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Title: Temporal coherent control of resonant two-photon double ionization of the hydrogen molecule via doubly excited states

Journal Article · · Physical Review A

Here, we use time-delayed, counter-rotating, circularly polarized few-cycle attosecond nonoverlapping pulses to study the temporal coherent control of the resonant process of two-photon double ionization (TPDI) of hydrogen molecule via doubly excited states for pulse propagation direction along $$\hat k$$ either parallel or perpendicular to the molecular axis $$\hat R$$. For $$\hat k$$∥ $$\hat R$$ and a pulse carrier frequency of 36 eV resonantly populating the Q21Π$$^+_u$$ (1) doubly excited state as well as other 1Π$$^+_u$$ doubly excited states, we find that the indirect ionization pathway through these doubly excited states changes the character of the kinematical vortex-shaped momentum distribution produced by the two direct ionization pathways from fourfold to twofold rotational symmetry. This result is similar to what found in TPDI of the He atom involving 1P$$^ o_ {±1}$$ doubly excited states; however, angular distributions exhibiting a quantum beat effect between the ground state and a doubly excited state seen for the He atom are observed here for its molecular counterpart with an anomaly in shape and magnitude, not in frequency. The sixfold differential probability integrated over the azimuthal angle of the photoelectron pair shows that this anomaly is due to autoionization decays and quantum beats between doubly excited states. For $$\hat k$$⟂$$\hat R$$ and a broadband pulse carrier frequency of 30 eV populating the Q11Π$$^+_u$$(1), Q11Σ$$^+_u$$(1), Q21Π$$^+_u$$(1) , and Q11Σ$$^+_u$$ (2) doubly excited states, the momentum distribution is shown to exhibit dynamical electron vortices with four spiral arms, which originates from the interplay between the 1Δ$$^+_ g$$ ,1Π$$^+_ g$$, and 1Σ$$^+_ g$$ dynamical ionization amplitudes. Our treatment within either the adiabatic-nuclei approximation or fixed-nuclei approximation shows that the latter provides a very good account for this correlated process.

Research Organization:
Univ. of Nebraska, Lincoln, NE (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES); Nebraska Research Initiative
Grant/Contract Number:
FG03-96ER14646; SC0021054; TG-PHY-120003
OSTI ID:
1850232
Journal Information:
Physical Review A, Vol. 103, Issue 5; ISSN 2469-9926
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (46)

Double photoionization of aligned molecular hydrogen journal November 2006
Polarization control of isolated high-harmonic pulses journal April 2018
Attosecond Pump Probe: Exploring Ultrafast Electron Motion inside an Atom journal February 2006
Dynamical electron vortices in attosecond double photoionization of H 2 journal December 2018
Control of free electron wave packets by polarization-tailored ultrashort bichromatic laser fields journal January 2019
Attosecond Two-Photon Interferometry for Doubly Excited States of Helium journal August 2011
Kinematical vortices in double photoionization of helium by attosecond pulses journal July 2017
One-photon double ionization of H 2 with arbitrary orientation journal December 2013
Triple Differential Cross Sections for the Double Photoionization of H 2 journal April 2007
Odd electron wave packets from cycloidal ultrashort laser fields journal February 2019
Grid-based methods for diatomic quantum scattering problems. III. Double photoionization of molecular hydrogen in prolate spheroidal coordinates journal August 2010
Electron Vortices in Photoionization by Circularly Polarized Attosecond Pulses journal September 2015
Multistart spiral electron vortices in ionization by circularly polarized UV pulses journal July 2016
Extracting continuum information from Ψ ( t ) in time-dependent wave-packet calculations journal December 2007
Temporal Coherent Control in Two-Photon Transitions: From Optical Interferences to Quantum Interferences journal April 1997
High precision variational calculations for the Born-Oppenheimer energies of the ground state of the hydrogen molecule journal March 2006
Resonance Parameters and Quantum Defects for Superexcited h2 journal November 1996
Control of unimolecular reactions using coherent light journal May 1986
Attosecond Light Pulses for Probing Two-Electron Dynamics of Helium in the Time Domain journal February 2007
Multiphoton ionization of the hydrogen molecule H 2 journal April 2002
A Molecular Beam Resonance Method with Separated Oscillating Fields journal June 1950
Solving the three-body Coulomb breakup problem using exterior complex scaling journal August 2004
Ionization enhancement and suppression by phase-locked ultrafast pulse pairs journal August 2017
Radiative decay of helium doubly excited states journal May 2001
High-energy attosecond light sources journal September 2011
Wavepacket dancing: Achieving chemical selectivity by shaping light pulses journal December 1989
Doubly excited states of molecular hydrogen: theoretical absorption and photodissociation cross sections journal April 2000
Optimal control of selective vibrational excitation in harmonic linear chain molecules journal June 1988
Control of three-dimensional electron vortices from femtosecond multiphoton ionization journal October 2017
Potential-energy curves for molecular hydrogen and its ions journal December 1970
Electron Vortices in Femtosecond Multiphoton Ionization journal February 2017
Doubly-excited state effects on two-photon double ionization of helium by time-delayed, oppositely circularly-polarized attosecond pulses journal October 2017
Breakup of the aligned H 2 molecule by xuv laser pulses: A time-dependent treatment in prolate spheroidal coordinates journal April 2011
Nonlinear Dichroism in Back-to-Back Double Ionization of He by an Intense Elliptically Polarized Few-Cycle Extreme Ultraviolet Pulse journal November 2014
Precision measurement of the fundamental vibrational frequencies of tritium-bearing hydrogen molecules: T 2 , DT, HT journal January 2020
Dissociative photoionization of H2 at high photon energies: uncovering new series of doubly excited states journal May 2004
Molecular Spectra and Molecular Structure book January 1979
Recoil-ion and electron momentum spectroscopy: reaction-microscopes journal August 2003
Solving the m -mixing problem for the three-dimensional time-dependent Schrödinger equation by rotations: Application to strong-field ionization of H 2 + journal June 2007
Complete Photo-Induced Breakup of the H2 Molecule as a Probe of Molecular Electron Correlation journal December 2005
Optimizing the FEDVR-TDCC code for exploring the quantum dynamics of two-electron systems in intense laser pulses journal May 2010
Time-dependent calculations of double photoionization of the aligned H 2 molecule journal January 2012
Double ionization of He by time-delayed attosecond pulses journal April 2014
Time-of-flight spectrometer for the determination of microradian projectile scattering angles in atomic collisions journal November 1987
Extreme-ultraviolet pump–probe studies of one-femtosecond-scale electron dynamics journal July 2011
Molecular Symmetry-Mixed Dichroism in Double Photoionization of H 2 journal October 2019