The DOI matches its Crossref record; 28 of the 28 references it cites were found in a registry or an index.
Colloquium: Non-Markovian dynamics in open quantum systems
Open accessAbstract
An ongoing theme in quantum physics is the interaction of small quantum systems with an environment. If that environment has many degrees of freedom and is weakly coupled, it can often be reasonable to treat its decohering effect on the small system using a ``memoryless,'' or Markovian description. This Colloquium shows that for many phenomena a more refined, non-Markovian, treatment is necessary. The suite of developing theoretical tools is reviewed, with which recent progress on this problem has been based.
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Citations
Cites
Quantum Computation and Quantum Information
Nielsen, M. A., Chuang, I., & Grover, L. K. (2002) · American Journal of Physics · doi:10.1119/1.1463744 · Cited by 21,895
On the generators of quantum dynamical semigroups
Lindblad, G. (1976) · Communications in Mathematical Physics · doi:10.1007/bf01608499 · Cited by 7,548 · cited 2×
“There is a well-established treatment of the dynamics of open quantum systems in which the open system’s time evolution is represented by a dynamical semigroup and a corresponding master equation in Lindblad form (Gorini et al., 1976; Lindblad, 1976).”
BackgroundMethodThe Theory of Open Quantum Systems
Breuer, H.-P., & Petruccione, F. (2007) · doi:10.1093/acprof:oso/9780199213900.001.0001 · Cited by 5,938
Self-citationDynamics of the dissipative two-state system
Leggett, A. J., Chakravarty, S., Dorsey, A. T., Fisher, M. P. A., Garg, A., & Zwerger, W. (1987) · Reviews of Modern Physics · doi:10.1103/revmodphys.59.1 · Cited by 5,109 · cited 1×
“Finally, we briefly discuss a further paradigmatic model for dissipative quantum dynamics with many applications, namely the spin-boson model (Leggett et al., 1987).”
Completely positive dynamical semigroups of N -level systems
Gorini, V., Kossakowski, A., & Sudarshan, E. C. G. (1976) · Journal of Mathematical Physics · doi:10.1063/1.522979 · Cited by 3,998 · cited 2×
“There is a well-established treatment of the dynamics of open quantum systems in which the open system’s time evolution is represented by a dynamical semigroup and a corresponding master equation in Lindblad form (Gorini et al., 1976; Lindblad, 1976).”
BackgroundMethodThe classical-quantum boundary for correlations: Discord and related measures
Modi, K., Brodutch, A., Cable, H., Paterek, T., & Vedral, V. (2012) · Reviews of Modern Physics · doi:10.1103/revmodphys.84.1655 · Cited by 1,600
Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
Breuer, H.-P., Laine, E.-M., & Piilo, J. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.210401 · Cited by 1,480
Self-citationQuantum Dynamical Semigroups and Applications
(2007) · Lecture Notes in Physics · doi:10.1007/3-540-70861-8 · Cited by 1,182
Entanglement and Non-Markovianity of Quantum Evolutions
Rivas, Á., Huelga, S. F., & Plenio, M. B. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.050403 · Cited by 1,037
Quantum non-Markovianity: characterization, quantification and detection
Rivas, Á., Huelga, S. F., & Plenio, M. B. (2014) · Reports on Progress in Physics · doi:10.1088/0034-4885/77/9/094001 · Cited by 1,035 · cited 4×
“For a review on recent results on quantum non-Markovianity see Rivas et al. (2014).”
BackgroundInfluential
Cited by
Quantum Fisher information matrix and multiparameter estimation
Liu, J., Yuan, H., Lu, X.-M., & Wang, X. (2020) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8121/ab5d4d · Cited by 802
Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control
Deffner, S., & Campbell, S. (2017) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8121/aa86c6 · Cited by 585
Irreversible entropy production: From classical to quantum
Landi, G. T., & Paternostro, M. (2021) · Reviews of Modern Physics · doi:10.1103/revmodphys.93.035008 · Cited by 384
Concepts of quantum non-Markovianity: A hierarchy
Li, L., Hall, M. J. W., & Wiseman, H. M. (2018) · Physics Reports · doi:10.1016/j.physrep.2018.07.001 · Cited by 353
Quantum circuit engineering for correcting coherent noise
Ahsan, M., Naqvi, S. A. Z., & Anwer, H. (2022) · Physical Review A · doi:10.1103/physreva.105.022428 · Cited by 22
Metadata
- Authors
- Breuer, H.-P., Laine, E.-M., Piilo, J., & Vacchini, B.
- Venue
- Reviews of Modern Physics
- Publisher
- American Physical Society (APS)
- Published
- 2016-04-19
- Volume
- 88
- Issue
- 2
- ISSN
- 0034-6861 (ISSN-L)
- 1539-0756
- OpenAlex
- W792163153
- Cited by
- 1,401
- References
- 28
- FWCI
- 60.01
- Type
- journal article
- Language
- en
- Open access
- green
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