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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]
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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
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Ilk, G., & Makri, N. (1994) · The Journal of Chemical Physics · doi:10.1063/1.468364 · Cited by 50
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Chen, H.-T., Li, T. E., Sukharev, M., Nitzan, A., & Subotnik, J. E. (2019) · The Journal of Chemical Physics · doi:10.1063/1.5057365 · Cited by 50
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Eckel, J., Reina, J. H., & Thorwart, M. (2009) · New Journal of Physics · doi:10.1088/1367-2630/11/8/085001 · Cited by 48
Chen, X., & Silbey, R. J. (2011) · The Journal of Physical Chemistry B · doi:10.1021/jp111068w · Cited by 48
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Quantum control of dissipative systems: Exact solutions
Cao, J., Messina, M. G., & Wilson, K. R. (1997) · The Journal of Chemical Physics · doi:10.1063/1.473522 · Cited by 48
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Communication: Modular path integral: Quantum dynamics via sequential necklace linking
Makri, N. (2018) · The Journal of Chemical Physics · doi:10.1063/1.5024411 · Cited by 45
Self-citationDynamical Hysteresis in Bistable Quantum Systems
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New phase space formulations and quantum dynamics approaches
He, X., Wu, B., Shang, Y., Li, B., Cheng, X., & Liu, J. (2022) · Wiley Interdisciplinary Reviews Computational Molecular Science · doi:10.1002/wcms.1619 · Cited by 47
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Link, V., Tu, H.-H., & Strunz, W. T. (2024) · Physical Review Letters · doi:10.1103/physrevlett.132.200403 · Cited by 49
Time-dependent discrete variable representations for quantum wave packet propagation
Sim, E., & Makri, N. (1995) · The Journal of Chemical Physics · doi:10.1063/1.469293 · Cited by 43
Self-citationMakri, N. (2013) · Chemical Physics Letters · doi:10.1016/j.cplett.2013.11.064 · Cited by 42
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Self-citationA partially linearized spin-mapping approach for nonadiabatic dynamics. I. Derivation of the theory
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Scaling of temporal entanglement in proximity to integrability
Lerose, A., Sonner, M., & Abanin, D. (2021) · Physical review B · doi:10.1103/physrevb.104.035137 · Cited by 41
Speeding up quantum dissipative dynamics of open systems with kernel methods
Ullah, A., & Dral, P. O. (2021) · New Journal of Physics · doi:10.1088/1367-2630/ac3261 · Cited by 42
Wang, Y., Ke, Y., & Zhao, Y. (2018) · Wiley Interdisciplinary Reviews Computational Molecular Science · doi:10.1002/wcms.1375 · Cited by 40
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Wu, B., He, X., & Liu, J. (2024) · The Journal of Physical Chemistry Letters · doi:10.1021/acs.jpclett.3c03385 · Cited by 41
Song, L., & Shi, Q. (2015) · The Journal of Chemical Physics · doi:10.1063/1.4935799 · Cited by 39
Wu, D., Hu, Z., Li, J., & Sun, X. (2021) · The Journal of Chemical Physics · doi:10.1063/5.0073689 · Cited by 41
Mannouch, J. R., & Richardson, J. O. (2020) · The Journal of Chemical Physics · doi:10.1063/5.0031173 · Cited by 37
A comparative study of different machine learning methods for dissipative quantum dynamics
Rodríguez, L. E. H., Ullah, A., Espinosa, K. J. R., Dral, P. O., & Kananenka, A. A. (2022) · Machine Learning Science and Technology · doi:10.1088/2632-2153/ac9a9d · Cited by 37
Evans, D. G., & Coalson, R. D. (1995) · The Journal of Chemical Physics · doi:10.1063/1.469297 · Cited by 36
Exact propagation of open quantum systems in a system-reservoir context
Stockburger, J. T. (2016) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/115/40010 · Cited by 35
Energy transfer in the nonequilibrium spin-boson model: From weak to strong coupling
Liu, J., Xu, H., Li, B., & Wu, C.-Q. (2017) · Physical review. E · doi:10.1103/physreve.96.012135 · Cited by 35
Commutator Matrix in Phase Space Mapping Models for Nonadiabatic Quantum Dynamics
He, X., Wu, B., Gong, Z., & Liu, J. (2021) · The Journal of Physical Chemistry A · doi:10.1021/acs.jpca.1c04429 · Cited by 35
Coccia, E., Troiani, F., & Corni, S. (2018) · The Journal of Chemical Physics · doi:10.1063/1.5022976 · Cited by 37
Mannouch, J. R., & Richardson, J. O. (2020) · Repository for Publications and Research Data (ETH Zurich) · doi:10.3929/ethz-b-000452283 · Cited by 34
On the nonperturbative theory of pure dephasing in condensed phases at low temperatures
Reichman, D. R., Silbey, R., & Suárez, A. (1996) · The Journal of Chemical Physics · doi:10.1063/1.472976 · Cited by 34
Path-integral treatment of multi-mode vibronic coupling. II. Correlation expansion of class averages
Krempl, S., Winterstetter, M., & Domcke, W. (1995) · The Journal of Chemical Physics · doi:10.1063/1.469364 · Cited by 34
Cumulant expansions and the spin-boson problem
Reichman, D. R., Brown, F. L. H., & Neu, P. (1997) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.55.2328 · Cited by 33
Spin-mapping approach for nonadiabatic molecular dynamics
Runeson, J. E., & Richardson, J. O. (2019) · Repository for Publications and Research Data (ETH Zurich) · doi:10.3929/ethz-b-000356697 · Cited by 32
Ben-Nun, M., & Martı́nez, T. J. (2007) · Israel Journal of Chemistry · doi:10.1560/ijc.47.1.75 · Cited by 31
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
A Statistical Mechanical Theory of Quantum Dynamics in Classical Environments
Kapral, R., & Ciccotti, G. (2002) · Lecture notes in physics · doi:10.1007/3-540-45837-9_16 · Cited by 31
Path integral renormalization for quantum dissipative dynamics with multiple timescales
Makri, N. (2012) · Molecular Physics · doi:10.1080/00268976.2012.680516 · Cited by 30
Self-citationEvans, D. G., & Coalson, R. D. (1996) · The Journal of Chemical Physics · doi:10.1063/1.471063 · Cited by 30
Recursive evaluation of the real-time path integral for dissipative systems. The spin-boson model
Winterstetter, M., & Domcke, W. (1995) · Chemical Physics Letters · doi:10.1016/0009-2614(95)00257-5 · Cited by 30
Excitation energy transfer: Study with non-Markovian dynamics
Liang, X.-T. (2010) · Physical Review E · doi:10.1103/physreve.82.051918 · Cited by 29
Symmetric quasi-classical dynamics with quasi-diabatic propagation scheme
Sandoval, J. S., Mandal, A., & Huo, P. (2018) · The Journal of Chemical Physics · doi:10.1063/1.5036787 · Cited by 29
Grassmann time-evolving matrix product operators for quantum impurity models
Chen, R., Xu, X., & Guo, C. (2024) · Physical review. B./Physical review. B · doi:10.1103/physrevb.109.045140 · Cited by 29
Subsystem dynamics in mixed quantum–classical systems
Toutounji, M. M., & Kapral, R. (2001) · Chemical Physics · doi:10.1016/s0301-0104(01)00290-7 · Cited by 28
Emergence of quantum-classical dynamics in an open quantum environment
Shiokawa, K., & Kapral, R. (2002) · The Journal of Chemical Physics · doi:10.1063/1.1509745 · Cited by 28
Semiclassical theory of molecular nonlinear optical polarization
Sepúlveda, M. A., & Mukamel, S. (1995) · The Journal of Chemical Physics · doi:10.1063/1.468800 · Cited by 27
Non-Markovian reduced dynamics based upon a hierarchical effective-mode representation
Burghardt, I., Martinazzo, R., & Hughes, K. H. (2012) · The Journal of Chemical Physics · doi:10.1063/1.4752078 · Cited by 25
Iterative path integral summation for nonequilibrium quantum transport
Weiss, S., Hützen, R., Becker, D., Eckel, J., Egger, R., & Thorwart, M. (2013) · physica status solidi (b) · doi:10.1002/pssb.201349187 · Cited by 26
Non-Markovian dynamics and phonon decoherence of a double quantum dot charge qubit
Liang, X.-T. (2005) · Physical Review B · doi:10.1103/physrevb.72.245328 · Cited by 26
Applicability of transfer tensor method for open quantum system dynamics
Gelžinis, A., Rybakovas, E., & Valkūnas, L. (2017) · The Journal of Chemical Physics · doi:10.1063/1.5009086 · Cited by 25
Blip-summed quantum–classical path integral with cumulative quantum memory
Makri, N. (2016) · Faraday Discussions · doi:10.1039/c6fd00142d · Cited by 25
Self-citationElectronic Coherence in Mixed-Valence Systems: Spectral Analysis
Jung, Y., Silbey, R., & Cao, J. (1999) · The Journal of Physical Chemistry A · doi:10.1021/jp9917594 · Cited by 25
Nonadiabatic Field with Triangle Window Functions on Quantum Phase Space
He, X., Cheng, X., Wu, B., & Liu, J. (2024) · The Journal of Physical Chemistry Letters · doi:10.1021/acs.jpclett.4c00793 · Cited by 23
Real-Time Path Integral Methods, Quantum Master Equations, and Classical vs Quantum Memory
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Self-citationDynamics of reduced density matrices: Classical memory versus quantum nonlocality
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Tunneling, decoherence, and entanglement of two spins interacting with a dissipative bath
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Self-citationVenkataraman, C., Soudackov, A. V., & Hammes‐Schiffer, S. (2009) · The Journal of Chemical Physics · doi:10.1063/1.3249964 · Cited by 21
Universal delocalization rate in driven dissipative two-level systems at high temperature
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Filtering schemes in the quantum-classical Liouville approach to nonadiabatic dynamics
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Quantum stochastic resonance in the strong-field limit
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Peskin, U., & Steinberg, M. (1998) · The Journal of Chemical Physics · doi:10.1063/1.476609 · Cited by 19
Phonon-induced decoherence and dissipation in donor-based charge qubits
Eckel, J., Weiss, S., & Thorwart, M. (2006) · The European Physical Journal B · doi:10.1140/epjb/e2006-00346-y · Cited by 19
Unified framework for open quantum dynamics with memory
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Wu, B., Li, B., He, X., Cheng, X., Ren, J., & Liu, J. (2025) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.5c00181 · Cited by 22
Dattani, N. S. (2013) · Computer Physics Communications · doi:10.1016/j.cpc.2013.07.001 · Cited by 18
Conte, R., & Pollak, E. (2012) · The Journal of Chemical Physics · doi:10.1063/1.3682241 · Cited by 18
Kim, C. W., Lee, W., Kim, I., & Rhee, Y. M. (2019) · The Journal of Physical Chemistry A · doi:10.1021/acs.jpca.8b10977 · Cited by 18
Coalson, R. D., & Evans, D. G. (2003) · Chemical Physics · doi:10.1016/j.chemphys.2003.08.028 · Cited by 18
A Wavepacket−Path Integral Method for Curve-Crossing Dynamics
Coalson, R. D. (1996) · The Journal of Physical Chemistry · doi:10.1021/jp9531826 · Cited by 18
Quantum decay rates for driven barrier potentials in the strong friction limit
Ankerhold, J. (2001) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.64.060102 · Cited by 18
Schwartz, S. D. (1997) · The Journal of Chemical Physics · doi:10.1063/1.475141 · Cited by 18
On iterative path integral calculations for a system interacting with a shifted dissipative bath
Walters, P., Banerjee, T., & Makri, N. (2015) · The Journal of Chemical Physics · doi:10.1063/1.4928197 · Cited by 17
Self-citationMontoya−Castillo, A., & Reichman, D. R. (2017) · The Journal of Chemical Physics · doi:10.1063/1.4973646 · Cited by 17
Billeter, S. R., & A, W. F. V. G. (1995) · Molecular Simulation · doi:10.1080/08927029508022343 · Cited by 17
Martins, J. B. L., Andr�s, J., Longo, E., & Taft, C. A. (1996) · International Journal of Quantum Chemistry · doi:10.1002/(sici)1097-461x(1996)57:5 · Cited by 43
Condensed phase electron transfer beyond the Condon approximation
Mavros, M. G., Hait, D., & Voorhis, T. V. (2016) · The Journal of Chemical Physics · doi:10.1063/1.4971166 · Cited by 16
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Dattani, N. S. (2012) · AIP Advances · doi:10.1063/1.3680607 · Cited by 16
Quantum coherence of spin-boson model at finite temperature
Wu, W., & Xu, J. (2017) · Annals of Physics · doi:10.1016/j.aop.2017.01.014 · Cited by 17
Liang, X.-T. (2014) · The Journal of Chemical Physics · doi:10.1063/1.4890533 · Cited by 16
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Bała, P., Grochowski, P. T., Lesyng, B., & McCammon, J. A. (1996) · Springer eBooks · doi:10.1007/978-3-662-09638-3_5 · Cited by 16
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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