
M.
Stähler
,
R.
Wynands
,
J.
Kitching
, and
L.
Hollberg
,
Phys. Rev. A
69
,
024501
(
2004
).
21.
E.
Alipieva
,
S.
Gateva
,
E.
Taskova
, and
S.
Cartaleva
,
Opt. Lett.
28
,
1817
(
2003
).
22.
D.
Budker
,
D. F.
Kimball
,
S. M.
Rochester
, and
V. V.
Yashchuk
,
Phys. Rev. Lett.
85
,
2088
(
2000
).
23.
S.
Pustelny
,
D. F.
Jackson Kimball
,
S. M.
Rochester
,
V. V.
Yashchuk
, and
D.
Budker
,
Phys. Rev. A
74
,
063406
(
2006
).
24.
D.
Budker
,
L.
Hollberg
,
D. F.
Kimball
,
J.
Kitching
,
S.
Pustelny
, and
V. V.
Yashchuk
,
Phys. Rev. A
71
,
012903
(
2005
).
25.
26.
S.
Pustelny
,
W.
Lewoczko
, and
W.
Gawlik
,
J. Opt. Soc. Am. B
22
,
37
(
2005
).
27.
A. N.
Nesmyanov
,
Vapor Pressures of the Chemical Elements
(
Elsevier
,
New York
,
1963
).
28.
A. I.
Okunevich
, in
Optical Orientation of Atoms and Molecules
(
FTI
,
Leningrad
,
1987
), p.
65
.
29.
M. T.
Graf
,
D. F.
Kimball
,
S. M.
Rochester
,
K.
Kerner
,
C.
Wong
, and
D.
Budker
,
Phys. Rev. A
72
,
023401
(
2005
).
30.
A. B.
Matsko
,
I.
Novikova
,
M. O.
Scully
, and
G. R.
Welch
,
Phys. Rev. Lett.
87
,
133601
(
2001
).
31.
I. K.
Kominis
,
T. W.
Kornack
,
J. C.
Allred
, and
M. V.
Romalis
,
Nature (London)
422
,
596
(
2003
);
Note that for concentrations of atoms exceeding 1012atcm3 ratio γN starts to drop with rising N. This effect is related with limitation of the spin-exchange relaxation by frequent atomic collisions. In fact, the up-to-date most sensitive magnetometer, the so-called spin-exchange relaxation free (SERF) magnetometer, exploits this mechanism for achieving sensitivity of a fraction of 1011GHz in (fundamental sensitivity limit on the order of 1014HHz low-field measurements.
32.
M.
Auzinsh
,
D.
Budker
,
D. F.
Kimball
,
S. M.
Rochester
,
J. E.
Stalneker
,
A. O.
Sushkov
, and
V. V.
Yashchuk
,
Phys. Rev. Lett.
93
,
173002
(
2004
).
33.
S.
Pustelny
,
A.
Wojciechowski
,
M.
Kotyrba
,
K.
Sycz
,
J.
Zachorowski
,
W.
Gawlik
,
A.
Cingoz
,
N.
Leefer
,
J. M.
Higbie
,
E.
Corsini
,
A. O.
Sushkov
,
M. P.
Ledbetter
,
S. M.
Rochester
,
D. F.
Jackson Kimball
, and
D.
Budker
,
Proc. SPIE
6604
,
660404
(
2007
).
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