Cumulant Expansion

1972 ◽  
pp. 99-108
Author(s):  
J. Aase Nielsen
Keyword(s):  
Cumulant Expansion

Cumulant expansion approach to stimulated emission in semiconductor lasers

2000 ◽  
Vol 62 (3) ◽  
pp. 1835-1842 ◽  
Author(s):  
Witold Bardyszewski ◽  
David Yevick ◽  
Mirosław Prywata
Keyword(s):  
Semiconductor Lasers ◽  
Stimulated Emission ◽  
Cumulant Expansion

Local structure and dynamics of amorphous germanium studied by the cumulant expansion of EXAFS

1993 ◽  
Vol 164-166 ◽  
pp. 159-162 ◽  
Author(s):  
G. Dalba ◽  
P. Fornasini ◽  
D. Diop ◽  
M. Grazioli ◽  
F. Rocca
Keyword(s):  
Local Structure ◽  
Cumulant Expansion ◽  
Amorphous Germanium ◽  
Structure And Dynamics

scholarly journals Cumulant expansion for systems with large spins

1999 ◽  
Vol 46 (4) ◽  
pp. 425-430 ◽  
Author(s):  
K Kladko ◽  
P Fulde ◽  
D. A Garanin
Keyword(s):  
Cumulant Expansion ◽  
Large Spins

A generalized cumulant expansion for disordered systems

1972 ◽  
Vol 5 (21) ◽  
pp. 3047-3060 ◽  
Author(s):  
J P Gaspard ◽  
F Cyrot-Lackmann
Keyword(s):  
Disordered Systems ◽  
Cumulant Expansion

A non-perturbative cumulant expansion method for the grand partition function of quantum systems

2001 ◽  
Vol 335 (3-4) ◽  
pp. 281-288 ◽  
Author(s):  
Sheikh Hannan Mandal ◽  
Rathindranath Ghosh ◽  
Debashis Mukherjee
Keyword(s):  
Partition Function ◽  
Expansion Method ◽  
Quantum Systems ◽  
Grand Partition Function ◽  
Cumulant Expansion

scholarly journals Absorption and Circular Dichroism Spectra of Molecular Aggregates with the Full Cumulant Expansion.

2020 ◽  
Author(s):  
Lorenzo Cupellini ◽  
Filippo Lipparini ◽  
Jianshu Cao
Keyword(s):  
Circular Dichroism ◽  
Purple Bacteria ◽  
Spectroscopic Techniques ◽  
Molecular Aggregates ◽  
Cumulant Expansion ◽  
Circular Dichroism Spectra ◽  
Linear Absorption ◽  
Redfield Theory ◽  
Vibronic Sideband ◽  
Circular Dichroïsm

The exciton Hamiltonian of multichromophoric aggregates can be probed by spectroscopic techniques such as linear absorption and circular dichroism. In order to compare calculated Hamiltonians to experiments, a lineshape theory is needed, which takes into account the coupling of the excitons with inter- and intramolecular vibrations. This coupling is normally introduced in a perturbative way through the cumulant expansion formalism, and further approximated by assuming a Markovian exciton dynamics, for example with the modified Redfield theory.<br><br>Here we present an implementation of the full cumulant expansion (FCE) formalism [Ma and Cao, <i>J. Chem. Phys.</i> <b>2015</b>, 142, 094106 ] to efficiently compute absorption and circular dichroism spectra of molecular aggregates beyond the Markov approximation, without restrictions on the form of the exciton-phonon coupling. By employing the LH2 system of purple bacteria as a challenging test case, we compare the FCE lineshapes with the Markovian lineshapes obtained with the modified Redfield theory, showing that the latter present a much poorer agreement with experiments. The FCE approach instead accurately describes the lineshapes, especially in the vibronic sideband of the B800 peak. We envision that the FCE approach will become a valuable tool for accurately comparing model exciton Hamiltonians with optical spectroscopy experiments.

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