We present nonperturbative, time-ind tense las aser fields. The energ distrib ime-Independent calculations o s of the photodissociation rate of H + ' y is rl ution of the protons consists of a se u p yg g' mu tip oton absorpth d' t ib t'o of}li hk op " p g vector o a linear polarized laser is n utlon of the PAC CS numbers: 33.80.Gj, 33,80.%'z, 34 50 RkĨ t is well d demonstrated that multi hot intense laser fields u ip oton transitions in aser e s may radically change the d namics o isions (photoionizan particular, the process of abovization (ATI), in w ' s o above-threshold ionin which free-free hoton takes place once th 1 p on absorption ce e e ectron is alread in t as een actively studied both experimentalmolecular systems. The ex a oms ut also in a few this s. e experimental signature of is process is the appearance of successiv separated b one e o successive peaks, evenly kinetic-energy distribution f energy, in the i u ion o ejected photoelectrons. -co ision process of e address the analogous half-11' ' e-threshold dissociation (ATD) durin dissociation of d uring the photoa iatomic molecule. In this ca ditional quanta of h n is case the ada o p oton energy would a ea spaced peaks th k appear as evenly h f in e inetic-ener s p o o ra ments. revious wave-acket 7 o on issociation by infrared lasers has oug various experiments involvin str field photoionization of H ' isuggest to us that multp o on free-free absorptions mi h b o -' ns mig t be occurrin in the issociation continuum of the roduct is y no means unequivocal at this o our aim in thi L a is point, and it is is etter to encoura e mo ination f th' s o is possibility. g more careful examSpecifically, we present non ert onperturbative calculations E /eV l2-Vg IO I-DISSOC lATiON 8 energy e(n . H / 2 gy th . However, even in mod t fi ld epending on the photon ener hv state, we find th b energy v and initial n at absor tion of easi y ea to pathways to dissociation n & nth that are e re er to such processes as above-threshold d' p asize the similarity with the ATI process. Our time-independent cl pe close-coupled scattering formuation is based on defining a finite set ' g i rent photon-number t t e s ates involvin diffe N+ 1), iN~2), . . . . e ex a sacs q esignate the total a molecule. At each tal angular momentum of the fi lde e -free eac interatomic distance R 1 on y H2+~ls( o sJ, gM, v)+nhv H++H(l )+ s( e. n 1 H+H As indicated in Fig. 1 we onl co th 1 e repulsive H2 (2 tr we on y consider dissociation via ptr") electronic state which is asymptotically degenerate th H + ( e wtt H2 iso ). ensi ies, photodissociation will norma y proceed via the first energeticall e ica y accessible conber of photons n s a e w ic requires absor ti p ion of the least numr o p otons n&h and yields the lowest 1 t k re ative kinetic R/0 o FIG. 1. Po otentlal-energy curves for the r cited states of H2 wi es or t e ground and first exs o 2, with schematic continuum wave functions ft b s a er a sorption of 1, 2 or uum vibrational length 329.7 n , 2, or 3 photons of wavenm from the v...
We study theoretically the photodissociation dynamics of the H_{2};{+} molecular ion exposed to a linearly polarized laser light. It is shown that it is possible to choose a laser wavelength and intensity so as to produce a coalescence of two photodissociation vibronic resonance states. At such a coalescence point, also called an exceptional point, the photodissociative resonance wave function is self-orthogonal. This unique phenomenon which is presented here for light induced molecular dynamics enables us to transfer completely the nondissociated molecules from one vibronic state to another by varying adiabatically the laser frequency and intensity along a closed contour which encircles the exceptional point.
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