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Cited by 306Quantum Information and CryptographyQuantum Mechanics and ApplicationsMechanical and Optical Resonators

Dynamics of the Entanglement between Two Oscillators in the Same Environment

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Paz, Juan Pablo, Roncaglia, Augusto J.·2008·Physical Review Letters
DOI 10.1103/physrevlett.100.220401
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Abstract

We provide a complete characterization of the evolution of entanglement between two resonant oscillators coupled to a common environment. We identify three phases with different qualitative long time behavior. There is a phase where entanglement undergoes a sudden death. Another phase (sudden death and revival) is characterized by an infinite sequence of events of sudden death and revival of entanglement. In the third phase (no sudden death) there is no sudden death of entanglement, which persists for a long time. The phase diagram is described and analytic expressions for the boundary between phases are obtained. These results are applicable to a large variety of non-Markovian environments. The case of nonresonant oscillators is also numerically investigated.

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  • There is a lack of rigorous methods for arriving at a completely positive master equation in the Markovian limit when the Hamiltonian is time dependent, with the exception of adiabatic regimes of external perturbations.

    “The second problem is that there is a lack of rigorous methods for arriving at a completely positive master equation in the Markovian limit when the Hamiltonian is time dependent, with the exception of adiabatic regimes of external perturbations [36].”

    From Markovian master equations: a critical study (2010) · cites this paper as [36]

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  1. D. Braun, Phys. Rev. Lett. 89, 277901 (2002).
  2. F. Benatti, R. Floreanini, and M. Piani, Phys. Rev. Lett. 91, 070402 (2003).
  3. S. Oh and J. Kim, Phys. Rev. A 73, 062306 (2006).
  4. C. Anastopoulos, S. Shresta, and B. L. Hu, arXiv:quant- ph/0610007.
  5. T. Yu and J. H. Eberly, Phys. Rev. Lett. 93, 140404 (2004).
  6. M. G. Paris, J. Opt. B 4, 442 (2002).
  7. A. Serafini, F. Illuminati, M. G. A. Paris, and S. De Siena, Phys. Rev. A 69, 022318 (2004).
  8. S. Maniscalco, S. Olivares, and M. G. A. Paris, Phys. Rev. A 75, 062119 (2007).
  9. J. S. Prauzner-Bechcicki, J. Phys. A 37, L173 (2004).
  10. P. J. Dodd and J. J. Halliwell, Phys. Rev. A 69, 052105 (2004).
  11. F. Benatti and R. Floreanini, J. Phys. A 39, 2689 (2006).
  12. M. Ban, J. Phys. A 39, 1927 (2006).
  13. K.-L. Liu and H.-S. Goan, Phys. Rev. A 76, 022312 (2007).
  14. J.-H. An and W.-M. Zhang, Phys. Rev. A 76, 042127 (2007).
  15. C. Ho ¨rhammer and H. Bu ¨ttner, Phys. Rev. A 77, 042305 (2008).
  16. B. L. Hu, J. P. Paz, and Y. Zhang, Phys. Rev. D 45, 2843 (1992).
  17. R. P. Feynman and F. L. Vernon, Ann. Phys. (Leipzig) 24, 118 (1963).
  18. C.-H. Chou, T. Yu, and B. L. Hu, Phys. Rev. E 77, 011112 (2008).
  19. G. Vidal and R. F. Werner, Phys. Rev. A 65, 032314 (2002).
  20. J. Eisert, Ph.D. thesis, University of Potsdam, 2001.
  21. G. Adesso, A. Serafini, and F. Illuminati, Phys. Rev. A 70, 022318 (2004).
  22. J. Eisert and M. B. Plenio, Phys. Rev. Lett. 89, 137902 (2002).
  23. A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev. 47, 777 (1935).
  24. M. Yo ¨nac, T. Yu, and J. H. Eberly, J. Phys. B 39, S621 (2006).
  25. M. Yo ¨nac, T. Yu, and J. H. Eberly, J. Phys. B 40, S45 (2007).

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Authors
Paz, J. P., & Roncaglia, A. J.
Affiliations
Universidad de Buenos Aires (AR)
ORCID
Venue
Physical Review Letters
Publisher
American Physical Society (APS)
Published
2008-06-02
Volume
100
Issue
22
Pages
220401-220401
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
DOI
10.1103/physrevlett.100.220401
OpenAlex
W2060433095
Cited by
306
References
25
Citations by year
2026: 4 · 2025: 19 · 2024: 9 · 2023: 9 · 2022: 13 · 2021: 15 · 2020: 10 · 2019: 9 · 2018: 19 · 2017: 10 · 2016: 11 · 2015: 17 · 2014: 17 · 2013: 20 · 2012: 21
FWCI
54.45
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical Review Letters (publishedVersion)
  • PubMed (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • Conicet (submittedVersion, cc-by-nc-sa)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Mechanical and Optical Resonators
Keywords
entanglement dynamics, shared environment, entanglement sudden death, entanglement revival, non-Markovian environments, resonant oscillators, phase diagram, open quantum systems

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