- Letter
- Open Access
Enhancing Autler-Townes splittings by ultrafast XUV pulses
Phys. Rev. Research 3, L032052 – Published 25 August, 2021
DOI: https://doi.org/10.1103/PhysRevResearch.3.L032052
Abstract
We study the photoelectron spectra of hydrogen and helium ionized by intense ultrafast two-color XUV laser pulses by numerically solving the time-dependent Schrödinger equation. The photon energy of the pump pulse is tuned to the excitation energy, inducing Rabi oscillations between these bound states and forming an Autler-Townes (AT) doublet of dressed states. When ionized by a time-delayed ultrafast XUV pulse with duration shorter than the Rabi oscillation period, we find novel and drastically enhanced AT splittings in the photoionization spectrum. We identify their origin in terms of the temporal interference of two attosecond wave packets whose spectral distribution is controlled by the interplay between Rabi frequency and bandwidth of the probe pulse. These time-dependent features in the spectra can be much larger than the standard AT spacing induced by the pump pulse alone and can be controlled by the time delay and the duration of the probe pulse.
Physics Subject Headings (PhySH)
Article Text
References (55)
- I. I. Rabi, On the process of space quantization, Phys. Rev. 49, 324 (1936).
- P. Knight and P. Milonni, The Rabi frequency in optical spectra, Phys. Rep. 66, 21 (1980).
- B. R. Mollow, Power spectrum of light scattered by two-level systems, Phys. Rev. 188, 1969 (1969).
- M. Ruggenthaler and D. Bauer, Rabi Oscillations and Few-Level Approximations in Time-Dependent Density Functional Theory, Phys. Rev. Lett. 102, 233001 (2009).
- K. Nasiri Avanaki, D. A. Telnov, and S.-I. Chu, Harmonic generation of Li atoms in one- and two-photon Rabi-flopping regimes, Phys. Rev. A 94, 053410 (2016).
- V. Stooß, S. M. Cavaletto, S. Donsa, A. Blättermann, P. Birk, C. H. Keitel, I. Březinová, J. Burgdörfer, C. Ott, and T. Pfeifer, Real-Time Reconstruction of the Strong-Field-Driven Dipole Response, Phys. Rev. Lett. 121, 173005 (2018).
- A. F. Linskens, I. Holleman, N. Dam, and J. Reuss, Two-photon Rabi oscillations, Phys. Rev. A 54, 4854 (1996).
- K. Bergmann, H. Theuer, and B. W. Shore, Coherent population transfer among quantum states of atoms and molecules, Rev. Mod. Phys. 70, 1003 (1998).
- C. Trallero-Herrero, J. L. Cohen, and T. Weinacht, Strong-Field Atomic Phase Matching, Phys. Rev. Lett. 96, 063603 (2006).
- R. G. Unanyan, B. W. Shore, and K. Bergmann, Laser-driven population transfer in four-level atoms: Consequences of non-Abelian geometrical adiabatic phase factors, Phys. Rev. A 59, 2910 (1999).
- M. Reetz-Lamour, J. Deiglmayr, T. Amthor, and M. Weidemüller, Rabi oscillations between ground and Rydberg states and van der Waals blockade in a mesoscopic frozen Rydberg gas, New J. Phys. 10, 045026 (2008).
- X. Chen and J. A. Yeazell, Observation of a Nondecaying Wave Packet in a Two-Electron Atom, Phys. Rev. Lett. 81, 5772 (1998).
- B. Huber, T. Baluktsian, M. Schlagmüller, A. Kölle, H. Kübler, R. Löw, and T. Pfau, GHz Rabi Flopping to Rydberg States in Hot Atomic Vapor Cells, Phys. Rev. Lett. 107, 243001 (2011).
- M. Rezai, J. Wrachtrup, and I. Gerhardt, Detuning dependent Rabi oscillations of a single molecule, New J. Phys. 21, 045005 (2019).
- A. Palacios, H. Bachau, and F. Martín, Step-ladder Rabi oscillations in molecules exposed to intense ultrashort VUV pulses, Phys. Rev. A 74, 031402(R) (2006).
- A. Palacios, H. Bachau, and F. Martín, Excitation and ionization of molecular hydrogen by ultrashort VUV laser pulses, Phys. Rev. A 75, 013408 (2007).
- P. Vasa, W. Wang, R. Pomraenke, M. Lammers, M. Maiuri, C. Manzoni, G. Cerullo, and C. Lienau, Real-time observation of ultrafast Rabi oscillations between excitons and plasmons in metal nanostructures with j-aggregates, Nat. Photon. 7, 128 (2013).
- Y. Nakamura, Y. A. Pashkin, and J. S. Tsai, Rabi Oscillations in a Josephson-Junction Charge Two-Level System, Phys. Rev. Lett. 87, 246601 (2001).
- A. Muller, E. B. Flagg, P. Bianucci, X. Y. Wang, D. G. Deppe, W. Ma, J. Zhang, G. J. Salamo, M. Xiao, and C. K. Shih, Resonance Fluorescence from a Coherently Driven Semiconductor Quantum Dot in a Cavity, Phys. Rev. Lett. 99, 187402 (2007).
- M. Fushitani, C. N. Liu, A. Matsuda, T. Endo, Y. Toida, M. Nagasono, T. Togashi, M. Yabashi, T. Ishikawa, Y. Hikosaka, T. Morishita, and A. Hishikawa, Femtosecond two-photon Rabi oscillations in excited He driven by ultrashort intense laser fields, Nat. Photon. 10, 102 (2016).
- T. Sako, J. Adachi, A. Yagishita, M. Yabashi, T. Tanaka, M. Nagasono, and T. Ishikawa, Suppression of ionization probability due to Rabi oscillations in the resonance two-photon ionization of He by EUV free-electron lasers, Phys. Rev. A 84, 053419 (2011).
- T. Wittmann, B. Horvath, W. Helml, M. G. Schaetzel, X. Gu, A. L. Cavalieri, G. G. Paulus, and R. Kienberger, Single-shot carrier-envelope phase measurement of few-cycle laser pulses, Nat. Phys. 5, 357 (2009).
- D. Gauthier, P. c. v. R. Ribič, G. De Ninno, E. Allaria, P. Cinquegrana, M. B. Danailov, A. Demidovich, E. Ferrari, L. Giannessi, B. Mahieu, and G. Penco, Spectrotemporal Shaping of Seeded Free-Electron Laser Pulses, Phys. Rev. Lett. 115, 114801 (2015).
- E. P. Kanter, B. Krässig, Y. Li, A. M. March, P. Ho, N. Rohringer, R. Santra, S. H. Southworth, L. F. DiMauro, G. Doumy, C. A. Roedig, N. Berrah, L. Fang, M. Hoener, P. H. Bucksbaum, S. Ghimire, D. A. Reis, J. D. Bozek, C. Bostedt, M. Messerschmidt et al., Unveiling and Driving Hidden Resonances with High-Fluence, High-Intensity X-Ray Pulses, Phys. Rev. Lett. 107, 233001 (2011).
- Y. Zhang, T.-M. Yan, and Y. H. Jiang, Ultrafast Mapping of Coherent Dynamics and Density Matrix Reconstruction in a Terahertz-Assisted Laser Field, Phys. Rev. Lett. 121, 113201 (2018).
- P. J. Windpassinger, D. Oblak, P. G. Petrov, M. Kubasik, M. Saffman, C. L. Garrido Alzar, J. Appel, J. H. Müller, N. Kjærgaard, and E. S. Polzik, Nondestructive Probing of Rabi Oscillations on the Cesium Clock Transition near the Standard Quantum Limit, Phys. Rev. Lett. 100, 103601 (2008).
- S. Chaudhury, G. A. Smith, K. Schulz, and P. S. Jessen, Continuous Nondemolition Measurement of the Cs Clock Transition Pseudospin, Phys. Rev. Lett. 96, 043001 (2006).
- M. Flögel, J. Durá, B. Schütte, M. Ivanov, A. Rouzée, and M. J. J. Vrakking, Rabi oscillations in extreme ultraviolet ionization of atomic argon, Phys. Rev. A 95, 021401(R) (2017).
- X. Chen, W. Cao, Z. Li, Z. Yang, Q. Zhang, and P. Lu, Probing laser-driven bound-state dynamics using attosecond streaking spectroscopy, Phys. Rev. A 102, 053119 (2020).
- S. H. Autler and C. H. Townes, Stark effect in rapidly varying fields, Phys. Rev. 100, 703 (1955).
- R. Lechner, C. Maier, C. Hempel, P. Jurcevic, B. P. Lanyon, T. Monz, M. Brownnutt, R. Blatt, and C. F. Roos, Electromagnetically-induced-transparency ground-state cooling of long ion strings, Phys. Rev. A 93, 053401 (2016).
- C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, Observation of coherent optical information storage in an atomic medium using halted light pulses, Nature (London) 409, 490 (2001).
- P. Ranitovic, X. M. Tong, C. W. Hogle, X. Zhou, Y. Liu, N. Toshima, M. M. Murnane, and H. C. Kapteyn, Controlling The xuv Transparency of Helium Using Two-Pathway Quantum Interference, Phys. Rev. Lett. 106, 193008 (2011).
- A. Adler, A. Rachman, and E. J. Robinson, A time-dependent theory of resonant multiphoton ionization of atoms by short pulses. I. Weak-field results for the two-photon ionization of caesium, J. Phys. B 28, 5057 (1995).
- V. Rodríguez, Positronium ionization by short UV laser pulses: Splitting of the ATI peaks by Rabi oscillations, Nucl. Instrum. Methods B 247, 105 (2006).
- S. Pabst, D. Wang, and R. Santra, Driving Rabi oscillations at the giant dipole resonance in xenon, Phys. Rev. A 92, 053424 (2015).
- D. A. Tumakov, D. A. Telnov, G. Plunien, and V. M. Shabaev, Photoelectron spectra after multiphoton ionization of Li atoms in the one-photon Rabi-flopping regime, Phys. Rev. A 100, 023407 (2019).
- E. Saglamyurek, T. Hrushevskyi, A. Rastogi et al., Coherent storage and manipulation of broadband photons via dynamically controlled Autler-Townes splitting, Nat. Photon. 12, 774 (2018).
- J. Kim, J. S. Lim, H.-R. Noh, and S. K. Kim, Experimental observation of the Autler-Townes splitting in polyatomic molecules, J. Phys. Chem. Lett. 11, 6791 (2020).
- P. L. Knight, AC stark splitting of photoelectron energy spectra in multiphoton ionisation, J. Phys. B 11, L511 (1978).
- M. G. Girju, K. Hristov, O. Kidun, and D. Bauer, Nonperturbative resonant strong field ionization of atomic hydrogen, J. Phys. B 40, 4165 (2007).
- M. G. Bustamante, V. D. Rodríguez, and R. O. Barrachina, Secondary peaks in the atomic ionization by a resonant laser pulse, J. Phys.: Conf. Ser. 397, 012014 (2012).
- Q. Liao, Y. Zhou, C. Huang, and P. Lu, Multiphoton Rabi oscillations of correlated electrons in strong-field nonsequential double ionization, New J. Phys. 14, 013001 (2012).
- Y. Chen, Y. Zhou, Y. Li, M. Li, P. Lan, and P. Lu, Rabi oscillation in few-photon double ionization through doubly excited states, Phys. Rev. A 97, 013428 (2018).
- B. Walker, M. Kaluža, B. Sheehy, P. Agostini, and L. F. DiMauro, Observation of Continuum-Continuum Autler-Townes Splitting, Phys. Rev. Lett. 75, 633 (1995).
- R. Grobe and J. H. Eberly, Observation of coherence transfer by electron-electron correlation, Phys. Rev. A 48, 623 (1993).
- J. H. Shirley, Solution of the Schrödinger equation with a Hamiltonian periodic in time, Phys. Rev. 138, B979 (1965).
- M. Wollenhaupt, A. Assion, O. Bazhan, C. Horn, D. Liese, C. Sarpe-Tudoran, M. Winter, and T. Baumert, Control of interferences in an Autler-Townes doublet: Symmetry of control parameters, Phys. Rev. A 68, 015401 (2003).
- M. Baghery, U. Saalmann, and J. M. Rost, Essential Conditions for Dynamic Interference, Phys. Rev. Lett. 118, 143202 (2017).
- W.-C. Jiang, S.-G. Chen, L.-Y. Peng, and J. Burgdörfer, Two-Electron Interference in Strong-Field Ionization of He by a Short Intense Extreme Ultraviolet Laser Pulse, Phys. Rev. Lett. 124, 043203 (2020).
- P. V. Demekhin and L. S. Cederbaum, Dynamic Interference of Photoelectrons Produced by High-Frequency Laser Pulses, Phys. Rev. Lett. 108, 253001 (2012).
- W.-C. Jiang and J. Burgdörfer, Dynamic interference as signature of atomic stabilization, Opt. Express 26, 19921 (2018).
- C. J. Joachain, N. J. Kylstra, and R. M. Potvliege, Atoms in Intense Laser Fields (Cambridge University Press, Cambridge, England, 2011).
- M. Fleischhauer, A. Imamoglu, and J. P. Marangos, Electromagnetically induced transparency: Optics in coherent media, Rev. Mod. Phys. 77, 633 (2005).
- U. Fano, Effects of configuration interaction on intensities and phase shifts, Phys. Rev. 124, 1866 (1961).