The long-term evolution of D<sub>2</sub>
<sup>+</sup> nuclear wave-packet with interaction of intense femtosecond laser pulse

doi:10.1364/OE.17.023629

The long-term evolution of D₂ ⁺ nuclear wave-packet with interaction of intense femtosecond laser pulse

Yunquan Liu and Qihuang Gong »View Author Affiliations

Optics Express, Vol. 17, Issue 26, pp. 23629-23636 (2009)
http://dx.doi.org/10.1364/OE.17.023629

View Full Text Article

Enhanced HTML Acrobat PDF (309 KB)

Journal Search
Article Lookup

Article Tools

Citations

Alert me when this article is cited
Export Citation/Save

Abstract
Article Info
References (23)
Cited By
Figures (4)
Metrics
Related Content

Abstract

We investigate the long-term evolution of D₂⁺ nuclear wave-packet after interacting with a 5fs, 800nm laser pulse at an intensity of 0.5•10¹⁴W/cm². The nuclear wave-packet evolves in field-free condition for very long time after the laser pulse. The collapse and revival of nuclear wave-packet is studied. The scale of the classical time (~25fs), the revival time (~580fs) and the super-revival time (~12ps) are determined from the simulation as well as the calculation. The constituents of long-standing nuclear wave-packet are also analyzed.

OCIS Codes
(020.2649) Atomic and molecular physics : Strong field laser physics
(260.7120) Physical optics : Ultrafast phenomena

ToC Category:
Atomic and Molecular Physics

History
Original Manuscript: October 12, 2009
Revised Manuscript: November 18, 2009
Manuscript Accepted: November 19, 2009
Published: December 10, 2009

Citation
Yunquan Liu and Qihuang Gong, "The long-term evolution of D₂ ⁺ nuclear wave-packet with interaction of intense femtosecond laser pulse," Opt. Express 17, 23629-23636 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-26-23629

Sort: Author | Year | Journal | Reset

References

A. H. Zewail, “Femtochemistry: Atomic-Scale Dynamics of the Chemical Bond,” J. Phys. Chem. 104, 5660–5694 (2000). [CrossRef]
A. Zavriyev, P. H. Bucksbaum, J. Squier, and F. Saline, “Light-induced vibrational states in H2+ and D2+ in intense laser fields,” Phys. Rev. Lett. 70(8), 1077–1080 (1993). [CrossRef] [PubMed]
L. J. Frasinski, J. H. Posthumus, J. Plumridge, and K. Codling, “Manipulation of Bond Hardening in H2+ by Chirping of Intense Femtosecond Laser Pulses,” Phys. Rev. Lett. 83(18), 3625–3628 (1999). [CrossRef]
D. S. Murphy, J. McKenna, C. R. Calvert, I. D. Williams, and J. F. McCann, “Ultrafast coherent control and quantum encoding of molecular vibrations in D+2 using intense laser pulses,” N. J. Phys. 9(8), 260 (2007). [CrossRef]
Ch. Ellert, H. Stapelfeldt, E. Constant, H. Sakai, J. Wright, D. M. Rayner, and P. B. Corkum, “Observing Molecular Dynamics with Timed Coulomb Explosion Imaging,” Phil. Trans. R. Soc. A 356, 329 (1998). [CrossRef]
J. H. Posthumus, J. Plumridge, P. F. Taday, J. H. Sanderson, A. J. Langley, K. Codling, and W. A. Bryan, “Sub-pulselength time resolution of bond softening and Coulomb explosion using polarization control of laser-induced alignment,” J. Phys. B 32(5), 029 (1999). [CrossRef]
A. Baltuška, Th. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, Ch. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T. W. Hänsch, and F. Krausz, “Attosecond control of electronic processes by intense light fields,” Nature 421(6923), 611–615 (2003). [CrossRef] [PubMed]
J. Ullrich, R. Moshammer, A. Dorn, R. Dörner, L. P. H. Schmidt, and H. Schmidt-Böcking, “Recoil-ion and electron momentum spectroscopy: reaction-microscopes,” Rep. Prog. Phys. 66(9), 1463–1545 (2003). [CrossRef]
Th. Ergler, A. Rudenko, B. Feuerstein, K. Zrost, C. D. Schröter, R. Moshammer, and J. Ullrich, “Spatiotemporal Imaging of Ultrafast Molecular Motion: Collapse and Revival of the D2+ Nuclear Wave Packet,” Phys. Rev. Lett. 97(19), 193001 (2006). [CrossRef] [PubMed]
B. Feuerstein, T. Ergler, A. Rudenko, K. Zrost, C. D. Schröter, R. Moshammer, J. Ullrich, T. Niederhausen, and U. Thumm, “Complete characterization of molecular dynamics in ultrashort laser fields,” Phys. Rev. Lett. 99(15), 153002 (2007). [CrossRef] [PubMed]
S. Chelkowski, A. D. Bandrauk, and P. B. Corkum, “Efficient molecular dissociation by a chirped ultrashort infrared laser pulse,” Phys. Rev. Lett. 65(19), 2355–2358 (1990). [CrossRef] [PubMed]
J. Manz, H. Naundorf, K. Yamashita, and Y. Zhao, “Quantum Model Simulation of Complete S0 → S1 Population Transfer by Means of Intense Laser Pulses with Opposite Chirp,” J. Chem. Phys. 113(20), 8969–8980 (2000). [CrossRef]
P. Král, I. Thanopulos, and M. Shapiro, “Colloquium: Coherently controlled adiabatic passage,” Rev. Mod. Phys. 79(1), 53–77 (2007). [CrossRef]
B. Feuerstein and U. Thumm, “Mapping of coherent and decohering nuclear wave-packet dynamics in D2+ with ultrashort laser pulses,” Phys. Rev. A 67(6), 063408 (2003). [CrossRef]
Th. Niederhausen and U. Thumm, “Controlled vibrational quenching of nuclear wave packets in D2+,” Phys. Rev. A 77(1), 013407 (2008). [CrossRef]
J. Vala, O. Dulieu, F. Masnou–Seeuws, P. Pillet, and R. Kosloff, “Coherent control of cold-molecule formation through photoassociation using a chirped-pulsed-laser field,” Phys. Rev. A 63(1), 013412 (2000). [CrossRef]
C. Trump, H. Rottke, and W. Sandner, “Strong-field photoionization of vibrational ground-state H2+ and D2+ molecules,” Phys. Rev. A 59, 2858–2863 (1999). [CrossRef]
J. M. Papanikolas, R. M. Williams, and S. R. Leone, “Manipulation of rovibrational wave packet composition in the Li2E(1Σg+) shelf state using intermediate state selection and shaped femtosecond laser pulses,” J. Chem. Phys. 107(11), 4172–4178 (1997). [CrossRef]
S. Baker, J. S. Robinson, C. A. Haworth, H. Teng, R. A. Smith, C. C. Chirilǎ, M. Lein, J. W. G. Tisch, and J. P. Marangos, “Probing Proton Dynamics in Molecules on an attosecond time scale,” Science 312(5772), 424–427 (2006). [CrossRef] [PubMed]
H. Niikura, D. M. Villeneuve, and P. B. Corkum, “Stopping a vibrational wave packet with laser-induced dipole forces,” Phys. Rev. Lett. 92(13), 133002 (2004). [CrossRef] [PubMed]
R. W. Robinett, “Quantum wave packet revivals,” Phys. Rep. 392(1-2), 1–119 (2004). [CrossRef]
J. Crank, P. Nicolson, and D. R. Hartree, “A practical method for numerical evaluation of solutions of partial differential equations of the heat conduction type,” Proc. Camb. Philos. Soc. 43(01), 50–67 (1947). [CrossRef]
G. Hunter, A. W. Yau, and H. O. Pritchard, “Rotation-vibration level energies of the hydrogen and deuterium molecule-ions,” At. Data Nucl. Data Tables 14, 11–20 (1974). [CrossRef]

Baker, S.
Baltuška, A.
Bandrauk, A. D.
Bryan, W. A.
Bucksbaum, P. H.
Calvert, C. R.
Chelkowski, S.
Chirila, C. C.
Codling, K.
Constant, E.
Corkum, P. B.
Crank, J.
Dorn, A.
Dörner, R.
Dulieu, O.
Ellert, Ch.
Ergler, T.
Ergler, Th.
Feuerstein, B.
Frasinski, L. J.
Gohle, Ch.
Goulielmakis, E.
Hänsch, T. W.
Hartree, D. R.
Haworth, C. A.
Hentschel, M.
Holzwarth, R.
Hunter, G.
Kosloff, R.
Král, P.
Krausz, F.
Langley, A. J.
Lein, M.
Leone, S. R.
Manz, J.
Marangos, J. P.
Masnou–Seeuws, F.
McCann, J. F.
McKenna, J.
Moshammer, R.
Murphy, D. S.
Naundorf, H.
Nicolson, P.
Niederhausen, T.
Niederhausen, Th.
Niikura, H.
Papanikolas, J. M.
Pillet, P.
Plumridge, J.
Posthumus, J. H.
Pritchard, H. O.
Rayner, D. M.
Robinett, R. W.
Robinson, J. S.
Rottke, H.
Rudenko, A.
Sakai, H.
Saline, F.
Sanderson, J. H.
Sandner, W.
Schmidt, L. P. H.
Schmidt-Böcking, H.
Schröter, C. D.
Scrinzi, A.
Shapiro, M.
Smith, R. A.
Squier, J.
Stapelfeldt, H.
Taday, P. F.
Teng, H.
Thanopulos, I.
Thumm, U.
Tisch, J. W. G.
Trump, C.
Udem, Th.
Uiberacker, M.
Ullrich, J.
Vala, J.
Villeneuve, D. M.
Williams, I. D.
Williams, R. M.
Wright, J.
Yakovlev, V. S.
Yamashita, K.
Yau, A. W.
Zavriyev, A.
Zewail, A. H.
Zhao, Y.
Zrost, K.

At. Data Nucl. Data Tables

G. Hunter, A. W. Yau, and H. O. Pritchard, “Rotation-vibration level energies of the hydrogen and deuterium molecule-ions,” At. Data Nucl. Data Tables 14, 11–20 (1974). [CrossRef]

J. Chem. Phys.

J. Manz, H. Naundorf, K. Yamashita, and Y. Zhao, “Quantum Model Simulation of Complete S0 → S1 Population Transfer by Means of Intense Laser Pulses with Opposite Chirp,” J. Chem. Phys. 113(20), 8969–8980 (2000). [CrossRef]
J. M. Papanikolas, R. M. Williams, and S. R. Leone, “Manipulation of rovibrational wave packet composition in the Li2E(1Σg+) shelf state using intermediate state selection and shaped femtosecond laser pulses,” J. Chem. Phys. 107(11), 4172–4178 (1997). [CrossRef]

J. Phys. B

J. H. Posthumus, J. Plumridge, P. F. Taday, J. H. Sanderson, A. J. Langley, K. Codling, and W. A. Bryan, “Sub-pulselength time resolution of bond softening and Coulomb explosion using polarization control of laser-induced alignment,” J. Phys. B 32(5), 029 (1999). [CrossRef]

J. Phys. Chem.

A. H. Zewail, “Femtochemistry: Atomic-Scale Dynamics of the Chemical Bond,” J. Phys. Chem. 104, 5660–5694 (2000). [CrossRef]

N. J. Phys.

D. S. Murphy, J. McKenna, C. R. Calvert, I. D. Williams, and J. F. McCann, “Ultrafast coherent control and quantum encoding of molecular vibrations in D+2 using intense laser pulses,” N. J. Phys. 9(8), 260 (2007). [CrossRef]

Nature

A. Baltuška, Th. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, Ch. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T. W. Hänsch, and F. Krausz, “Attosecond control of electronic processes by intense light fields,” Nature 421(6923), 611–615 (2003). [CrossRef] [PubMed]

Phil. Trans. R. Soc. A

Ch. Ellert, H. Stapelfeldt, E. Constant, H. Sakai, J. Wright, D. M. Rayner, and P. B. Corkum, “Observing Molecular Dynamics with Timed Coulomb Explosion Imaging,” Phil. Trans. R. Soc. A 356, 329 (1998). [CrossRef]

Phys. Rep.

R. W. Robinett, “Quantum wave packet revivals,” Phys. Rep. 392(1-2), 1–119 (2004). [CrossRef]

Phys. Rev. A

B. Feuerstein and U. Thumm, “Mapping of coherent and decohering nuclear wave-packet dynamics in D2+ with ultrashort laser pulses,” Phys. Rev. A 67(6), 063408 (2003). [CrossRef]
Th. Niederhausen and U. Thumm, “Controlled vibrational quenching of nuclear wave packets in D2+,” Phys. Rev. A 77(1), 013407 (2008). [CrossRef]
J. Vala, O. Dulieu, F. Masnou–Seeuws, P. Pillet, and R. Kosloff, “Coherent control of cold-molecule formation through photoassociation using a chirped-pulsed-laser field,” Phys. Rev. A 63(1), 013412 (2000). [CrossRef]
C. Trump, H. Rottke, and W. Sandner, “Strong-field photoionization of vibrational ground-state H2+ and D2+ molecules,” Phys. Rev. A 59, 2858–2863 (1999). [CrossRef]

Phys. Rev. Lett.

A. Zavriyev, P. H. Bucksbaum, J. Squier, and F. Saline, “Light-induced vibrational states in H2+ and D2+ in intense laser fields,” Phys. Rev. Lett. 70(8), 1077–1080 (1993). [CrossRef] [PubMed]
L. J. Frasinski, J. H. Posthumus, J. Plumridge, and K. Codling, “Manipulation of Bond Hardening in H2+ by Chirping of Intense Femtosecond Laser Pulses,” Phys. Rev. Lett. 83(18), 3625–3628 (1999). [CrossRef]
Th. Ergler, A. Rudenko, B. Feuerstein, K. Zrost, C. D. Schröter, R. Moshammer, and J. Ullrich, “Spatiotemporal Imaging of Ultrafast Molecular Motion: Collapse and Revival of the D2+ Nuclear Wave Packet,” Phys. Rev. Lett. 97(19), 193001 (2006). [CrossRef] [PubMed]
B. Feuerstein, T. Ergler, A. Rudenko, K. Zrost, C. D. Schröter, R. Moshammer, J. Ullrich, T. Niederhausen, and U. Thumm, “Complete characterization of molecular dynamics in ultrashort laser fields,” Phys. Rev. Lett. 99(15), 153002 (2007). [CrossRef] [PubMed]
S. Chelkowski, A. D. Bandrauk, and P. B. Corkum, “Efficient molecular dissociation by a chirped ultrashort infrared laser pulse,” Phys. Rev. Lett. 65(19), 2355–2358 (1990). [CrossRef] [PubMed]
H. Niikura, D. M. Villeneuve, and P. B. Corkum, “Stopping a vibrational wave packet with laser-induced dipole forces,” Phys. Rev. Lett. 92(13), 133002 (2004). [CrossRef] [PubMed]

Proc. Camb. Philos. Soc.

J. Crank, P. Nicolson, and D. R. Hartree, “A practical method for numerical evaluation of solutions of partial differential equations of the heat conduction type,” Proc. Camb. Philos. Soc. 43(01), 50–67 (1947). [CrossRef]

Rep. Prog. Phys.

J. Ullrich, R. Moshammer, A. Dorn, R. Dörner, L. P. H. Schmidt, and H. Schmidt-Böcking, “Recoil-ion and electron momentum spectroscopy: reaction-microscopes,” Rep. Prog. Phys. 66(9), 1463–1545 (2003). [CrossRef]

Rev. Mod. Phys.

P. Král, I. Thanopulos, and M. Shapiro, “Colloquium: Coherently controlled adiabatic passage,” Rev. Mod. Phys. 79(1), 53–77 (2007). [CrossRef]

Science

S. Baker, J. S. Robinson, C. A. Haworth, H. Teng, R. A. Smith, C. C. Chirilǎ, M. Lein, J. W. G. Tisch, and J. P. Marangos, “Probing Proton Dynamics in Molecules on an attosecond time scale,” Science 312(5772), 424–427 (2006). [CrossRef] [PubMed]

2008, Niederhausen, Phys. Rev. A
2007, Feuerstein, Phys. Rev. Lett.
2007, Murphy, N. J. Phys.
2007, Král, Rev. Mod. Phys.
2006, Baker, Science
2006, Ergler, Phys. Rev. Lett.
2004, Niikura, Phys. Rev. Lett.
2004, Robinett, Phys. Rep.
2003, Feuerstein, Phys. Rev. A
2003, Baltuška, Nature
2003, Ullrich, Rep. Prog. Phys.
2000, Zewail, J. Phys. Chem.
2000, Manz, J. Chem. Phys.
2000, Vala, Phys. Rev. A
1999, Trump, Phys. Rev. A
1999, Frasinski, Phys. Rev. Lett.
1999, Posthumus, J. Phys. B
1998, Ellert, Phil. Trans. R. Soc. A
1997, Papanikolas, J. Chem. Phys.
1993, Zavriyev, Phys. Rev. Lett.
1990, Chelkowski, Phys. Rev. Lett.
1974, Hunter, At. Data Nucl. Data Tables
1947, Crank, Proc. Camb. Philos. Soc.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Click here to see a list of articles that cite this paper

Figures


Fig. 1	Fig. 2	Fig. 3


Fig. 4

« Previous Article | Next Article »

OSA is a member of CrossRef.

[1] A. H. Zewail, “Femtochemistry: Atomic-Scale Dynamics of the Chemical Bond,” J. Phys. Chem. 104, 5660–5694 (2000). [CrossRef]

[2] A. Zavriyev, P. H. Bucksbaum, J. Squier, and F. Saline, “Light-induced vibrational states in H2+ and D2+ in intense laser fields,” Phys. Rev. Lett. 70(8), 1077–1080 (1993). [CrossRef] [PubMed]

[3] L. J. Frasinski, J. H. Posthumus, J. Plumridge, and K. Codling, “Manipulation of Bond Hardening in H2+ by Chirping of Intense Femtosecond Laser Pulses,” Phys. Rev. Lett. 83(18), 3625–3628 (1999). [CrossRef]

[4] D. S. Murphy, J. McKenna, C. R. Calvert, I. D. Williams, and J. F. McCann, “Ultrafast coherent control and quantum encoding of molecular vibrations in D+2 using intense laser pulses,” N. J. Phys. 9(8), 260 (2007). [CrossRef]

[5] Ch. Ellert, H. Stapelfeldt, E. Constant, H. Sakai, J. Wright, D. M. Rayner, and P. B. Corkum, “Observing Molecular Dynamics with Timed Coulomb Explosion Imaging,” Phil. Trans. R. Soc. A 356, 329 (1998). [CrossRef]

[6] J. H. Posthumus, J. Plumridge, P. F. Taday, J. H. Sanderson, A. J. Langley, K. Codling, and W. A. Bryan, “Sub-pulselength time resolution of bond softening and Coulomb explosion using polarization control of laser-induced alignment,” J. Phys. B 32(5), 029 (1999). [CrossRef]

[7] A. Baltuška, Th. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, Ch. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T. W. Hänsch, and F. Krausz, “Attosecond control of electronic processes by intense light fields,” Nature 421(6923), 611–615 (2003). [CrossRef] [PubMed]

[8] J. Ullrich, R. Moshammer, A. Dorn, R. Dörner, L. P. H. Schmidt, and H. Schmidt-Böcking, “Recoil-ion and electron momentum spectroscopy: reaction-microscopes,” Rep. Prog. Phys. 66(9), 1463–1545 (2003). [CrossRef]

[9] Th. Ergler, A. Rudenko, B. Feuerstein, K. Zrost, C. D. Schröter, R. Moshammer, and J. Ullrich, “Spatiotemporal Imaging of Ultrafast Molecular Motion: Collapse and Revival of the D2+ Nuclear Wave Packet,” Phys. Rev. Lett. 97(19), 193001 (2006). [CrossRef] [PubMed]

[10] B. Feuerstein, T. Ergler, A. Rudenko, K. Zrost, C. D. Schröter, R. Moshammer, J. Ullrich, T. Niederhausen, and U. Thumm, “Complete characterization of molecular dynamics in ultrashort laser fields,” Phys. Rev. Lett. 99(15), 153002 (2007). [CrossRef] [PubMed]

[11] S. Chelkowski, A. D. Bandrauk, and P. B. Corkum, “Efficient molecular dissociation by a chirped ultrashort infrared laser pulse,” Phys. Rev. Lett. 65(19), 2355–2358 (1990). [CrossRef] [PubMed]

[12] J. Manz, H. Naundorf, K. Yamashita, and Y. Zhao, “Quantum Model Simulation of Complete S0 → S1 Population Transfer by Means of Intense Laser Pulses with Opposite Chirp,” J. Chem. Phys. 113(20), 8969–8980 (2000). [CrossRef]

[13] P. Král, I. Thanopulos, and M. Shapiro, “Colloquium: Coherently controlled adiabatic passage,” Rev. Mod. Phys. 79(1), 53–77 (2007). [CrossRef]

[14] B. Feuerstein and U. Thumm, “Mapping of coherent and decohering nuclear wave-packet dynamics in D2+ with ultrashort laser pulses,” Phys. Rev. A 67(6), 063408 (2003). [CrossRef]

[15] Th. Niederhausen and U. Thumm, “Controlled vibrational quenching of nuclear wave packets in D2+,” Phys. Rev. A 77(1), 013407 (2008). [CrossRef]

[16] J. Vala, O. Dulieu, F. Masnou–Seeuws, P. Pillet, and R. Kosloff, “Coherent control of cold-molecule formation through photoassociation using a chirped-pulsed-laser field,” Phys. Rev. A 63(1), 013412 (2000). [CrossRef]

[17] C. Trump, H. Rottke, and W. Sandner, “Strong-field photoionization of vibrational ground-state H2+ and D2+ molecules,” Phys. Rev. A 59, 2858–2863 (1999). [CrossRef]

[18] J. M. Papanikolas, R. M. Williams, and S. R. Leone, “Manipulation of rovibrational wave packet composition in the Li2E(1Σg+) shelf state using intermediate state selection and shaped femtosecond laser pulses,” J. Chem. Phys. 107(11), 4172–4178 (1997). [CrossRef]

[19] S. Baker, J. S. Robinson, C. A. Haworth, H. Teng, R. A. Smith, C. C. Chirilǎ, M. Lein, J. W. G. Tisch, and J. P. Marangos, “Probing Proton Dynamics in Molecules on an attosecond time scale,” Science 312(5772), 424–427 (2006). [CrossRef] [PubMed]

[20] H. Niikura, D. M. Villeneuve, and P. B. Corkum, “Stopping a vibrational wave packet with laser-induced dipole forces,” Phys. Rev. Lett. 92(13), 133002 (2004). [CrossRef] [PubMed]

[21] R. W. Robinett, “Quantum wave packet revivals,” Phys. Rep. 392(1-2), 1–119 (2004). [CrossRef]

[22] J. Crank, P. Nicolson, and D. R. Hartree, “A practical method for numerical evaluation of solutions of partial differential equations of the heat conduction type,” Proc. Camb. Philos. Soc. 43(01), 50–67 (1947). [CrossRef]

[23] G. Hunter, A. W. Yau, and H. O. Pritchard, “Rotation-vibration level energies of the hydrogen and deuterium molecule-ions,” At. Data Nucl. Data Tables 14, 11–20 (1974). [CrossRef]

Select a Conference
Session or Paper #
Year

OpticsInfoBase

Optics Express

The long-term evolution of D2 + nuclear wave-packet with interaction of intense femtosecond laser pulse