Non-Hermitian electronic theory and applications to clusters

Santra, Robin; Cederbaum, Lorenz S.

doi:10.1016/s0370-1573(02)00143-6

Cited by 280 publications

(332 citation statements)

References 158 publications

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“…(27) multiplied from the left separately with i|, d| and f ε | gives the following set of equations, Assuming a linear polarized field in z direction, the transition dipole moment can be evaluated using MCTDH according to…”

Section: State-resolved Representationmentioning

confidence: 99%

“…The decaying resonance excited state is typically prepared by either inner-valence ionization [3,4,27], resonant excitation [28,29,30,31], electron [4,32,33,34,35,36], or ion impact [4,37].…”

Section: Introductionmentioning

confidence: 99%

“…This renders insight into the transient electronic level occupations during ICD in addition to the decay rates which can likewise be obtained from non-hermitian electronic structure theory for resonances [6,27,45,46] and nuclear dynamics of the cluster explosion after ICD [47,48,49]. In cases lessaccurate partially-correlated electron dynamics has been used in combination with hole [50] or nuclear [17] dynamics.…”

Section: Introductionmentioning

confidence: 99%

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Strong field control of the interatomic Coulombic decay process in quantum dots

et al. 2017

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Section: State-resolved Representationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Strong field control of the interatomic Coulombic decay process in quantum dots

et al. 2017

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“…An experimentalist point of view review of the "early years of ICD" can be found in [10] and of more recent studies in [11]. Two comprehensive theoretical review papers by Santra et al [12] and Averbukh et al [13] are available, as well.…”

Section: Introductionmentioning

confidence: 99%

A comprehensive study of Interatomic Coulombic Decay in argon dimers: Extracting R-dependent absolute decay rates from the experiment

et al. 2017

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In this work we present a comprehensive and detailed study of Interatomic Coulombic Decay (ICD) occurring after irradiating argon dimers with XUV-synchrotron radiation. A manifold of different decay channels is observed and the corresponding initial and final states are assigned.Additionally, the effect of nuclear dynamics on the ICD electron spectrum is examined for one specific decay channel. The internuclear distance-dependent width Γ(R) of the decay is obtained from the measured energy distribution employing a classical nuclear dynamics model.

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“…For example, with conventional, basis-setdependent methods, it is not feasible to efficiently describe both bound and continuum states simultaneously. However, it has been known for some time that a reduced description for a finite number of degrees of freedom can be formally achieved by adding to the uncoupled Hamiltonian of the selected subsystem a non-Hermitian effective interaction 7,8,9,10 . As a result of this extra term, the line spectrum of the uncoupled Hamiltonian evolves so that the sharp energy levels become resonances with broadenings and shifts that depend on the form and strength of the coupling to the continuum.…”

Section: Introductionmentioning

confidence: 99%

Determination of complex absorbing potentials from the electron self-energy

Henderson¹,

Fagas²,

Hyde³

et al. 2006

The Journal of Chemical Physics

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The electronic conductance of a molecule making contact to electrodes is determined by the coupling of discrete molecular states to the continuum electrode density of states. Interactions between bound states and continua can be modeled exactly by using the (energy-dependent) selfenergy, or approximately by using a complex potential. We discuss the relation between the two approaches and give a prescription for using the self-energy to construct an energy-independent, non-local, complex potential. We apply our scheme to studying single-electron transmission in an atomic chain, obtaining excellent agreement with the exact result. Our approach allows us to treat electron-reservoir couplings independent of single electron energies, allowing for the definition of a one-body operator suitable for inclusion into correlated electron transport calculations.

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Non-Hermitian electronic theory and applications to clusters

Cited by 280 publications

References 158 publications

Strong field control of the interatomic Coulombic decay process in quantum dots

Strong field control of the interatomic Coulombic decay process in quantum dots

A comprehensive study of Interatomic Coulombic Decay in argon dimers: Extracting R-dependent absolute decay rates from the experiment

Determination of complex absorbing potentials from the electron self-energy

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