Response Functions for Strongly Driven Systems

Mollow, B. R.

doi:10.1007/978-1-4684-2034-0_39

B. R. Mollow²

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Abstract

The coupling of an atom to the quantized electromagnetic field, in the electric dipole approximation, may be described in terms of the correlation or “response” function

$$\left\langle {\mu \left( t \right)\mu \left( {t'} \right)} \right\rangle $$

((1))

where μ is the atomic electric dipole moment operator.

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References

R.J. Glauber, Phys. Rev. 130, 2529 (1963); L. Mandel and E. Wolf, Rev. Mod. Phys. 37, 231 (1965).
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B. R. Mollow, Phys. Rev. A5, 2217 (1972).
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See M. Lax, Phys. Rev. 172, 350 (1968) and related references.
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The emission spectrum has been discussed for the case of strong collisional relaxation by M. Newstein, Phys. Rev. 167, 89 (1968), who finds results in agreement with ours in the limit of strong applied fields.
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C. R. Stroud, Jr., Phys. Rev. A3, 1044 (1971) has obtained spectra which roughly resemble the ones we have found in Ref. (2a) in the limit of strong applied fields, though differing even in that limit from our results in certain important respects.
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An interesting extension of the methods of Ref. 2 which allows for the possibility of “unimolecular decay” has been made by M. F. Goodman and E. Thiele, Phys. Rev. A5, 1355 (1972).
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For the case ν ≈ ω, slowly varying time-dependent components oscillating at the frequency 2(ν-ω) are present in the absorption spectrum in addition to the d. c. components found in Ref. 6, and in addition to the oscillating components in Eq. (22).
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The nonstationary processes will be treated in greater detail by the author in a subsequent publication.
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See for example N. Bloembergen, Nonlinear Optics, (W. A. Benjamin, Inc., N. Y., 1965 ).
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An excellent review of this subject is given by G. W. Series in Quantum Optics, Proceedings of the Tenth Session of the Scottish Universities Summer School in Physics, 1969, edited by S.M. Kay and A. Maitland ( Academic Press, London and New York, 1970 ).
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The University of Massachusetts, Boston, Mass., USA
B. R. Mollow

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B. R. Mollow
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Department of Physics and Astronomy, The University of Rochester, Rochester, New York, USA
Leonard Mandel & Emil Wolf &

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Mollow, B.R. (1973). Response Functions for Strongly Driven Systems. In: Mandel, L., Wolf, E. (eds) Coherence and Quantum Optics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-2034-0_39

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DOI: https://doi.org/10.1007/978-1-4684-2034-0_39
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-2036-4
Online ISBN: 978-1-4684-2034-0
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