Abstract

We present a theoretical study of lineshape in polarization spectroscopy for the 6S1/2-6P3/2-7S1/2 transition line in cesium atoms. A circularly polarized pump beam is tuned either to the lower or the upper transition line, while a linearly polarized probe beam is tuned to the other transition line. The polarization rotation of the probe beam is accurately calculated using a semi-classical density-matrix formalism taking into account all relaxation processes.

© 2012 OSA

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    [CrossRef]
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  26. S. Shepherd, D. J. Fulton, and M. H. Dunn, “Wavelength dependence of coherently induced transparency in a Doppler-broadened cascade medium,” Phys. Rev. A54(6), 5394–5399 (1996).
    [CrossRef] [PubMed]
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    [CrossRef]
  28. P. M. Anisimov, J. P. Dowling, and B. C. Sanders, “Objectively discerning Autler-Townes splitting from electromagnetically induced transparency,” Phys. Rev. Lett.107(16), 163604 (2011).
    [CrossRef] [PubMed]

2012

P. Kulatunga, H. C. Busch, L. R. Andrews, and C. I. Sukenik, “Two-color polarization spectroscopy of rubidium,” Opt. Commun.285(12), 2851–2853 (2012).
[CrossRef]

H. R. Noh and H. S. Moon, “Transmittance signal in real ladder-type atoms,” Phys. Rev. A85(3), 033817 (2012).
[CrossRef]

M. Tanasittikosol, C. Carr, C. S. Adams, and K. J. Weatherill, “Sub-natural linewidths in two-photon excited-state spectroscopy,” Phys. Rev. A85(3), 033830 (2012).
[CrossRef]

C. Carr, C. S. Adams, and K. J. Weatherill, “Polarization spectroscopy of an excited state transition,” Opt. Lett.37(1), 118–120 (2012).
[CrossRef] [PubMed]

2011

H. R. Noh, S. E. Park, L. Z. Li, J. D. Park, and C. H. Cho, “Modulation transfer spectroscopy for 87Rb atoms: theory and experiment,” Opt. Express19(23), 23444 (2011).
[CrossRef] [PubMed]

A. M. Akulshin, B. V. Hall, V. Ivannikov, A. A. Orel, and A. I. Sidorov, “Doppler-free two-photon resonances for atom detection and sum frequency stabilization,” J. Phys. B44(21), 215401 (2011).
[CrossRef]

P. M. Anisimov, J. P. Dowling, and B. C. Sanders, “Objectively discerning Autler-Townes splitting from electromagnetically induced transparency,” Phys. Rev. Lett.107(16), 163604 (2011).
[CrossRef] [PubMed]

2010

C. Javaux, I. G. Hughes, G. Locheada, J. Millen, and M. P. A. Jones, “Modulation-free pump-probe spectroscopy of strontium atoms,” Eur. Phys. J. D57(2), 151–154 (2010).
[CrossRef]

2009

H. R. Noh and H. S. Moon, “Calculation of line shapes in double-resonance optical pumping,” Phys. Rev. A80(2), 022509 (2009).
[CrossRef]

2008

H. D. Do, G. Moon, and H. R. Noh, “Polarization spectroscopy of rubidium atoms: theory and experiment,” Phys. Rev. A77(3), 032513 (2008).
[CrossRef]

M. L. Harris, S. L. Cornish, A. Tripathi, and I. G. Hughes, “Optimization of sub-Doppler DAVLL on the rubidium D2 line,” J. Phys. B, 41(8), 085401 (2008).
[CrossRef]

D. J. McCarron, S. A. King, and S. L. Cornish, “Modulation transfer spectroscopy in atomic rubidium,” Meas. Sci. Technol.19(10), 105601 (2008).
[CrossRef]

2006

M. L. Harris, C. S. Adams, S. L. Cornish, I. C. McLeod, E. Tarleton, and I. G. Hughes, “Polarization spectroscopy in rubidium and cesium,” Phys. Rev. A73(6), 062509 (2006).
[CrossRef]

V. B. Tiwari, S. Singh, S. R. Mishra, H. S. Rawat, and S. C. Mehendale, “Laser frequency stabilization using Doppler-free bi-polarization spectroscopy,” Opt. Commun.263(2), 249–255 (2006).
[CrossRef]

2005

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “Electromagnetically induced transparency: optics in coherent media,” Rev. Mod. Phys.77(2), 633–673 (2005).
[CrossRef]

2004

2003

2002

C. P. Pearman, C. S. Adams, S. G. Cox, P. F. Griffin, D. A. Smith, and I. G. Hughes, “Polarization spectroscopy of a closed atomic transition: applications to laser frequency locking,” J. Phys. B35(24), 5141–5151 (2002).
[CrossRef]

V. M. Entin, I. I. Ryabtsev, A. E. Boguslavsky, and Yu. V. Brzhazovsky, “Laser spectroscopy of spontaneous coherence transfer and optically induced polarization rotation in 87Rb,” Opt. Commun.207(1–6), 201–208 (2002).
[CrossRef]

D. Budker, W. Gawlik, D. F. Kimball, S. M. Rochester, V. V. Yashchuk, and A. Weis, “Resonant nonlinear magneto-optical effects in atoms,” Rev. Mod. Phys.74(4), 1153–1201 (2002).
[CrossRef]

1999

G. P. T. Lancaster, R. S. Conroy, M. A. Clifford, J. Arlt, and K. Dholakia, “A polarisation spectrometer locked diode laser for trapping cold atoms,” Opt. Commun.170(1–3), 79–84 (1999).
[CrossRef]

1998

1996

S. Shepherd, D. J. Fulton, and M. H. Dunn, “Wavelength dependence of coherently induced transparency in a Doppler-broadened cascade medium,” Phys. Rev. A54(6), 5394–5399 (1996).
[CrossRef] [PubMed]

1984

C. E. Theodosiou, “Lifetimes of alkali-metal–atom Rydberg states,” Phys. Rev. A30(6), 2881–2909 (1984).
[CrossRef]

1976

C. Wieman and T. W. Hänsch, “Doppler-free laser polarization spectroscopy,” Phys. Rev. Lett.36(20), 1170–1173 (1976).
[CrossRef]

1955

S. H. Autler and C. H. Townes, “Stark effect in rapidly varying fields,” Phys. Rev.100(2), 703–722 (1955).
[CrossRef]

Adams, C. S.

M. Tanasittikosol, C. Carr, C. S. Adams, and K. J. Weatherill, “Sub-natural linewidths in two-photon excited-state spectroscopy,” Phys. Rev. A85(3), 033830 (2012).
[CrossRef]

C. Carr, C. S. Adams, and K. J. Weatherill, “Polarization spectroscopy of an excited state transition,” Opt. Lett.37(1), 118–120 (2012).
[CrossRef] [PubMed]

M. L. Harris, C. S. Adams, S. L. Cornish, I. C. McLeod, E. Tarleton, and I. G. Hughes, “Polarization spectroscopy in rubidium and cesium,” Phys. Rev. A73(6), 062509 (2006).
[CrossRef]

C. P. Pearman, C. S. Adams, S. G. Cox, P. F. Griffin, D. A. Smith, and I. G. Hughes, “Polarization spectroscopy of a closed atomic transition: applications to laser frequency locking,” J. Phys. B35(24), 5141–5151 (2002).
[CrossRef]

Akulshin, A. M.

A. M. Akulshin, B. V. Hall, V. Ivannikov, A. A. Orel, and A. I. Sidorov, “Doppler-free two-photon resonances for atom detection and sum frequency stabilization,” J. Phys. B44(21), 215401 (2011).
[CrossRef]

Andrews, L. R.

P. Kulatunga, H. C. Busch, L. R. Andrews, and C. I. Sukenik, “Two-color polarization spectroscopy of rubidium,” Opt. Commun.285(12), 2851–2853 (2012).
[CrossRef]

Anisimov, P. M.

P. M. Anisimov, J. P. Dowling, and B. C. Sanders, “Objectively discerning Autler-Townes splitting from electromagnetically induced transparency,” Phys. Rev. Lett.107(16), 163604 (2011).
[CrossRef] [PubMed]

Arlt, J.

G. P. T. Lancaster, R. S. Conroy, M. A. Clifford, J. Arlt, and K. Dholakia, “A polarisation spectrometer locked diode laser for trapping cold atoms,” Opt. Commun.170(1–3), 79–84 (1999).
[CrossRef]

Autler, S. H.

S. H. Autler and C. H. Townes, “Stark effect in rapidly varying fields,” Phys. Rev.100(2), 703–722 (1955).
[CrossRef]

Boguslavsky, A. E.

V. M. Entin, I. I. Ryabtsev, A. E. Boguslavsky, and Yu. V. Brzhazovsky, “Laser spectroscopy of spontaneous coherence transfer and optically induced polarization rotation in 87Rb,” Opt. Commun.207(1–6), 201–208 (2002).
[CrossRef]

Brzhazovsky, Yu. V.

V. M. Entin, I. I. Ryabtsev, A. E. Boguslavsky, and Yu. V. Brzhazovsky, “Laser spectroscopy of spontaneous coherence transfer and optically induced polarization rotation in 87Rb,” Opt. Commun.207(1–6), 201–208 (2002).
[CrossRef]

Budker, D.

D. Budker, W. Gawlik, D. F. Kimball, S. M. Rochester, V. V. Yashchuk, and A. Weis, “Resonant nonlinear magneto-optical effects in atoms,” Rev. Mod. Phys.74(4), 1153–1201 (2002).
[CrossRef]

Busch, H. C.

P. Kulatunga, H. C. Busch, L. R. Andrews, and C. I. Sukenik, “Two-color polarization spectroscopy of rubidium,” Opt. Commun.285(12), 2851–2853 (2012).
[CrossRef]

Carr, C.

M. Tanasittikosol, C. Carr, C. S. Adams, and K. J. Weatherill, “Sub-natural linewidths in two-photon excited-state spectroscopy,” Phys. Rev. A85(3), 033830 (2012).
[CrossRef]

C. Carr, C. S. Adams, and K. J. Weatherill, “Polarization spectroscopy of an excited state transition,” Opt. Lett.37(1), 118–120 (2012).
[CrossRef] [PubMed]

Cho, C. H.

Clifford, M. A.

G. P. T. Lancaster, R. S. Conroy, M. A. Clifford, J. Arlt, and K. Dholakia, “A polarisation spectrometer locked diode laser for trapping cold atoms,” Opt. Commun.170(1–3), 79–84 (1999).
[CrossRef]

Conroy, R. S.

G. P. T. Lancaster, R. S. Conroy, M. A. Clifford, J. Arlt, and K. Dholakia, “A polarisation spectrometer locked diode laser for trapping cold atoms,” Opt. Commun.170(1–3), 79–84 (1999).
[CrossRef]

Cornish, S. L.

D. J. McCarron, S. A. King, and S. L. Cornish, “Modulation transfer spectroscopy in atomic rubidium,” Meas. Sci. Technol.19(10), 105601 (2008).
[CrossRef]

M. L. Harris, S. L. Cornish, A. Tripathi, and I. G. Hughes, “Optimization of sub-Doppler DAVLL on the rubidium D2 line,” J. Phys. B, 41(8), 085401 (2008).
[CrossRef]

M. L. Harris, C. S. Adams, S. L. Cornish, I. C. McLeod, E. Tarleton, and I. G. Hughes, “Polarization spectroscopy in rubidium and cesium,” Phys. Rev. A73(6), 062509 (2006).
[CrossRef]

Corwin, K. L.

Cox, S. G.

C. P. Pearman, C. S. Adams, S. G. Cox, P. F. Griffin, D. A. Smith, and I. G. Hughes, “Polarization spectroscopy of a closed atomic transition: applications to laser frequency locking,” J. Phys. B35(24), 5141–5151 (2002).
[CrossRef]

Demtröder, W.

W. Demtröder, Laser Spectroscopy (Springer, 1998).

Dholakia, K.

G. P. T. Lancaster, R. S. Conroy, M. A. Clifford, J. Arlt, and K. Dholakia, “A polarisation spectrometer locked diode laser for trapping cold atoms,” Opt. Commun.170(1–3), 79–84 (1999).
[CrossRef]

Do, H. D.

H. D. Do, G. Moon, and H. R. Noh, “Polarization spectroscopy of rubidium atoms: theory and experiment,” Phys. Rev. A77(3), 032513 (2008).
[CrossRef]

Dowling, J. P.

P. M. Anisimov, J. P. Dowling, and B. C. Sanders, “Objectively discerning Autler-Townes splitting from electromagnetically induced transparency,” Phys. Rev. Lett.107(16), 163604 (2011).
[CrossRef] [PubMed]

Dunn, M. H.

S. Shepherd, D. J. Fulton, and M. H. Dunn, “Wavelength dependence of coherently induced transparency in a Doppler-broadened cascade medium,” Phys. Rev. A54(6), 5394–5399 (1996).
[CrossRef] [PubMed]

Entin, V. M.

V. M. Entin, I. I. Ryabtsev, A. E. Boguslavsky, and Yu. V. Brzhazovsky, “Laser spectroscopy of spontaneous coherence transfer and optically induced polarization rotation in 87Rb,” Opt. Commun.207(1–6), 201–208 (2002).
[CrossRef]

Epstein, R. J.

Fleischhauer, M.

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “Electromagnetically induced transparency: optics in coherent media,” Rev. Mod. Phys.77(2), 633–673 (2005).
[CrossRef]

Fulton, D. J.

S. Shepherd, D. J. Fulton, and M. H. Dunn, “Wavelength dependence of coherently induced transparency in a Doppler-broadened cascade medium,” Phys. Rev. A54(6), 5394–5399 (1996).
[CrossRef] [PubMed]

Gawlik, W.

D. Budker, W. Gawlik, D. F. Kimball, S. M. Rochester, V. V. Yashchuk, and A. Weis, “Resonant nonlinear magneto-optical effects in atoms,” Rev. Mod. Phys.74(4), 1153–1201 (2002).
[CrossRef]

Griffin, P. F.

C. P. Pearman, C. S. Adams, S. G. Cox, P. F. Griffin, D. A. Smith, and I. G. Hughes, “Polarization spectroscopy of a closed atomic transition: applications to laser frequency locking,” J. Phys. B35(24), 5141–5151 (2002).
[CrossRef]

Hall, B. V.

A. M. Akulshin, B. V. Hall, V. Ivannikov, A. A. Orel, and A. I. Sidorov, “Doppler-free two-photon resonances for atom detection and sum frequency stabilization,” J. Phys. B44(21), 215401 (2011).
[CrossRef]

Hand, C. F.

Hänsch, T. W.

C. Wieman and T. W. Hänsch, “Doppler-free laser polarization spectroscopy,” Phys. Rev. Lett.36(20), 1170–1173 (1976).
[CrossRef]

Harris, M. L.

M. L. Harris, S. L. Cornish, A. Tripathi, and I. G. Hughes, “Optimization of sub-Doppler DAVLL on the rubidium D2 line,” J. Phys. B, 41(8), 085401 (2008).
[CrossRef]

M. L. Harris, C. S. Adams, S. L. Cornish, I. C. McLeod, E. Tarleton, and I. G. Hughes, “Polarization spectroscopy in rubidium and cesium,” Phys. Rev. A73(6), 062509 (2006).
[CrossRef]

Harvey, M. D.

Heckenberg, N. R.

Hughes, I. G.

C. Javaux, I. G. Hughes, G. Locheada, J. Millen, and M. P. A. Jones, “Modulation-free pump-probe spectroscopy of strontium atoms,” Eur. Phys. J. D57(2), 151–154 (2010).
[CrossRef]

M. L. Harris, S. L. Cornish, A. Tripathi, and I. G. Hughes, “Optimization of sub-Doppler DAVLL on the rubidium D2 line,” J. Phys. B, 41(8), 085401 (2008).
[CrossRef]

M. L. Harris, C. S. Adams, S. L. Cornish, I. C. McLeod, E. Tarleton, and I. G. Hughes, “Polarization spectroscopy in rubidium and cesium,” Phys. Rev. A73(6), 062509 (2006).
[CrossRef]

C. P. Pearman, C. S. Adams, S. G. Cox, P. F. Griffin, D. A. Smith, and I. G. Hughes, “Polarization spectroscopy of a closed atomic transition: applications to laser frequency locking,” J. Phys. B35(24), 5141–5151 (2002).
[CrossRef]

Imamoglu, A.

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “Electromagnetically induced transparency: optics in coherent media,” Rev. Mod. Phys.77(2), 633–673 (2005).
[CrossRef]

Ivannikov, V.

A. M. Akulshin, B. V. Hall, V. Ivannikov, A. A. Orel, and A. I. Sidorov, “Doppler-free two-photon resonances for atom detection and sum frequency stabilization,” J. Phys. B44(21), 215401 (2011).
[CrossRef]

Javaux, C.

C. Javaux, I. G. Hughes, G. Locheada, J. Millen, and M. P. A. Jones, “Modulation-free pump-probe spectroscopy of strontium atoms,” Eur. Phys. J. D57(2), 151–154 (2010).
[CrossRef]

Jones, M. P. A.

C. Javaux, I. G. Hughes, G. Locheada, J. Millen, and M. P. A. Jones, “Modulation-free pump-probe spectroscopy of strontium atoms,” Eur. Phys. J. D57(2), 151–154 (2010).
[CrossRef]

Kimball, D. F.

D. Budker, W. Gawlik, D. F. Kimball, S. M. Rochester, V. V. Yashchuk, and A. Weis, “Resonant nonlinear magneto-optical effects in atoms,” Rev. Mod. Phys.74(4), 1153–1201 (2002).
[CrossRef]

King, S. A.

D. J. McCarron, S. A. King, and S. L. Cornish, “Modulation transfer spectroscopy in atomic rubidium,” Meas. Sci. Technol.19(10), 105601 (2008).
[CrossRef]

Kuga, T.

Kulatunga, P.

P. Kulatunga, H. C. Busch, L. R. Andrews, and C. I. Sukenik, “Two-color polarization spectroscopy of rubidium,” Opt. Commun.285(12), 2851–2853 (2012).
[CrossRef]

Lancaster, G. P. T.

G. P. T. Lancaster, R. S. Conroy, M. A. Clifford, J. Arlt, and K. Dholakia, “A polarisation spectrometer locked diode laser for trapping cold atoms,” Opt. Commun.170(1–3), 79–84 (1999).
[CrossRef]

Li, L. Z.

Locheada, G.

C. Javaux, I. G. Hughes, G. Locheada, J. Millen, and M. P. A. Jones, “Modulation-free pump-probe spectroscopy of strontium atoms,” Eur. Phys. J. D57(2), 151–154 (2010).
[CrossRef]

Lu, Z.

Marangos, J. P.

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “Electromagnetically induced transparency: optics in coherent media,” Rev. Mod. Phys.77(2), 633–673 (2005).
[CrossRef]

McCarron, D. J.

D. J. McCarron, S. A. King, and S. L. Cornish, “Modulation transfer spectroscopy in atomic rubidium,” Meas. Sci. Technol.19(10), 105601 (2008).
[CrossRef]

McLeod, I. C.

M. L. Harris, C. S. Adams, S. L. Cornish, I. C. McLeod, E. Tarleton, and I. G. Hughes, “Polarization spectroscopy in rubidium and cesium,” Phys. Rev. A73(6), 062509 (2006).
[CrossRef]

Mehendale, S. C.

V. B. Tiwari, S. Singh, S. R. Mishra, H. S. Rawat, and S. C. Mehendale, “Laser frequency stabilization using Doppler-free bi-polarization spectroscopy,” Opt. Commun.263(2), 249–255 (2006).
[CrossRef]

Millen, J.

C. Javaux, I. G. Hughes, G. Locheada, J. Millen, and M. P. A. Jones, “Modulation-free pump-probe spectroscopy of strontium atoms,” Eur. Phys. J. D57(2), 151–154 (2010).
[CrossRef]

Mishra, S. R.

V. B. Tiwari, S. Singh, S. R. Mishra, H. S. Rawat, and S. C. Mehendale, “Laser frequency stabilization using Doppler-free bi-polarization spectroscopy,” Opt. Commun.263(2), 249–255 (2006).
[CrossRef]

Moon, G.

H. D. Do, G. Moon, and H. R. Noh, “Polarization spectroscopy of rubidium atoms: theory and experiment,” Phys. Rev. A77(3), 032513 (2008).
[CrossRef]

Moon, H. S.

H. R. Noh and H. S. Moon, “Transmittance signal in real ladder-type atoms,” Phys. Rev. A85(3), 033817 (2012).
[CrossRef]

H. R. Noh and H. S. Moon, “Calculation of line shapes in double-resonance optical pumping,” Phys. Rev. A80(2), 022509 (2009).
[CrossRef]

Mukae, T.

Noh, H. R.

H. R. Noh and H. S. Moon, “Transmittance signal in real ladder-type atoms,” Phys. Rev. A85(3), 033817 (2012).
[CrossRef]

H. R. Noh, S. E. Park, L. Z. Li, J. D. Park, and C. H. Cho, “Modulation transfer spectroscopy for 87Rb atoms: theory and experiment,” Opt. Express19(23), 23444 (2011).
[CrossRef] [PubMed]

H. R. Noh and H. S. Moon, “Calculation of line shapes in double-resonance optical pumping,” Phys. Rev. A80(2), 022509 (2009).
[CrossRef]

H. D. Do, G. Moon, and H. R. Noh, “Polarization spectroscopy of rubidium atoms: theory and experiment,” Phys. Rev. A77(3), 032513 (2008).
[CrossRef]

Orel, A. A.

A. M. Akulshin, B. V. Hall, V. Ivannikov, A. A. Orel, and A. I. Sidorov, “Doppler-free two-photon resonances for atom detection and sum frequency stabilization,” J. Phys. B44(21), 215401 (2011).
[CrossRef]

Park, J. D.

Park, S. E.

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[CrossRef]

Ratnapala, A.

Rawat, H. S.

V. B. Tiwari, S. Singh, S. R. Mishra, H. S. Rawat, and S. C. Mehendale, “Laser frequency stabilization using Doppler-free bi-polarization spectroscopy,” Opt. Commun.263(2), 249–255 (2006).
[CrossRef]

Rochester, S. M.

D. Budker, W. Gawlik, D. F. Kimball, S. M. Rochester, V. V. Yashchuk, and A. Weis, “Resonant nonlinear magneto-optical effects in atoms,” Rev. Mod. Phys.74(4), 1153–1201 (2002).
[CrossRef]

Rubinsztein-Dunlop, H.

Ryabtsev, I. I.

V. M. Entin, I. I. Ryabtsev, A. E. Boguslavsky, and Yu. V. Brzhazovsky, “Laser spectroscopy of spontaneous coherence transfer and optically induced polarization rotation in 87Rb,” Opt. Commun.207(1–6), 201–208 (2002).
[CrossRef]

Sanders, B. C.

P. M. Anisimov, J. P. Dowling, and B. C. Sanders, “Objectively discerning Autler-Townes splitting from electromagnetically induced transparency,” Phys. Rev. Lett.107(16), 163604 (2011).
[CrossRef] [PubMed]

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S. Shepherd, D. J. Fulton, and M. H. Dunn, “Wavelength dependence of coherently induced transparency in a Doppler-broadened cascade medium,” Phys. Rev. A54(6), 5394–5399 (1996).
[CrossRef] [PubMed]

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A. M. Akulshin, B. V. Hall, V. Ivannikov, A. A. Orel, and A. I. Sidorov, “Doppler-free two-photon resonances for atom detection and sum frequency stabilization,” J. Phys. B44(21), 215401 (2011).
[CrossRef]

Singh, S.

V. B. Tiwari, S. Singh, S. R. Mishra, H. S. Rawat, and S. C. Mehendale, “Laser frequency stabilization using Doppler-free bi-polarization spectroscopy,” Opt. Commun.263(2), 249–255 (2006).
[CrossRef]

Smith, D. A.

C. P. Pearman, C. S. Adams, S. G. Cox, P. F. Griffin, D. A. Smith, and I. G. Hughes, “Polarization spectroscopy of a closed atomic transition: applications to laser frequency locking,” J. Phys. B35(24), 5141–5151 (2002).
[CrossRef]

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P. Kulatunga, H. C. Busch, L. R. Andrews, and C. I. Sukenik, “Two-color polarization spectroscopy of rubidium,” Opt. Commun.285(12), 2851–2853 (2012).
[CrossRef]

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M. Tanasittikosol, C. Carr, C. S. Adams, and K. J. Weatherill, “Sub-natural linewidths in two-photon excited-state spectroscopy,” Phys. Rev. A85(3), 033830 (2012).
[CrossRef]

Tarleton, E.

M. L. Harris, C. S. Adams, S. L. Cornish, I. C. McLeod, E. Tarleton, and I. G. Hughes, “Polarization spectroscopy in rubidium and cesium,” Phys. Rev. A73(6), 062509 (2006).
[CrossRef]

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V. B. Tiwari, S. Singh, S. R. Mishra, H. S. Rawat, and S. C. Mehendale, “Laser frequency stabilization using Doppler-free bi-polarization spectroscopy,” Opt. Commun.263(2), 249–255 (2006).
[CrossRef]

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[CrossRef]

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M. L. Harris, S. L. Cornish, A. Tripathi, and I. G. Hughes, “Optimization of sub-Doppler DAVLL on the rubidium D2 line,” J. Phys. B, 41(8), 085401 (2008).
[CrossRef]

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[CrossRef] [PubMed]

M. Tanasittikosol, C. Carr, C. S. Adams, and K. J. Weatherill, “Sub-natural linewidths in two-photon excited-state spectroscopy,” Phys. Rev. A85(3), 033830 (2012).
[CrossRef]

Weis, A.

D. Budker, W. Gawlik, D. F. Kimball, S. M. Rochester, V. V. Yashchuk, and A. Weis, “Resonant nonlinear magneto-optical effects in atoms,” Rev. Mod. Phys.74(4), 1153–1201 (2002).
[CrossRef]

White, A. G.

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C. Wieman and T. W. Hänsch, “Doppler-free laser polarization spectroscopy,” Phys. Rev. Lett.36(20), 1170–1173 (1976).
[CrossRef]

Wieman, C. E.

Yashchuk, V. V.

D. Budker, W. Gawlik, D. F. Kimball, S. M. Rochester, V. V. Yashchuk, and A. Weis, “Resonant nonlinear magneto-optical effects in atoms,” Rev. Mod. Phys.74(4), 1153–1201 (2002).
[CrossRef]

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Appl. Opt.

Eur. Phys. J. D

C. Javaux, I. G. Hughes, G. Locheada, J. Millen, and M. P. A. Jones, “Modulation-free pump-probe spectroscopy of strontium atoms,” Eur. Phys. J. D57(2), 151–154 (2010).
[CrossRef]

J. Phys. B

C. P. Pearman, C. S. Adams, S. G. Cox, P. F. Griffin, D. A. Smith, and I. G. Hughes, “Polarization spectroscopy of a closed atomic transition: applications to laser frequency locking,” J. Phys. B35(24), 5141–5151 (2002).
[CrossRef]

M. L. Harris, S. L. Cornish, A. Tripathi, and I. G. Hughes, “Optimization of sub-Doppler DAVLL on the rubidium D2 line,” J. Phys. B, 41(8), 085401 (2008).
[CrossRef]

A. M. Akulshin, B. V. Hall, V. Ivannikov, A. A. Orel, and A. I. Sidorov, “Doppler-free two-photon resonances for atom detection and sum frequency stabilization,” J. Phys. B44(21), 215401 (2011).
[CrossRef]

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D. J. McCarron, S. A. King, and S. L. Cornish, “Modulation transfer spectroscopy in atomic rubidium,” Meas. Sci. Technol.19(10), 105601 (2008).
[CrossRef]

Opt. Commun.

V. M. Entin, I. I. Ryabtsev, A. E. Boguslavsky, and Yu. V. Brzhazovsky, “Laser spectroscopy of spontaneous coherence transfer and optically induced polarization rotation in 87Rb,” Opt. Commun.207(1–6), 201–208 (2002).
[CrossRef]

P. Kulatunga, H. C. Busch, L. R. Andrews, and C. I. Sukenik, “Two-color polarization spectroscopy of rubidium,” Opt. Commun.285(12), 2851–2853 (2012).
[CrossRef]

V. B. Tiwari, S. Singh, S. R. Mishra, H. S. Rawat, and S. C. Mehendale, “Laser frequency stabilization using Doppler-free bi-polarization spectroscopy,” Opt. Commun.263(2), 249–255 (2006).
[CrossRef]

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[CrossRef]

Phys. Rev. A

H. D. Do, G. Moon, and H. R. Noh, “Polarization spectroscopy of rubidium atoms: theory and experiment,” Phys. Rev. A77(3), 032513 (2008).
[CrossRef]

C. E. Theodosiou, “Lifetimes of alkali-metal–atom Rydberg states,” Phys. Rev. A30(6), 2881–2909 (1984).
[CrossRef]

S. Shepherd, D. J. Fulton, and M. H. Dunn, “Wavelength dependence of coherently induced transparency in a Doppler-broadened cascade medium,” Phys. Rev. A54(6), 5394–5399 (1996).
[CrossRef] [PubMed]

H. R. Noh and H. S. Moon, “Transmittance signal in real ladder-type atoms,” Phys. Rev. A85(3), 033817 (2012).
[CrossRef]

H. R. Noh and H. S. Moon, “Calculation of line shapes in double-resonance optical pumping,” Phys. Rev. A80(2), 022509 (2009).
[CrossRef]

M. Tanasittikosol, C. Carr, C. S. Adams, and K. J. Weatherill, “Sub-natural linewidths in two-photon excited-state spectroscopy,” Phys. Rev. A85(3), 033830 (2012).
[CrossRef]

M. L. Harris, C. S. Adams, S. L. Cornish, I. C. McLeod, E. Tarleton, and I. G. Hughes, “Polarization spectroscopy in rubidium and cesium,” Phys. Rev. A73(6), 062509 (2006).
[CrossRef]

Phys. Rev. Lett.

C. Wieman and T. W. Hänsch, “Doppler-free laser polarization spectroscopy,” Phys. Rev. Lett.36(20), 1170–1173 (1976).
[CrossRef]

P. M. Anisimov, J. P. Dowling, and B. C. Sanders, “Objectively discerning Autler-Townes splitting from electromagnetically induced transparency,” Phys. Rev. Lett.107(16), 163604 (2011).
[CrossRef] [PubMed]

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M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “Electromagnetically induced transparency: optics in coherent media,” Rev. Mod. Phys.77(2), 633–673 (2005).
[CrossRef]

D. Budker, W. Gawlik, D. F. Kimball, S. M. Rochester, V. V. Yashchuk, and A. Weis, “Resonant nonlinear magneto-optical effects in atoms,” Rev. Mod. Phys.74(4), 1153–1201 (2002).
[CrossRef]

Other

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D. A. Steck, “Cesium D line data,” available online at http://steck.us/alkalidata .

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Figures (4)

Fig. 1
Fig. 1

(a) Two schematic diagrams and (b) an energy level diagram for the PS of the transition 6S1/2-6P3/2-7S1/2 for cesium.

Fig. 2
Fig. 2

(a) Calculated rotation angles and (b) absorption coefficients of Scheme A for two different coupling beam intensities.

Fig. 3
Fig. 3

The calculated rotation angles of (a) Scheme A and (b) Scheme B for various values of the coupling beam intensities. The traces are displaced for clear view.

Fig. 4
Fig. 4

(i) The calculated rotation angles, (ii) absorption coefficients, (iii) velocity-detuning map for δ1 scanning, and (iv) δ2 scanning for (a) Scheme A and (b) Scheme B.

Equations (10)

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E 1 = E 10 ɛ ^ + e i ω 1 t , E 2 = E 20 [ a + ɛ ^ + + a ɛ ^ ] e i ω 2 t ,
χ ± = N at 3 λ 2 3 4 π 2 Γ 2 a ± Ω 2 m = 5 5 R 2 F = 5 , m F = 4 , m ± 1 σ F = 5 , m F = 4 ± 1 ,
η 0 ( v , t ) = N at 3 λ 2 2 8 π Γ 2 Ω 2 L m = 5 5 Re ( 1 a + R 2 F = 5 , m F = 4 , m + 1 σ F = 5 , m F = 4 , m + 1 1 a R 2 F = 5 , m F = 4 , m 1 σ F = 5 , m F = 4 , m 1 )
η = 1 t av 0 t av d t 0 d v 1 π 1 / 2 u e ( v / u ) 2 η 0 ( v , t ) ,
α 0 ( v , t ) = N at 3 λ 2 2 2 π Γ 2 Ω 2 q = ± 1 m = 5 5 Im ( a q * R 2 F = 5 , m F = 4 , m + q σ F = 5 , m F = 4 , m + q ) ,
Δ 2 + 1 2 ( Δ 1 ± Ω 1 2 + Δ 1 2 ) = 0 ,
v = ± | k 1 2 k 2 | Ω 1 2 k 1 k 2 ( k 1 k 2 ) , δ 2 = ± k 1 2 + s ( k 1 2 k 2 ) 2 4 k 1 k 2 ( k 1 k 2 ) ,
δ 2 ± Ω 1 2 .
v = ± Ω 1 2 k 2 ( k 1 k 2 ) , δ 1 = ± k 2 ( k 1 k 2 ) k 2 Ω 1 = ± 0.85 Ω 1 ,
Δ 1 + 1 2 ( Δ 2 ± κ 2 Ω 2 2 + Δ 2 2 ) = 0 ,

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