Abstract
Coherent control method steers a quantum system to a desirable final quantum state among a number of final states otherwise possible in a given light-matter interaction, by using a specially shaped light form programmed in its spectral and/or temporal domain. In this chapter, we briefly review a number of light-form shaping methods previously considered for coherent control of ultra-fast laser interaction with atoms, and provide their application examples along with their experimental demonstrations.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
We notice that Fourier domain and frequency domain have the same physical meaning in this chapter.
- 2.
(field) means that the description is about electric field. Readers should care whether (field) or (intensity) arise at the end of a description.
- 3.
Four-photon sequential path is \(3\text {S}{-}4\text {S}-7\text {P}\) \(2+1\)Â photon process in addition to \(7\text {P}{-}4\text {S}\) one-photon de-excitation. In this experiment, several order of magnitude is smaller than two-photon direct path.
- 4.
The linear spectral chirp \(\varPhi ''\) in (4.3) and \(a_2\) here is identical parameter.
- 5.
For more detailed description, we would recommend readers to read [13].
- 6.
Three ultra-fast pulses are incident on the target, with separately controllable pico-second scale time delays \(\tau _1\) and \(\tau _2\) between each consecutive pulse. The excited states induced by each pulse are interfered and the final fluorescence signal \(I(\tau _1, \tau _2)\) is recorded. Two-dimensional Fourier transform of \(I(\tau _1, \tau _2)\) acquires both amplitude and phase information. Detailed theoretical description on this experiment can be found from [22].
References
C.J. Bardeen et al., Feedback quantum control of molecular electronic population transfer. Chem. Phys. Lett. 280, 151–158 (1997)
A. Assion et al., Control of chemical reactions by feedback-optimized phase-shaped femtosecond laser pulses. Science 282, 919–922 (1998)
D. Meshulach, Y. Silberberg, Coherent quantum control of two-photon transitions by a femtosecond laser puse. Nature 396, 239–242 (1998)
G. Imeshev, M.A. Arbore, M.M. Fejer, A. Galvanauskas, M. Fermann, D. Harter, Ultrashort-pulse second-harmonic generation with longitudinally nonuniform quasi-phase-matching gratings: pulse compression and shaping. J. Opt. Soc. Am. B. 17, 304–318 (2000)
S. Cialdi, M. Petrarca, C. Vicario, High-power third-harmonic flat pulse laser generation. Opt. Lett. 31, 2885–2887 (2006)
N. Dudovich, B. Dayan, S.M. Gallagher-Faeder, Y. Silberberg, Transform-limited pulses are not optimal for resonant multiphoton transitions. Phys. Rev. Lett. 86, 47–50 (2001)
S. Lee, J. Lim, C.Y. Park, J. Ahn, Strong-field quantum control of 2 \(+\) 1 photon absorption of atomic sodium. Opt. Express 19, 2266–2277 (2011)
B. Chang. Chen, S.H. Lim, Optimal laser pulse shaping for interferometric multiplex coherent anti-Stokes Raman scattering microscopy. J. Phys. Chem. B 112, 3653–3661 (2008)
J.P. Ogilvie et al., Use of coherent control for selective two-photon fluorescence microscopy in live organisms. Opt. Express 14, 759–766 (2006)
C. Rangan, P.H. Bucksbaum, Optimally shaped terahertz pulses for phase retrieval in a Rydberg-atom data register. Phys. Rev. A 64, 033417 (2001)
B.E. Cole, J.B. Williams, B.T. King, M.S. Sherwin, C.R. Stanley, Coherent manipulation of semiconductor quantum bits with terahertz radiation. Nature 410, 60–63 (2001)
W.S. Warren, H. Rabitz, M. Dahleh, Coherent control of quantum dynamics: the dream is alive. Science 259, 1581–1589 (1993)
S. Lee, J. Lim, J. Ahn, Strong-field two-photon absorption in atomic cesium: an analytical control approach. Opt. Express 17, 7648–7657 (2009)
A.M. Weiner, Femtosecond pulse shaping using spatial light modulators. Rev. Sci. Instrum. 71, 1929 (2000)
A.M. Weiner, Ultrafast optical pulse shaping: a tutorial review. Opt. Comm. 284, 3669–3692 (2011)
P. Tournois, Acousto-optic programmable dispersive filter for adaptive compensation of group delay time dispersion in laser systems. Opt. Comm. 140, 245–249 (1997)
F. Verluise et al., Amplitude and phase control of ultrashort pulses by use of an acousto-optic programmable dispersive filter: pulse compression and shaping. Opt. Lett. 25, 575–577 (2000)
T. Brixner, G. Gerber, Femtosecond polarization pulse shaping. Opt. Lett. 26, 557–559 (2001)
J.C. Diels, W. Rudolph, Ultrashort Laser Pulse Phenomena, (Academic press, 1996), pp. 1–4
J. Lim, K. Lee, J. Ahn, Ultrafast Rabi flopping in a three-level energy ladder. Opt. Lett. 37, 3378–3380 (2012)
J. Lim, H. Lee, S. Lee, J. Ahn, Quantum control in two-dimensional Fourier-transform spectroscopy. Phys. Rev. A. 84, 013425 (2011)
J. Lim, H. Lee, J. Kim, S. Lee, J. Ahn, Coherent transients mimicked by two-photon coherent control of a three-level system. Phys. Rev. A. 83, 053429 (2011)
A.M. Weiner, J.P. Heritage, E.M. Kirschner, High-resolution femtosecond pulse shaping. J. Opt. Soc. Am. B. 5, 1563 (1988)
L. Xu et al., Programmable chirp compensation for 6-fs pulse generation with a prism-pair-formed pulse shaper. IEEE J. Quantum Electron. 36, 893 (2000)
M.M. Wefers, K.A. Nelson, Programmable phase and amplitude femtosecond pulse shaping. Opt. Lett. 18, 2032 (1993)
J.W. Wilson, P. Schlup, R.A. Bartels, Ultrafast phase and amplitude pulse shaping with a single, one-dimensional, high-resolution phase mask. Opt. Express. 15, 8979 (2007)
A.M. Weiner, Femtosecond optical pulse shaping and processing. Prg. Quant. Electr. 19, 161–237 (1995)
M.M. Wefers, K.A. Nelson, Analysis of programmable ultrashort waveform generation using liquid-crystal spatial light modulators. J. Opt. Soc. Am. B. 12, 1343 (1995)
C. Tralleor-Herrero et al., Coherent control of strong field multiphoton absorption in the presence of dynamic Stark shifts. Phys. Rev. A. 71, 013423 (2005)
B. Chatel, J. Degert, S. Stock, B. Girad, Competition between sequential and direct paths in a two-photon transition. Phys. Rev. A. 68, 041402(R) (2003)
C. Trallero-Herrero, J.L. Cohen, T. Weinacht, Strong-field atomic phase matching. Phys. Rev. Lett. 96, 063603 (2006)
S. Lee, J. Lim, J. Ahn, Strong-field two-photon transition by phase shaing. Phys. Rev. A. 82, 023408 (2010)
S. Zamith, J. Degert, S. Stock, B.D. Beauvoir, Observation of coherent transients in ultrashort chirped excitation of an undamped two-level system. Phys. Rev. Lett. 87, 033001 (2001)
J. Degert, W. Wohlleben, B. Chatel, M. Motzkus, B. Girad, Realization of a time-domain Fresnel lens with coherent control. Phys. Rev. Lett. 89, 203003 (2002)
N. Dudovich, D. Oron, Y. Silberberg, Coherent transient enhancement of optically induced resonant transitions. Phys. Rev. Lett. 88, 123004 (2002)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Kim, H., Lee, H., Lim, J., Ahn, J. (2015). Optimal Pulse Shaping for Ultrafast Laser Interaction with Quantum Systems. In: Yamanouchi, K., Nam, C., Martin, P. (eds) Progress in Ultrafast Intense Laser Science XI. Springer Series in Chemical Physics(), vol 109. Springer, Cham. https://doi.org/10.1007/978-3-319-06731-5_4
Download citation
DOI: https://doi.org/10.1007/978-3-319-06731-5_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-06730-8
Online ISBN: 978-3-319-06731-5
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)