The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
Genuine quantum trajectories for non-Markovian processes
Open accessAbstract
A large class of non-Markovian quantum processes in open systems can be formulated through time-local master equations which are not in Lindblad form. It is shown that such processes can be embedded in a Markovian dynamics which involves a time-dependent Lindblad generator on an extended state space. If the state space of the open system is given by some Hilbert space $\mathcal{H}$, the extended state space is the triple Hilbert space $\mathcal{H}\ensuremath{\bigotimes}{\mathbb{C}}^{3}$ which is obtained by combining the open system with a three-state system. This embedding is used to derive an unraveling for non-Markovian time evolution by means of a stochastic process in the extended state space. The process is defined through a stochastic Schr\"odinger equation which generates genuine quantum trajectories for the state vector conditioned on a continuous monitoring of an environment. The construction leads to a continuous measurement interpretation for non-Markovian dynamics within the framework of the theory of quantum measurement.
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Cites
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Lindblad, G. (1976) · Communications in Mathematical Physics · doi:10.1007/bf01608499 · Cited by 7,548
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Garraway, B. M. (1997) · Physical Review A · doi:10.1103/physreva.55.2290 · Cited by 518
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Cited by
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 trajectories and open many-body quantum systems
Daley, A. J. (2014) · Advances in Physics · doi:10.1080/00018732.2014.933502 · Cited by 853
Measure for the non-Markovianity of quantum processes
Laine, E.-M., Piilo, J., & Breuer, H.-P. (2010) · Physical Review A · doi:10.1103/physreva.81.062115 · Cited by 484
Self-citationConcepts 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
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
Metadata
- Authors
- Breuer, H.-P.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2004-07-12
- Volume
- 70
- Issue
- 1
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2014521495
- Cited by
- 163
- References
- 8
- FWCI
- 3.89
- Type
- journal article
- Language
- en
- Open access
- green
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