Skip to main content
Top
Published in: Quantum Information Processing 6/2019

01-06-2019

Behaviors of quantum correlation for accelerated atoms coupled with a fluctuating massless scalar field with a perfectly reflecting boundary

Author: Zhiming Huang

Published in: Quantum Information Processing | Issue 6/2019

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this work, we study the dynamics of quantum correlation for two uniformly accelerated atoms immersed in a bath of fluctuating massless scalar field with a perfectly reflecting plane boundary in the Minkowski vacuum. Firstly, the master equation that governs the system evolution is derived. Then we discuss the generation, revival and decay of quantum correlation for initial zero-correlation state and initial entangled state in various conditions and models. We contrast the behaviors of quantum correlation of accelerated atoms with that of static atoms in a thermal bath at the corresponding Unruh temperature and also make a comparison between behaviors of quantum correlation and entanglement behaviors. We find that behaviors of quantum correlation of uniformly accelerated atoms present some features distinct from that of static atoms immersed in a thermal bath, and behaviors of quantum correlation are more robust than that of entanglement.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Appendix
Available only for authorised users
Literature
1.
go back to reference Niset, J., Cerf, N.J.: Multipartite nonlocality without entanglement in many dimensions. Phys. Rev. A 74, 052103 (2006)ADSCrossRef Niset, J., Cerf, N.J.: Multipartite nonlocality without entanglement in many dimensions. Phys. Rev. A 74, 052103 (2006)ADSCrossRef
2.
3.
go back to reference Datta, A., Shaji, A., Caves, C.M.: Quantum discord and the power of one qubit. Phys. Rev. Lett. 100, 050502 (2008)ADSCrossRef Datta, A., Shaji, A., Caves, C.M.: Quantum discord and the power of one qubit. Phys. Rev. Lett. 100, 050502 (2008)ADSCrossRef
4.
go back to reference Lanyon, B.P., Barbieri, M., Almeida, M.P., White, A.G.: Experimental quantum computing without entanglement. Phys. Rev. Lett. 101, 200501 (2008)ADSCrossRef Lanyon, B.P., Barbieri, M., Almeida, M.P., White, A.G.: Experimental quantum computing without entanglement. Phys. Rev. Lett. 101, 200501 (2008)ADSCrossRef
5.
go back to reference Dakić, B., et al.: Quantum discord as resource for remote state preparation. Nat. Phys. 8, 666 (2012)CrossRef Dakić, B., et al.: Quantum discord as resource for remote state preparation. Nat. Phys. 8, 666 (2012)CrossRef
6.
go back to reference Modi, K., Brodutch, A., Cable, H., Paterek, T., Vedral, V.: The classical-quantum boundary for correlations: discord and related measures. Rev. Mod. Phys. 84, 1655 (2012)ADSCrossRef Modi, K., Brodutch, A., Cable, H., Paterek, T., Vedral, V.: The classical-quantum boundary for correlations: discord and related measures. Rev. Mod. Phys. 84, 1655 (2012)ADSCrossRef
7.
go back to reference Pirandola, S.: Quantum discord as a resource for quantum cryptography. Sci. Rep. 4, 6956 (2014)ADSCrossRef Pirandola, S.: Quantum discord as a resource for quantum cryptography. Sci. Rep. 4, 6956 (2014)ADSCrossRef
8.
go back to reference Ollivier, H., Zurek, W.H.: Quantum discord: a measure of the quantumness of correlations. Phys. Rev. Lett. 88, 017901 (2001)ADSCrossRef Ollivier, H., Zurek, W.H.: Quantum discord: a measure of the quantumness of correlations. Phys. Rev. Lett. 88, 017901 (2001)ADSCrossRef
10.
go back to reference Dakić, B., Vedral, V., Brukner, Č.: Necessary and sufficient condition for nonzero quantum discord. Phys. Rev. Lett. 105, 190502 (2010)ADSCrossRef Dakić, B., Vedral, V., Brukner, Č.: Necessary and sufficient condition for nonzero quantum discord. Phys. Rev. Lett. 105, 190502 (2010)ADSCrossRef
13.
go back to reference Debarba, T., Maciel, T.O., Vianna, R.O.: Witnessed entanglement and the geometric measure of quantum discord. Phys. Rev. A 86, 024302 (2012)ADSCrossRef Debarba, T., Maciel, T.O., Vianna, R.O.: Witnessed entanglement and the geometric measure of quantum discord. Phys. Rev. A 86, 024302 (2012)ADSCrossRef
14.
go back to reference Paula, F.M., de Oliveira, T.R., Sarandy, M.S.: Geometric quantum discord through the Schatten 1-norm. Phys. Rev. A 87, 064101 (2013)ADSCrossRef Paula, F.M., de Oliveira, T.R., Sarandy, M.S.: Geometric quantum discord through the Schatten 1-norm. Phys. Rev. A 87, 064101 (2013)ADSCrossRef
15.
go back to reference Huang, Z.M., Qiu, D.W., Mateus, P.: Geometry and dynamics of one-norm geometric quantum discord. Quantum Inf. Process. 15, 301 (2016)ADSMathSciNetCrossRef Huang, Z.M., Qiu, D.W., Mateus, P.: Geometry and dynamics of one-norm geometric quantum discord. Quantum Inf. Process. 15, 301 (2016)ADSMathSciNetCrossRef
16.
17.
go back to reference Hu, M.L., Fan, H.: Measurement-induced nonlocality based on the trace norm. New J. Phys. 17, 033004 (2015)ADSCrossRef Hu, M.L., Fan, H.: Measurement-induced nonlocality based on the trace norm. New J. Phys. 17, 033004 (2015)ADSCrossRef
18.
go back to reference Qiu, L., Liu, Z.: Hierarchy, factorization law of two measurement-induced nonlocalities and their performances in quantum phase transition. Quantum Inf. Process. 15, 2053 (2016)ADSMathSciNetCrossRef Qiu, L., Liu, Z.: Hierarchy, factorization law of two measurement-induced nonlocalities and their performances in quantum phase transition. Quantum Inf. Process. 15, 2053 (2016)ADSMathSciNetCrossRef
20.
go back to reference Benatti, F., Floreanini, R.: Entanglement generation in uniformly accelerating atoms: reexamination of the Unruh effect. Phys. Rev. A 70, 012112 (2004)ADSCrossRef Benatti, F., Floreanini, R.: Entanglement generation in uniformly accelerating atoms: reexamination of the Unruh effect. Phys. Rev. A 70, 012112 (2004)ADSCrossRef
21.
go back to reference Zhang, J.L., Yu, H.W.: Entanglement generation in atoms immersed in a thermal bath of external quantum scalar fields with a boundary. Phys. Rev. A 75, 012101 (2007)ADSCrossRef Zhang, J.L., Yu, H.W.: Entanglement generation in atoms immersed in a thermal bath of external quantum scalar fields with a boundary. Phys. Rev. A 75, 012101 (2007)ADSCrossRef
22.
go back to reference Zhang, J.L., Yu, H.W.: Unruh effect and entanglement generation for accelerated atoms near a reflecting boundary. Phys. Rev. D 75, 104014 (2005)ADSCrossRef Zhang, J.L., Yu, H.W.: Unruh effect and entanglement generation for accelerated atoms near a reflecting boundary. Phys. Rev. D 75, 104014 (2005)ADSCrossRef
23.
24.
go back to reference Yang, Y.Q., Hu, J.W., Yu, H.W.: Entanglement dynamics for uniformly accelerated two-level atoms coupled with electromagnetic vacuum fluctuations. Phys. Rev. A 94, 032337 (2016)ADSCrossRef Yang, Y.Q., Hu, J.W., Yu, H.W.: Entanglement dynamics for uniformly accelerated two-level atoms coupled with electromagnetic vacuum fluctuations. Phys. Rev. A 94, 032337 (2016)ADSCrossRef
25.
26.
go back to reference Huang, Z.M.: Dynamics of quantum correlation of atoms immersed in a thermal quantum scalar fields with a boundary. Quantum Inf. Process. 17, 221 (2018)ADSMathSciNetCrossRef Huang, Z.M.: Dynamics of quantum correlation of atoms immersed in a thermal quantum scalar fields with a boundary. Quantum Inf. Process. 17, 221 (2018)ADSMathSciNetCrossRef
27.
go back to reference Casimir, H.B.G.: On the attraction between two perfectly conducting plates. Proc. K. Ned. Akad. Wet. 51, 793 (1948)MATH Casimir, H.B.G.: On the attraction between two perfectly conducting plates. Proc. K. Ned. Akad. Wet. 51, 793 (1948)MATH
28.
go back to reference Yu, H., Wu, P.X.: Quantum fluctuations of the light cone in four-dimensional spacetime with parallel plane boundaries. Phys. Rev. D 68, 084019 (2003)ADSCrossRef Yu, H., Wu, P.X.: Quantum fluctuations of the light cone in four-dimensional spacetime with parallel plane boundaries. Phys. Rev. D 68, 084019 (2003)ADSCrossRef
29.
go back to reference Ali, M., Rau, A.R.P., Alber, G.: Quantum discord for two-qubit X states. Phys. Rev. A 81, 042105 (2010)ADSCrossRef Ali, M., Rau, A.R.P., Alber, G.: Quantum discord for two-qubit X states. Phys. Rev. A 81, 042105 (2010)ADSCrossRef
30.
go back to reference Chen, Q., Zhang, C., Yu, X., Yi, X.X., Oh, C.H.: Quantum discord of two-qubit X states. Phys. Rev. A 84, 042313 (2011)ADSCrossRef Chen, Q., Zhang, C., Yu, X., Yi, X.X., Oh, C.H.: Quantum discord of two-qubit X states. Phys. Rev. A 84, 042313 (2011)ADSCrossRef
31.
go back to reference Li, B., Wang, Z.X., Fei, S.M.: Quantum discord and geometry for a class of two-qubit states. Phys. Rev. A 83, 022321 (2011)ADSCrossRef Li, B., Wang, Z.X., Fei, S.M.: Quantum discord and geometry for a class of two-qubit states. Phys. Rev. A 83, 022321 (2011)ADSCrossRef
32.
go back to reference Huang, Z.M., Situ, H.Z., Zhang, C.: Quantum coherence and correlation in spin models with Dzyaloshinskii-Moriya interaction. Int. J. Theor. Phys. 56, 2178 (2017)MathSciNetCrossRef Huang, Z.M., Situ, H.Z., Zhang, C.: Quantum coherence and correlation in spin models with Dzyaloshinskii-Moriya interaction. Int. J. Theor. Phys. 56, 2178 (2017)MathSciNetCrossRef
33.
go back to reference Ma, F.W., Liu, S.X., Kong, X.M.: Quantum entanglement and quantum phase transition in the XY model with staggered Dzyaloshinskii-Moriya interaction. Phys. Rev. A 84, 042302 (2011)ADSCrossRef Ma, F.W., Liu, S.X., Kong, X.M.: Quantum entanglement and quantum phase transition in the XY model with staggered Dzyaloshinskii-Moriya interaction. Phys. Rev. A 84, 042302 (2011)ADSCrossRef
34.
35.
36.
go back to reference Huang, Z.M., Tian, Z.H.: Dynamics of quantum entanglement in de Sitter spacetime and thermal Minkowski spacetime. Nucl. Phys. B 923, 458 (2017)ADSMathSciNetCrossRef Huang, Z.M., Tian, Z.H.: Dynamics of quantum entanglement in de Sitter spacetime and thermal Minkowski spacetime. Nucl. Phys. B 923, 458 (2017)ADSMathSciNetCrossRef
37.
go back to reference Huang, Z.M., Tian, Z.H.: Dynamics of quantum correlation in de Sitter spacetime. J. Phys. Soc. Jpn. 86, 094003 (2017)ADSCrossRef Huang, Z.M., Tian, Z.H.: Dynamics of quantum correlation in de Sitter spacetime. J. Phys. Soc. Jpn. 86, 094003 (2017)ADSCrossRef
38.
go back to reference Huang, Z.M., Zhang, C., Zhang, W., Zhao, L.H.: Equivalence of quantum resource measures for X states. Int. J. Theor. Phys. 56, 3615 (2017)CrossRef Huang, Z.M., Zhang, C., Zhang, W., Zhao, L.H.: Equivalence of quantum resource measures for X states. Int. J. Theor. Phys. 56, 3615 (2017)CrossRef
39.
go back to reference Huang, Z.M., Situ, H.Z.: Dynamics of quantum correlation and coherence for two atoms coupled with a bath of fluctuating massless scalar field. Ann. Phys. 377, 484 (2017)ADSCrossRef Huang, Z.M., Situ, H.Z.: Dynamics of quantum correlation and coherence for two atoms coupled with a bath of fluctuating massless scalar field. Ann. Phys. 377, 484 (2017)ADSCrossRef
40.
go back to reference Huang, Z.M., Situ, H.Z.: Quantum coherence behaviors of fermionic system in non-inertial frame. Quantum Inf. Process. 17, 95 (2018)ADSMathSciNetCrossRef Huang, Z.M., Situ, H.Z.: Quantum coherence behaviors of fermionic system in non-inertial frame. Quantum Inf. Process. 17, 95 (2018)ADSMathSciNetCrossRef
41.
go back to reference Huang, Z.M., Ye, Y.Y., Luo, D.R.: Simultaneous dense coding affected by fluctuating massless scalar field. Quantum Inf. Process. 17, 101 (2018)ADSMathSciNetCrossRef Huang, Z.M., Ye, Y.Y., Luo, D.R.: Simultaneous dense coding affected by fluctuating massless scalar field. Quantum Inf. Process. 17, 101 (2018)ADSMathSciNetCrossRef
42.
go back to reference Huang, Z.M.: Quantum-memory-assisted entropic uncertainty in spin models with Dzyaloshinskii-Moriya interaction. Laser Phys. Lett. 15, 025203 (2018)ADSCrossRef Huang, Z.M.: Quantum-memory-assisted entropic uncertainty in spin models with Dzyaloshinskii-Moriya interaction. Laser Phys. Lett. 15, 025203 (2018)ADSCrossRef
43.
go back to reference Huang, Z.M.: Dynamics of entropic uncertainty for atoms immersed in thermal fluctuating massless scalar field. Quantum Inf. Process 17, 73 (2018)ADSMathSciNetCrossRef Huang, Z.M.: Dynamics of entropic uncertainty for atoms immersed in thermal fluctuating massless scalar field. Quantum Inf. Process 17, 73 (2018)ADSMathSciNetCrossRef
44.
go back to reference Huang, Z.M.: Protecting quantum Fisher information in curved space-time. Eur. Phys. J. Plus 133, 101 (2018)CrossRef Huang, Z.M.: Protecting quantum Fisher information in curved space-time. Eur. Phys. J. Plus 133, 101 (2018)CrossRef
45.
go back to reference Huang, Z.M., Situ, H.Z.: Exploration of entropic uncertainty relation for two accelerating atoms immersed in a bath of electromagnetic field. Quantum Inf. Process. 18, 38 (2019)ADSCrossRef Huang, Z.M., Situ, H.Z.: Exploration of entropic uncertainty relation for two accelerating atoms immersed in a bath of electromagnetic field. Quantum Inf. Process. 18, 38 (2019)ADSCrossRef
46.
go back to reference Sanchez, N.: Comments on quantum detection and the anisotropy of thermal radiation by accelerated observers. Phys. Lett. 112A, 133 (1985)ADSMathSciNetCrossRef Sanchez, N.: Comments on quantum detection and the anisotropy of thermal radiation by accelerated observers. Phys. Lett. 112A, 133 (1985)ADSMathSciNetCrossRef
47.
go back to reference Kolbenstvedt, H.: Anisotropy of thermal radiation by accelerated detectors; an aberration effect. Phys. Lett. A 122, 292 (1987)ADSCrossRef Kolbenstvedt, H.: Anisotropy of thermal radiation by accelerated detectors; an aberration effect. Phys. Lett. A 122, 292 (1987)ADSCrossRef
48.
49.
50.
go back to reference Breuer, H.-P., Petruccione, F.: The Theory of Open Quantum Systems. Oxford University Press, Oxford (2002)MATH Breuer, H.-P., Petruccione, F.: The Theory of Open Quantum Systems. Oxford University Press, Oxford (2002)MATH
51.
go back to reference Gorini, V., Kossakowski, A., Surdarshan, E.C.G.: Completely positive dynamical semigroups of N-level systems. J. Math. Phys. 17, 821 (1976)ADSMathSciNetCrossRef Gorini, V., Kossakowski, A., Surdarshan, E.C.G.: Completely positive dynamical semigroups of N-level systems. J. Math. Phys. 17, 821 (1976)ADSMathSciNetCrossRef
53.
go back to reference Birrell, N.D., Davies, P.C.W.: Quantum fields Theory in Curved Space. Cambridge University Press, Cambridge (1982)CrossRef Birrell, N.D., Davies, P.C.W.: Quantum fields Theory in Curved Space. Cambridge University Press, Cambridge (1982)CrossRef
54.
go back to reference Wootters, W.K.: Entanglement of formation of an arbitrary state of two qubits. Phys. Rev. Lett. 80, 2245 (1998)ADSCrossRef Wootters, W.K.: Entanglement of formation of an arbitrary state of two qubits. Phys. Rev. Lett. 80, 2245 (1998)ADSCrossRef
Metadata
Title
Behaviors of quantum correlation for accelerated atoms coupled with a fluctuating massless scalar field with a perfectly reflecting boundary
Author
Zhiming Huang
Publication date
01-06-2019
Publisher
Springer US
Published in
Quantum Information Processing / Issue 6/2019
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-019-2310-x

Other articles of this Issue 6/2019

Quantum Information Processing 6/2019 Go to the issue