The DOI matches its Crossref record; 21 of the 22 references it cites were found in a registry or an index.
Path integrals for dissipative systems by tensor multiplication. Condensed phase quantum dynamics for arbitrarily long time
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“This and other non-equilibrium exchanges between system and environment can have considerable influence on the system dynamics [28-35], influence the direction of energy transfer [28] and may even lead to the generation of long-lived quantum coherence in the system [28, 36-38].”
From Vibrations, quanta and biology (2013) · cites this paper as [30]
Citations
Cites
Space-Time Approach to Non-Relativistic Quantum Mechanics
Feynman, R. P. (1948) · Reviews of Modern Physics · doi:10.1103/revmodphys.20.367 · Cited by 4,239
The theory of a general quantum system interacting with a linear dissipative system
Feynman, R. P., & Vernon, F. L. (1963) · Annals of Physics · doi:10.1016/0003-4916(63)90068-x · Cited by 2,913
Path integral approach to quantum Brownian motion
Caldeira, A. O., & Leggett, A. J. (1983) · Physica A: Statistical Mechanics and its Applications · doi:10.1016/0378-4371(83)90013-4 · Cited by 2,772
Quantum tunnelling in a dissipative system
Caldeira, A. O., & Leggett, A. (1983) · Annals of Physics · doi:10.1016/0003-4916(83)90202-6 · Cited by 2,584
Reaction path Hamiltonian for polyatomic molecules
Miller, W. H., Handy, N. C., & Adams, J. E. (1980) · The Journal of Chemical Physics · doi:10.1063/1.438959 · Cited by 1,439
Statistical Mechanics of Assemblies of Coupled Oscillators
Ford, G. W., Kac, M., & Mazur, P. (1965) · Journal of Mathematical Physics · doi:10.1063/1.1704304 · Cited by 967
On the Analytical Mechanics of Chemical Reactions. Quantum Mechanics of Linear Collisions
Marcus, R. A. (1966) · The Journal of Chemical Physics · doi:10.1063/1.1727528 · Cited by 542
Analytical Mechanics of Chemical Reactions. III. Natural Collision Coordinates
Marcus, R. A. (1968) · The Journal of Chemical Physics · doi:10.1063/1.1670460 · Cited by 243
Makri, N. (1992) · Chemical Physics Letters · doi:10.1016/0009-2614(92)85654-s · Cited by 207
Self-citationEquilibrium and Dynamical Fourier Path Integral Methods
Doll, J. D., Freeman, D. L., & Beck, T. L. (1990) · Advances in chemical physics · doi:10.1002/9780470141274.ch2 · Cited by 193
Cited by
Sorted by citations
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Comparisons of different witnesses of non-Markovianity
Zuo, W., Qian, X.-Q., & Liang, X.-T. (2016) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2016.08.058 · Cited by 1
Ma, C., Zheng, F., Sun, K., Wang, L., & Zhao, Y. (2025) · The Journal of Chemical Physics · doi:10.1063/5.0287778 · Cited by 1
Decoherence of Josephson charge qubit in non-Markovian environment
Qiu, Q.-Q., Zhou, X., & Liang, X.-T. (2016) · Physica B Condensed Matter · doi:10.1016/j.physb.2016.02.024 · Cited by 1
Equilibrium and Dynamical Path Integral Methods
Doll, J. D., Eleftheriou, M., Corcelli, S. A., & Freeman, D. L. (1999) · Springer eBooks · doi:10.1007/978-94-011-4792-7_8 · Cited by 1
MLQD: A package for machine learning-basedquantum dissipative dynamicsPreprint
Ullah, A., & Dral, P. O. (2023) · ChemRxiv · doi:10.26434/chemrxiv-2023-0xkv1 · Cited by 1
Numerical Path Integral Approach to Quantum Dynamics and Stationary Quantum States
Ruokosenmäki, I., & Rantala, T. T. (2015) · Communications in Computational Physics · doi:10.4208/cicp.180914.161214a
Quantum Dots: Coulomb Blockade, Mesoscopic Fluctuations, and Qubit DecoherencePreprint
Vorojtsov, S. (2006) · arXiv (Cornell University) · doi:10.48550/arxiv.cond-mat/0604065
Dattani, N. S. (2010) · arXiv (Cornell University) · doi:10.48550/arxiv.1009.1674
Electron transfer via interaction with a polar medium: Modulation and solvation
Tibbets, D. A., & Dakhnovskii, Y. I. (2000) · The Journal of Chemical Physics · doi:10.1063/1.481162
Decoherence of a Double Quantum Dot Charge Qubit Approached with Redfield Equation
Li, Z.-Z., & Li, Z. (2009) · Communications in Theoretical Physics · doi:10.1088/0253-6102/51/2/31
Coherencia y entrelazamiento en dinámica no Markoviana de qubits
Susa, C. E., & Reina, J. H. (2013) · Universitas Scientiarum · doi:10.11144/javeriana.sc18-2.cedm
Tunneling in Open Systems: Dynamics
Ankerhold, J. (2007) · Springer tracts in modern physics · doi:10.1007/3-540-68076-4_6
Dynamical path integral calculations for condensed phase processes
Lambert-Garrido, R. (2013) · Illinois Digital Environment for Access to Learning and Scholarship (University of Illinois at Urbana-Champaign)
Path integral methods for quantum dynamics in condensed phases
Banerjee, T. (2015) · Illinois Digital Environment for Access to Learning and Scholarship (University of Illinois at Urbana-Champaign)
Long-Lived Coherence Originating from Electronic-Vibrational Couplings in Light-Harvesting Complexes
Liang, X.-T. (2017) · Chinese Journal of Chemical Physics · doi:10.1063/1674-0068/30/cjcp1609188
Dynamics of Quantum States in a System of 3 Quantum Dots with Dipole-Dipole Interaction
Altaĭsky, M. V., Kaputkina, N. E., & Крылов, В. А. (2019) · Physics of Particles and Nuclei Letters · doi:10.1134/s1547477119060013
Non-Markovian trajectories involving future in semi-classical path integral expression
Wang, F. (2020) · European Journal of Physics · doi:10.1088/1361-6404/abb7e3
Dynamics and spectroscopy of strongly coupled electrons and nuclei
Fetherolf, J. H. (2021) · doi:10.7916/d8-m7a2-5119
MLQD: A package for machine learning-basedquantum dissipative dynamicsPreprint
Ullah, A., & Dral, P. O. (2023) · ChemRxiv · doi:10.26434/chemrxiv-2023-0xkv1-v2 · Cited by 1
Time-evolving matrix product operator method and its applications in open quantum system
Chen, R. (2023) · Acta Physica Sinica · doi:10.7498/aps.72.20222267
Huang, Z., Long, C., Zhu, Q., Cao, J., & Zheng, X. (2025) · Communications in Computational Chemistry · doi:10.4208/cicc.2025.90.01
Learning and inverting driven open quantum systems via physics-informed neural networks
Biswas, S., & Paspalakis, E. (2026) · Machine Learning Science and Technology · doi:10.1088/2632-2153/ae4b84 · Cited by 2
Coherent dynamics of the spin-boson model in the ultra-strong coupling regime
Acharyya, N., Richter, M., & Fingerhut, B. P. (2026) · The Journal of Chemical Physics · doi:10.1063/5.0331885
Grassmann time-evolving matrix product operators for superconducting quantum impurity problem
Anonymous, Wu, W., Xu, X., Chen, P.-X., Yue, C., Jiang, T., & Chen, R. (2026) · Physical review. B./Physical review. B · doi:10.1103/w2b4-tm7c
Sonner, M., Lerose, A., & Abanin, D. A. (2021) · Zenodo (CERN European Organization for Nuclear Research) · doi:10.5281/zenodo.21442136
Data related to "Influence matrix approach to many-body Floquet dynamics"
Lerose, A., Sonner, M., & Abanin, D. A. (2021) · Zenodo (CERN European Organization for Nuclear Research) · doi:10.5281/zenodo.21440458
Data related to "Scaling of temporal entanglement in proximity to integrability"
Lerose, A., Sonner, M., & Abanin, D. A. (2021) · Zenodo (CERN European Organization for Nuclear Research) · doi:10.5281/zenodo.21442021
Metadata
- Authors
- Makarov, D. E., & Makri, N.
- Affiliations
- University of Illinois Urbana-Champaign (US)
- Venue
- Chemical Physics Letters
- Publisher
- Elsevier BV
- Published
- 1994-04
- Volume
- 221
- Issue
- 5-6
- Pages
- 482-491
- ISSN
- 0009-2614 (ISSN-L)
- OpenAlex
- W2073034190
- Cited by
- 328
- References
- 22
- Citations by year
- 2026: 5 · 2025: 17 · 2024: 20 · 2023: 10 · 2022: 9 · 2021: 12 · 2020: 13 · 2019: 15 · 2018: 13 · 2017: 15 · 2016: 23 · 2015: 9 · 2014: 4 · 2013: 14 · 2012: 12
- FWCI
- 11.26
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Chemical Physics Letters (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum, superfluid, helium dynamics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Spectroscopy and Quantum Chemical Studies
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Keywords
- path integral, dissipative quantum systems, influence functional
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