Computation of high-harmonic generation spectra of the hydrogen molecule using time-dependent configuration-interaction

ABSTRACT Here we apply and expand the knowledge developed in the case of the H atom to describe high-harmonic generation (HHG) for the H2 molecule by using time-dependent configuration interaction with single excitations. The implications of using a finite atomic orbital basis set and the impact of a heuristic lifetime model which addresses ionisation losses are discussed. We also examine the influence of the angular momentum of the basis on the computed HHG spectra. Moreover, we discuss the impact of adding diffuse functions and ghost atoms in different geometrical configurations around the molecule. The effects of these additional centres on the HHG spectra are correlated with the physical interpretation of this nonlinear optical phenomenon as given by the three-step model, relating the maximal radial extent of the electron as predicted by the model to the radial extent of the Gaussian basis sets.

[1]  Andreas Dreuw,et al.  Single-reference ab initio methods for the calculation of excited states of large molecules. , 2005, Chemical reviews.

[2]  Ivanov,et al.  Theory of high-harmonic generation by low-frequency laser fields. , 1994, Physical review. A, Atomic, molecular, and optical physics.

[3]  J. P. Marangos,et al.  Probing Proton Dynamics in Molecules on an Attosecond Time Scale , 2006, Science.

[4]  Stephen R. Leone,et al.  Real-time observation of valence electron motion , 2010, Nature.

[5]  P. Knight,et al.  Interference effects in high-order harmonic generation with molecules , 2002 .

[6]  Martin Head-Gordon,et al.  Computation of high-harmonic generation spectra of H2 and N2 in intense laser pulses using quantum chemistry methods and time-dependent density functional theory , 2012 .

[7]  Martin Head-Gordon,et al.  The role of Rydberg and continuum levels in computing high harmonic generation spectra of the hydrogen atom using time-dependent configuration interaction. , 2013, The Journal of chemical physics.

[8]  I. A. Walmsley,et al.  Femtosecond to attosecond light pulses from a molecular modulator , 2011 .

[9]  Nirit Dudovich,et al.  High harmonic interferometry of multi-electron dynamics in molecules , 2009, Nature.

[10]  Time-dependent density-functional-theory calculation of high-order-harmonic generation of H 2 , 2012 .

[11]  P. Corkum,et al.  Plasma perspective on strong field multiphoton ionization. , 1993, Physical review letters.

[12]  J. Caumes,et al.  Controlling two-center interference in molecular high harmonic generation. , 2005, Physical review letters.

[13]  Lars Bojer Madsen,et al.  Time-dependent restricted-active-space self-consistent-field theory for laser-driven many-electron dynamics , 2013, 1304.5904.

[14]  Luca Poletto,et al.  High-energy attosecond light sources , 2011 .

[15]  H. Schlegel,et al.  TD-CI simulation of the electronic optical response of molecules in intense fields: comparison of RPA, CIS, CIS(D), and EOM-CCSD. , 2011, The journal of physical chemistry. A.

[16]  Mauro Nisoli,et al.  Electron localization following attosecond molecular photoionization , 2010, Nature.

[17]  Alán Aspuru-Guzik,et al.  Advances in molecular quantum chemistry contained in the Q-Chem 4 program package , 2014, Molecular Physics.

[18]  Loren Greenman,et al.  Implementation of the time-dependent configuration-interaction singles method for atomic strong-field processes , 2010 .

[19]  L. Plaja,et al.  Quantum and semiclassical simulations in intense laser- H2+ interactions , 2006 .

[20]  Stefan Klinkusch,et al.  Laser-induced electron dynamics including photoionization: A heuristic model within time-dependent configuration interaction theory. , 2009, The Journal of chemical physics.

[21]  Markus Gühr,et al.  High Harmonic Generation from Multiple Orbitals in N2 , 2008, Science.

[22]  X. Chu,et al.  Role of multiphoton excitation and two-electron effects in high harmonic generation of H2: A TDDFT calculation , 2011 .

[23]  F. Quéré Ultrafast science: Attosecond plasma optics , 2009 .

[24]  Role of many-electron dynamics in high harmonic generation. , 2006, Physical review letters.

[25]  Lars Bojer Madsen,et al.  Time-dependent restricted-active-space self-consistent-field theory for laser-driven many-electron dynamics. II. Extended formulation and numerical analysis , 2014 .

[26]  M. Ivanov,et al.  Towards a one-femtosecond film , 2010 .

[27]  L'Huillier,et al.  Attosecond Pulse Trains Using High-Order Harmonics. , 1996, Physical review letters.

[28]  Bertrand Carré,et al.  Attosecond imaging of molecular electronic wavepackets , 2010 .

[29]  David E. Woon,et al.  Gaussian basis sets for use in correlated molecular calculations. IV. Calculation of static electrical response properties , 1994 .

[30]  H. Schlegel,et al.  Electronic optical response of molecules in intense fields: comparison of TD-HF, TD-CIS, and TD-CIS(D) approaches. , 2007, The Journal of chemical physics.

[31]  A. Bandrauk,et al.  Harmonic generation in a 1D model of H2 with single and double ionization , 2005 .

[32]  S. Chu,et al.  Self-interaction-free time-dependent density-functional theory for molecular processes in strong fields: High-order harmonic generation of H2 in intense laser fields , 2001 .

[33]  P. Balcou,et al.  Observation of a Train of Attosecond Pulses from High Harmonic Generation , 2001, Science.

[34]  T. Kanai,et al.  Quantum interference during high-order harmonic generation from aligned molecules , 2005, Nature.

[35]  S. Chu,et al.  Exterior complex scaling method in time-dependent density-functional theory: Multiphoton ionization and high-order-harmonic generation of Ar atoms , 2013 .

[36]  T. H. Dunning Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen , 1989 .

[37]  S. Minemoto,et al.  Effect of nuclear motion observed in high-order harmonic generation from D2/H2 molecules with intense multi-cycle 1300 nm and 800 nm pulses , 2011 .

[38]  T. Klamroth,et al.  Molecular response properties from explicitly time-dependent configuration interaction methods. , 2007, The Journal of chemical physics.

[39]  H. Schlegel,et al.  Strong field ionization rates simulated with time-dependent configuration interaction and an absorbing potential. , 2014, The Journal of chemical physics.

[40]  R. Taïeb,et al.  Roles of resonances and recollisions in strong-field atomic phenomena. II. High-order harmonic generation , 2003 .

[41]  André D. Bandrauk,et al.  Quantum Simulation of High-Order Harmonic Spectra of the Hydrogen Atom , 2009 .

[42]  J. Levesque,et al.  Tomographic imaging of molecular orbitals , 2004, Nature.