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Breuer, Heinz‐Peter; Kappler, Bernd; Petruccione, Francesco

doi:10.1023/a:1007716506003

Cited by 6 publications

(9 citation statements)

References 13 publications

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“…The dynamics of the auxiliary open quantum system can be solved numerically exact by available approaches. Here, we employ the so-called Stochastic-Wavefunctions [25][26][27] , whose application to AMEA is presented in Ref. 28 .…”

Section: B Methodsmentioning

confidence: 99%

Nonequilibrium Green's functions and their relation to the negative differential conductance in the interacting resonant level model

et al. 2019

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We evaluate the non-equilibrium single particle Green's functions in the steady state of the interacting resonant level model (IRLM) under the effect of an applied bias voltage. Employing the so-called auxiliary master equation approach, we present accurate nonperturbative results for the non-equilibrium spectral and effective distribution functions, as well as for the current-voltage characteristics. We find a drastic change of these spectral properties between the regimes of low and high bias voltages and discuss the relation of these changes to the negative differential conductance (NDC), a prominent feature in the non-equilibrium IRLM. The anomalous evolution of the effective distribution function next to the impurity shown by our calculations suggests a mechanism whereby the impurity gets effectively decoupled from the leads at voltages where the NDC sets in, in agreement with previous renormalization group approaches. This scenario is qualitatively confirmed by a Hartree-Fock treatment of the model.

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Section: B Methodsmentioning

confidence: 99%

Nonequilibrium Green's functions and their relation to the negative differential conductance in the interacting resonant level model

et al. 2019

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“…In fact, such methods exist and are usually termed stochastic wave function or Monte Carlo wave function methods ͑MCWM͒. [36][37][38][39] In the MCWM, an ensemble of wave functions is propagated, and the influence of the environment on the wave functions is simulated by allowing "quantum jumps" between the eigenstates of the system. For these methods, the implementation of the nonperturbative algorithm does not represent any additional calculations of system dynamics.…”

Section: Dynamic Inhomogeneity With Spectral Diffusionmentioning

confidence: 99%

“…34 and 35͒ or stochastic wave function propagation. [34][35][36][37][38][39] Typically, the dissipative effects in multistate systems are described by the numerical propagation of the reduced density matrix via the Redfield equation. 40,41 When using these methods, it is logical and often more straightforward to implement a direct numerical treatment of the system-field interaction in order to avoid the evaluation of the multiple system response functions.…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional optical three-pulse photon echo spectroscopy. I. Nonperturbative approach to the calculation of spectra

Mančal

Pisliakov²,

Fleming³

2006

The Journal of Chemical Physics

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The nonperturbative approach to the calculation of nonlinear optical spectra of Seidner et al. [J. Chem. Phys. 103, 3998 (1995)] is extended to describe four-wave mixing experiments. The system-field interaction is treated nonperturbatively in the semiclassical dipole approximation, enabling a calculation of third order nonlinear spectroscopic signals directly from molecular dynamics and an efficient modeling of multilevel systems exhibiting relaxation and transfer phenomena. The method, coupled with the treatment of dynamics within the Bloch model, is illustrated by calculations of the two-dimensional three-pulse photon echo spectra of a simple model system-a two-electronic-level molecule. The nonperturbative calculations reproduce well-known results obtained by perturbative methods. Technical limitations of the nonperturbative approach in dealing with a dynamic inhomogeneity are discussed, and possible solutions are suggested. An application of the approach to an excitonically coupled dimer system with emphasis on the manifestation of complex exciton dynamics in two-dimensional optical spectra is presented in paper II Pisliakov et al. [J. Chem. Phys. 124, 234505 (2006), following paper].

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“…We have to mention finally that the important problem of unravelling the master equation so as to build up an equivalent Schrödinger equation is now being currently extended with success to the case of non-Markov master equations [34][35][36][37].…”

Section: Intensity Of the Corrections To Ordinary Quantum Mechanics N...mentioning

confidence: 99%

The Markov approximation revisited: Inconsistency of the standard quantum Brownian motion model

Rocco

Grigolini

1999

Physics Letters A

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Untitled

Cited by 6 publications

References 13 publications

Nonequilibrium Green's functions and their relation to the negative differential conductance in the interacting resonant level model

Nonequilibrium Green's functions and their relation to the negative differential conductance in the interacting resonant level model

Two-dimensional optical three-pulse photon echo spectroscopy. I. Nonperturbative approach to the calculation of spectra

The Markov approximation revisited: Inconsistency of the standard quantum Brownian motion model

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