Perturbative treatment of intercenter coupling in the framework of Redfield theory
Open accessThe claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
For systems with a non-degenerate spectrum, the secular approximation decouples the equations of motion for populations and coherences in the eigenbasis of the system Hamiltonian, even with two baths at different temperatures.
“For systems with a non-degenerate spectrum like the weakly coupled spin-chains treated in this work, the SA decouples the equations of motion for the populations and coherences, i.e., for the diagonal and for the offdiagonal elements of ˆ ρ I S in the eigenbasis of the system Hamiltonian ˆ H S [9, 27, 28, 29], even and especially in the case of two baths with different temperatures.”
From Modeling heat transport through completely positive maps (2007) · cites this paper as [29]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
Atom—Photon Interactions: Basic Process and Appilcations
Cohen‐Tannoudji, C., Dupont‐Roc, J., & Grynberg, G. (1998) · doi:10.1002/9783527617197 · Cited by 2,510 · see citing works
On the Theory of Relaxation Processes
Redfield, A. G. (1957) · IBM Journal of Research and Development · doi:10.1147/rd.11.0019 · Cited by 1,807 · see citing works
Contemporary Issues in Electron Transfer Research
Barbara, P. F., Meyer, T. J., & Ratner, M. A. (1996) · The Journal of Physical Chemistry · doi:10.1021/jp9605663 · Cited by 1,558 · see citing works
The Theory of Relaxation Processes
Redfield, A. G. (1965) · Advances in magnetic and optical resonance · doi:10.1016/b978-1-4832-3114-3.50007-6 · Cited by 1,521 · see citing works
Quantum chemical probes of electron-transfer kinetics: the nature of donor-acceptor interactions
Newton, M. D. (1991) · Chemical Reviews · doi:10.1021/cr00005a007 · Cited by 1,439 · see citing works
Weiß, U. (1999) · Series in modern condensed matter physics · doi:10.1142/4239 · Cited by 1,407 · see citing works
Shore, B. W., & Knight, P. L. (1993) · Journal of Modern Optics · doi:10.1080/09500349314551321 · Cited by 1,338 · see citing works
Electron Transfer—from Isolated Molecules to Biomolecules
Bixon, M., & Jortner, J. (1999) · Advances in chemical physics · doi:10.1002/9780470141656.ch3 · Cited by 857 · see citing works
Density Matrix Theory and Applications
Blum, K. (1996) · Springer eBooks · doi:10.1007/978-1-4757-4931-1 · Cited by 690 · see citing works
Segal, D., Nitzan, A., Davis, W. B., Wasielewski, M. R., & Ratner, M. A. (2000) · The Journal of Physical Chemistry B · doi:10.1021/jp993260f · Cited by 312 · see citing works
Solution of the Redfield equation for the dissipative quantum dynamics of multilevel systems
Pollard, W. T., & Friesner, R. A. (1994) · The Journal of Chemical Physics · doi:10.1063/1.467222 · Cited by 277 · see citing works
Felts, A. K., Pollard, W. T., & Friesner, R. A. (1995) · The Journal of Physical Chemistry · doi:10.1021/j100009a057 · Cited by 222 · see citing works
Phase space approach to theories of quantum dissipation
Kohen, D., Marston, C. C., & Tannor, D. J. (1997) · The Journal of Chemical Physics · doi:10.1063/1.474887 · Cited by 211 · see citing works
Quantum Dissipative Dynamics: A Numerically Exact Methodology
Makri, N. (1998) · The Journal of Physical Chemistry A · doi:10.1021/jp980359y · Cited by 165 · see citing works
Quantum-mechanical derivation of the Bloch equations: Beyond the weak-coupling limit
Laird, B. B., Budimir, J., & Skinner, J. L. (1991) · The Journal of Chemical Physics · doi:10.1063/1.460626 · Cited by 160 · see citing works
Harris, R. A., & Silbey, R. (1985) · The Journal of Chemical Physics · doi:10.1063/1.449469 · Cited by 152 · see citing works
The Redfield Equation in Condensed‐Phase Quantum Dynamics
Pollard, W. T., Felts, A. K., & Friesner, R. A. (1996) · Advances in Chemical Physics · doi:10.1002/9780470141526.ch3 · Cited by 141 · see citing works
Jeener, J., Vlassenbroek, A., & Broekaert, P. (1995) · The Journal of Chemical Physics · doi:10.1063/1.469808 · Cited by 141 · see citing works
Egorova, D., Kühl, A., & Domcke, W. (2001) · Chemical Physics · doi:10.1016/s0301-0104(01)00293-2 · Cited by 109 · see citing works
Dissipative vibrational dynamics in a curve–crossing system
Kühn, O., May, V., & Schreiber, M. (1994) · The Journal of Chemical Physics · doi:10.1063/1.467921 · Cited by 99 · see citing works
Self-citationRelaxation properties of two-level systems in condensed phases
Romero-Rochı́n, V., & Oppenheim, I. (1989) · Physica A Statistical Mechanics and its Applications · doi:10.1016/0378-4371(89)90051-4 · Cited by 84 · see citing works
On the second-order corrections to the quantum canonical equilibrium density matrix
Geva, E., Rosenman, E., & Tannor, D. J. (2000) · The Journal of Chemical Physics · doi:10.1063/1.481928 · Cited by 79 · see citing works
Dynamics and relaxation in interacting systems: Semigroup methods
Kosloff, R., Ratner, M. A., & Davis, W. B. (1997) · The Journal of Chemical Physics · doi:10.1063/1.473726 · Cited by 75 · see citing works
Wolfseder, B., Seidner, L., Domcke, W., Stock, G., Seel, M., Engleitner, S., & Zinth, W. (1998) · Chemical Physics · doi:10.1016/s0301-0104(98)00132-3 · Cited by 68 · see citing works
Wolfseder, B., & Domcke, W. (1995) · Chemical Physics Letters · doi:10.1016/0009-2614(95)00134-p · Cited by 55 · see citing works
Density-matrix theory of charge transfer
May, V., & Schreiber, M. (1992) · Physical Review A · doi:10.1103/physreva.45.2868 · Cited by 54 · see citing works
Self-citationThermal Equilibrium in the Jaynes-Cummings Model
Cresser, J. D. (1992) · Journal of Modern Optics · doi:10.1080/09500349214552211 · Cited by 52 · see citing works
Density matrix description of ultrafast dissipative wave packet dynamics
May, V., Kuehn, O., & Schreiber, M. (1993) · The Journal of Physical Chemistry · doi:10.1021/j100150a021 · Cited by 50 · see citing works
Self-citationWolfseder, B., & Domcke, W. (1996) · Chemical Physics Letters · doi:10.1016/0009-2614(96)00715-4 · Cited by 47 · see citing works
Coupled microcavities with dissipation
Zoubi, H., Orenstien, M., & Ron, A. (2000) · Physical Review A · doi:10.1103/physreva.62.033801 · Cited by 43 · see citing works
Excitation Effects on the Quantum Dynamics of Two-Dimensional Photoinduced Nonadiabatic Processes
Jean, J. M. (1998) · The Journal of Physical Chemistry A · doi:10.1021/jp981553n · Cited by 40 · see citing works
Efficiency of different numerical methods for solving Redfield equations
Kondov, I., Kleinekathöfer, U., & Schreiber, M. (2001) · The Journal of Chemical Physics · doi:10.1063/1.1335656 · Cited by 36 · see citing works
Self-citationVibrational coherence effects on electronic curve crossing
Jean, J. M. (1996) · The Journal of Chemical Physics · doi:10.1063/1.471803 · Cited by 32 · see citing works
Semigroup Representations, Site Couplings, and Relaxation in Quantum Systems
Davis, W. B., Wasielewski, M. R., Kosloff, R., & Ratner, M. A. (1998) · The Journal of Physical Chemistry A · doi:10.1021/jp9813544 · Cited by 31 · see citing works
Efficiency of different numerical methods for solving Redfield equationsPreprint
Kondov, I., Kleinekathöfer, U., & Schreiber, M. (2001) · Cited by 25 · see citing works
Self-citationElectron transfer of betaine-30 in the inverted region
Fuchs, C., & Schreiber, M. (1996) · The Journal of Chemical Physics · doi:10.1063/1.471946 · Cited by 24 · see citing works
Self-citationSpin Relaxation and Chemical Exchange in NMR Simulations
Čuperlović‐Culf, M., Meresi, G. H., Palke, W. E., & Gerig, J. T. C. (2000) · Journal of Magnetic Resonance · doi:10.1006/jmre.1999.1812 · Cited by 16 · see citing works
Interplay of Exciton Transfer and Relaxation
Barvı́k, I., & Máček, J. (2000) · Journal of the Chinese Chemical Society · doi:10.1002/jccs.200000088 · Cited by 12 · see citing works
Towards proper parametrization in the exciton transfer and relaxation problem
Barvı́k, I., Čápek, V., & Heřman, P. (1999) · Journal of Luminescence · doi:10.1016/s0022-2313(99)00081-2 · Cited by 10 · see citing works
Quantum dynamics of a strongly coupled dissipative system toward thermal equilibrium I
Murao, M., & Shibata, F. (1995) · Physica A Statistical Mechanics and its Applications · doi:10.1016/0378-4371(95)00105-g · Cited by 10 · see citing works
Different direct integrators for Redfield equations applied to electron transfer dynamics
Schreiber, M., Kondov, I., & Kleinekathöfer, U. (2000) · Journal of Molecular Liquids · doi:10.1016/s0167-7322(99)00127-0 · Cited by 6 · see citing works
Self-citation
Flagged first, then by citations
Research works printed but not linked: 3
- [26][26] C. Cohen-Tannoudji, J. Dupont-Roc, and G. Grynberg, Atom-Photon Interactions (Wiley, New York, 1992). -
- [35][35] I. Kondov, U. Kleinekath¨ ofer, and M. Schreiber, J. Chem. Phys. (in press) (2001). -
- [36][36] V. May and O. K¨ uhn, Charge and Energy Transfer in Molecular Systems (Wiley-VCH, Berlin, 2000). -
Cited by
Sorted by citations
Modeling heat transport through completely positive maps
Wichterich, H., Henrich, M. J., Breuer, H.-P., Gemmer, J., & Michel, M. (2007) · Physical Review E · doi:10.1103/physreve.76.031115 · Cited by 224 · see citing works
Modeling of ultrafast electron-transfer processes: Validity of multilevel Redfield theory
Egorova, D., Thoss, M., Domcke, W., & Wang, H. (2003) · The Journal of Chemical Physics · doi:10.1063/1.1587121 · Cited by 157 · see citing works
Perturbative treatment of inter-site couplings in the local description of open quantum networks
Trushechkin, A. S., & Volovich, I. V. (2016) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/113/30005 · Cited by 137 · see citing works
Egorova, D., Kühl, A., & Domcke, W. (2001) · Chemical Physics · doi:10.1016/s0301-0104(01)00293-2 · Cited by 109 · see citing works
Theoretical Study of Ultrafast Photoinduced Electron Transfer Processes in Mixed-Valence Systems
Wang, H., & Thoss, M. (2003) · The Journal of Physical Chemistry A · doi:10.1021/jp0272668 · Cited by 85 · see citing works
Pugzlys, A., Augulis, R., van Loosdrecht, P. H. M., Didraga, C., Malyshev, V. A., & Knoester, J. (2006) · The Journal of Physical Chemistry B · doi:10.1021/jp062983d · Cited by 55 · see citing works
Gelin, M. F., Pisliakov, A. V., & Domcke, W. (2002) · Physical Review A · doi:10.1103/physreva.65.062507 · Cited by 42 · see citing works
Theoretical study of vibrational wave-packet dynamics in electron-transfer systems
Thoss, M., Domcke, W., & Wang, H. (2003) · Chemical Physics · doi:10.1016/j.chemphys.2003.08.029 · Cited by 40 · see citing works
Schubert, A., Falge, M., Keß, M., Settels, V., Lochbrunner, S., Strunz, W. T., Würthner, F., Engels, B., & Engel, V. (2014) · The Journal of Physical Chemistry A · doi:10.1021/jp412166a · Cited by 38 · see citing works
Gelin, M. F., Pisliakov, A. V., Egorova, D., & Domcke, W. (2003) · The Journal of Chemical Physics · doi:10.1063/1.1547751 · Cited by 38 · see citing works
Femtosecond laser pulse control of electron transfer processes
Mančal, T., Kleinekathöfer, U., & May, V. (2002) · The Journal of Chemical Physics · doi:10.1063/1.1481856 · Cited by 36 · see citing works
Self-citationStrodel, B., & Stock, G. (2004) · Chemical Physics · doi:10.1016/j.chemphys.2004.10.001 · Cited by 31 · see citing works
Heřman, P., Kleinekathöfer, U., Barvı́k, I., & Schreiber, M. (2002) · Chemical Physics · doi:10.1016/s0301-0104(01)00520-1 · Cited by 30 · see citing works
Self-citationStochastic unraveling of Redfield master equations and its application to electron transfer problems
Kondov, I., Kleinekathöfer, U., & Schreiber, M. (2003) · The Journal of Chemical Physics · doi:10.1063/1.1605095 · Cited by 25 · see citing works
Self-citationQuantum dynamical simulations of ultrafast photoinduced electron-transfer processes
Egorova, D., & Domcke, W. (2004) · Journal of Photochemistry and Photobiology A Chemistry · doi:10.1016/j.jphotochem.2004.04.034 · Cited by 24 · see citing works
Venkataraman, C., Soudackov, A. V., & Hammes‐Schiffer, S. (2009) · The Journal of Chemical Physics · doi:10.1063/1.3249964 · Cited by 21 · see citing works
Stochastic unraveling of time-local quantum master equations beyond the Lindblad class
Kleinekathöfer, U., Kondov, I., & Schreiber, M. (2002) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.66.037701 · Cited by 20 · see citing works
Self-citationEfficient numerical method for predicting nonlinear optical spectroscopies of open systems
Rose, P. A., & Krich, J. J. (2021) · The Journal of Chemical Physics · doi:10.1063/5.0024104 · Cited by 16 · see citing works
A density matrix approach to photoinduced electron injection
Schreiber, M., Kondov, I., & Kleinekathöfer, U. (2001) · Journal of Luminescence · doi:10.1016/s0022-2313(01)00341-6 · Cited by 15 · see citing works
Self-citationStochastic unraveling of Redfield master equations and its application to electron transfer problems
Kondov, I., Kleinekathöfer, U., & Schreiber, M. (2003) · CERN Document Server (European Organization for Nuclear Research) · Cited by 15 · see citing works
Self-citationStatistical theory of nonadiabatic transitions
NEUFELD, A. A. (2005) · The Journal of Chemical Physics · doi:10.1063/1.1884516 · Cited by 11 · see citing works
The mapping approach in the path integral formalism applied to curve-crossing systems
Novikov, A., Kleinekathöfer, U., & Schreiber, M. (2003) · Chemical Physics · doi:10.1016/j.chemphys.2003.10.008 · Cited by 6 · see citing works
Self-citationTime Evolution of Vibration-Induced Excited State Decay
Menšı́k, M., & Nešpůrek, S. (2002) · Czechoslovak Journal of Physics · doi:10.1023/a:1019865505248 · Cited by 6 · see citing works
Conical Intersections: Relaxation, Dephasing, and Dynamics in a Simple Model
Katz, G., Kosloff, R., & Ratner, M. A. (2004) · Israel Journal of Chemistry · doi:10.1560/kqrw-t0ll-0hl9-nkbu · Cited by 6 · see citing works
Uchiyama, C. (2023) · Physical Review A · doi:10.1103/physreva.108.042212 · Cited by 6 · see citing works
Menšı́k, M., & Nešpůrek, S. (2004) · Chemical Physics · doi:10.1016/j.chemphys.2004.04.012 · Cited by 4 · see citing works
Role of Mode-mode Coupling in Short-time Excited State Decay
Menšı́k, M., & Nešpůrek, S. (2005) · Czechoslovak Journal of Physics · doi:10.1007/s10582-005-0062-6 · Cited by 2 · see citing works
Internal Conversion Process of Chlorophyll a in Solvents in Femtosecond Pump-Probe Laser Fields
Niu, K., Dong, L., & Cong, S. (2008) · Chinese Journal of Chemical Physics · doi:10.1088/1674-0068/21/03/211-216 · Cited by 1 · see citing works
Resonance effects in the excited-state decay
Menšı́k, M., Nešpůrek, S., & Král, K. (2004) · Journal of Luminescence · doi:10.1016/j.jlumin.2004.09.072 · Cited by 1 · see citing works
Wang, H., & Thoss, M. (1998) · Encyclopedia of Computational Chemistry · doi:10.1002/0470845015.cu0031
Vibration-Induced Excited State Decay
Menšı́k, M., & Nešpůrek, S. (2006) · Kluwer Academic Publishers eBooks · doi:10.1007/1-4020-2396-0_31
The instability in the long-time regime of a kinetic model: II
Šanda, F. (2003) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/36/25/303
Dependence of Resonant Effects in Excited-State Decay on the form of Inter-State Coupling
Menšı́k, M., & Král, K. (2008) · Molecular Crystals and Liquid Crystals · doi:10.1080/15421400801917817
Numerical studies of electron transfer in systems with dissipation
Kondov, I. (2003) · Qucosa (Saxon State and University Library Dresden)
Self-citationEnergy Dissipation of Localized Exciton-Vibrational System
Menšı́k, M., & Nešpůrek, S. (2002) · Springer eBooks · doi:10.1007/978-94-010-0349-0_36
Modern Quantum Challenges: Theory
(2005) · Springer eBooks · doi:10.1007/1-4020-3016-9_3
- Authors
- Kleinekathöfer, U., Kondov, I., & Schreiber, M.
- Affiliations
- Chemnitz University of Technology (DE)
- Corresponding author
- Kleinekathöfer, Ulrich
- Venue
- Chemical Physics
- Publisher
- Elsevier BV
- Published
- 2001-06
- Volume
- 268
- Issue
- 1-3
- Pages
- 121-130
- ISSN
- 0301-0104 (ISSN-L)
- OpenAlex
- W2071667977
- Cited by
- 35
- References
- 41
- Citations by year
- 2023: 1 · 2021: 1 · 2016: 1 · 2014: 1
- FWCI
- 4.59
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Chemical Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Deutsche Forschungsgemeinschaft
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Spectroscopy and Quantum Chemical Studies
- Physical Sciences › Chemistry › Physical and Theoretical Chemistry › Photochemistry and Electron Transfer Studies
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
- Keywords
- Redfield theory, perturbation theory, coupled harmonic oscillators, charge transfer, thermal baths, energy dissipation, first-order perturbation theory, open quantum systems
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
