The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
Non-Markovian dynamics of a qubit
Open accessAbstract
In this paper we investigate the non-Markovian dynamics of a qubit by comparing two generalized master equations with memory. In the case of a thermal bath, we derive the solution of the recently proposed post-Markovian master equation [A. Shabani and D. A. Lidar, Phys. Rev. A 71, 020101(R) (2005)] and we study the dynamics for an exponentially decaying memory kernel. We compare the solution of the post-Markovian master equation with the solution of the typical memory kernel master equation. Our results lead to a new physical interpretation of the reservoir correlation function and bring to light the limits of usability of master equations with memory for the system under consideration.
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Cites
On the generators of quantum dynamical semigroups
Lindblad, G. (1976) · Communications in Mathematical Physics · doi:10.1007/bf01608499 · Cited by 7,548
The Theory of Open Quantum Systems
Breuer, H.-P., & Petruccione, F. (2007) · doi:10.1093/acprof:oso/9780199213900.001.0001 · Cited by 5,938
Self-citationCompletely 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
Methods in Theoretical Quantum Optics
Barnett, S. M., & Radmore, P. M. (2002) · doi:10.1093/acprof:oso/9780198563617.001.0001 · Cited by 1,211
Nonperturbative decay of an atomic system in a cavity
Garraway, B. M. (1997) · Physical Review A · doi:10.1103/physreva.55.2290 · Cited by 518
Research works printed but not linked: 23
- 10.1103/PhysRevA.65.062101 · DOI
- 10.1103/PhysRevA.70.010501 · DOI
- 10.1103/PhysRevA.66.012302 · DOI
- 10.1103/PhysRevA.70.024301 · DOI
- 10.1103/PhysRevA.70.010304 · DOI · Paper page
- 10.1103/PhysRevA.71.012336 · DOI
- 10.1103/PhysRevLett.92.247902 · DOI
- 10.1103/PhysRevLett.93.266403 · DOI
- S. John, 1994, Phys. Rev. Lett., 74, 3419, 10.1103/PhysRevLett.74.3419 · doi:10.1103/physrevlett.74.3419
- 10.1103/PhysRevLett.79.5238 · DOI
- 10.1103/PhysRevA.71.023812 · DOI
- 10.1103/PhysRevA.69.013806 · DOI
- W. J. Munro, 1986, Phys. Rev. A, 53, 2633, 10.1103/PhysRevA.53.2633 · DOI
- 10.1103/PhysRevA.64.033808 · DOI
- 10.1103/PhysRevA.72.024103 · DOI
- 10.1103/PhysRevA.71.020101 · DOI
- H. J. Carmichael, 1993, An Open Systems Approach to Quantum Optics, 10.1007/978-3-540-47620-7 · DOI · Paper page
- 10.1088/1355-5111/8/1/007 · DOI
- 10.1103/PhysRevA.66.012108 · DOI
- 10.1103/PhysRevA.70.012106 · DOI
- C. W. Gardiner, 2000, Quantum Noise, 10.1007/978-3-662-04103-1 · DOI · Paper page
- 10.1103/PhysRevA.69.042107 · DOI
- 10.1103/PhysRevA.47.3311 · DOI · Paper page
Cited by
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
Measures of non-Markovianity: Divisibility versus backflow of information
Chruściński, D., Kossakowski, A., & Rivas, Á. (2011) · Physical Review A · doi:10.1103/physreva.83.052128 · Cited by 270
Non-Markovian Quantum Dynamics: Local versus Nonlocal
Chruściński, D., & Kossakowski, A. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.070406 · Cited by 261
Non-Markovian generalization of the Lindblad theory of open quantum systems
Breuer, H.-P. (2007) · Physical Review A · doi:10.1103/physreva.75.022103 · Cited by 196
Initial correlations in open-systems dynamics: The Jaynes-Cummings model
Smirne, A., Breuer, H.-P., Piilo, J., & Vacchini, B. (2010) · Physical Review A · doi:10.1103/physreva.82.062114 · Cited by 125
Metadata
- Authors
- Maniscalco, S., & Petruccione, F.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2006-01-24
- Volume
- 73
- Issue
- 1
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2012780081
- Cited by
- 188
- References
- 5
- FWCI
- 6.23
- Type
- journal article
- Language
- en
- Open access
- green
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