Abstract
We study quantum entanglement of hybrid state composed of coherent state and fermion in noninertial frame. Quantum entanglement increases from zero to the asymptotic value with the increase of the amplitude of the coherent state. The asymptotic value is equal to the value of quantum entanglement between two fermions in noninertial frame. This means that the larger amplitude is good for quantum entanglement against the Unruh effect. We find that the entanglement of the hybrid state cannot decrease to zero as the acceleration approaches infinity, while the bosonic entanglement vanishes completely in the infinite acceleration limit. Therefore, the residual entanglement of the hybrid state can be used to process relativistic quantum information tasks.
Similar content being viewed by others
Data Availability
This manuscript has no associated data or the data will not be deposited. [Authors’ comment: All data included in this study are available upon request by contact with the corresponding authors Shu-Min Wu and Xiao-Li Huang.]
References
Bouwmeester, D., Zeilinger, A. In: Bouwmeester, D., Ekert, A., Zeilinger, A. (eds.) : The Physics of Quantum Information. Springer, Berlin (2000)
Plenio, M.B., Vedral, V.: . Contemp. Phys. 39, 431 (1998)
Horodecki, R., Horodecki, P., Horodecki, M., Horodecki, K.: . Rev. Mod. Phys. 81, 865 (2009)
Gigena, N., Tullio, M.D., Rossignoli, R.: . Phys. Rev. A 102, 042410 (2020)
Barrett, J.: . Phys. Rev. A 65, 042302 (2002)
Adesso, G., Fuentes-Schuller, I., Ericsson, M.: . Phys. Rev. A 76, 062112 (2007)
Tian, Z., Du, J.: . Eur. Phys. J. C 79, 994 (2019)
Tian, Z., Jing, J., Dragan, A.: . Phys. Rev. D 95, 125003 (2017)
Bruschi, D.E., Louko, J., Martín-Martínez, E., Dragan, A., Fuentes, I.: . Phys. Rev. A 82, 042332 (2010)
Martín-Martínez, E., Garay, L.J., León, J.: . Phys. Rev. D 82, 064006 (2010)
Esfahani, B.N., Shamirzaie, M., Soltani, M.: . Phys. Rev. D 84, 025024 (2011)
Bruschi, D.E., Dragan, A., Fuentes, I., Louko, J.: . Phys. Rev. D 86, 025026 (2012)
Hwang, M.R., Park, D., Jung, E.: . Phys. Rev. A 83, 012111 (2011)
Wu, S.M., Zeng, H.S.: . Class. Quantum Grav. 37, 115003 (2020)
Wu, S.M., Zeng, H.S., Cao, H.M.: . Class Quantum Grav. 38, 185007 (2021)
Wang, J., Pan, Q., Jing, J.: . Phys. Lett. B 692, 202 (2010)
Wang, J., Jing, J.: . Phys. Rev. A 83, 022314 (2011)
Moradi, S.: . Phys. Rev. A 79, 064301 (2009)
Martín-Martínez, E., Fuentes, I.: . Phys. Rev. A 83, 052306 (2011)
Chang, J., Kwon, Y.: . Phys. Rev. A 85, 032302 (2012)
He, J., Xu, S., Ye, L.: . Phys. Lett. B 756, 278 (2016)
Qiang, W.C., Sun, G.H., Dong, Q., Dong, S.H.: . Phys. Rev. A 98, 022320 (2018)
Xu, S., Song, X.K., Shi, J.D., Ye, L.: . Phys. Rev. D 89, 065022 (2014)
Torres-Arenasa, A.J., Dong, Q., Sun, G.H., Qiang, W.C., Dong, S.H.: . Phys. Lett. B 789, 93 (2019)
Wu, S.M., Zeng, H.S.: . Eur. Phys. J. C 82, 4 (2022)
Bombelli, L., Koul, R.K., Lee, J., Sorkin, R.D.: . Phys. Rev. D 34, 373 (1986)
Hawking, S.W.: . Commun. Math. Phys. 43, 199 (1975)
Hawking, S.W.: . Phys. Rev. D 14, 2460 (1976)
Terashima, H.: . ibid 61, 104016 (2000)
Unruh, W.G.: . Phys. Rev. D 14, 870 (1976)
Fuentes-Schuller, I., Mann, R.B.: . Phys. Rev. Lett. 95, 120404 (2005)
Alsing, P.M., Fuentes-Schuller, I., Mann, R.B., Tessier, T.E.: . Phys. Rev. A 74, 032326 (2006)
Li, Y., Pan, Y., Zhang, B., Phys, J.: . Conf. Ser. 1707, 012004 (2020)
Wu, S.M., Fan, X.W., Huang, X.L., Zeng, H.S.: . Europhys. Lett. 141, 18001 (2023)
Wen, C., Wang, J., Jing, J.: . Eur. Phys. J. C 80, 78 (2020)
Hu, B., Wen, C., Wang, J., Jing, J.: . Eur. Phys. J. C 81, 925 (2021)
Wu, S.M., Zeng, H.S.: . Eur. Phys. J. C 82, 716 (2022)
Chou, C.W., Hume, D.B., Rosenband, T., Wine-land, D.J.: . Science 329, 1630 (2010)
Wang, J.Y., et al.: . Nat. Photonics 7, 387 (2013)
Bruschi, D.E., Ralph, T.C., Fuentes, I., Jennewein, T., Razavi, M.: . Phys. Rev. D 90, 045041 (2014)
Bruschi, D.E., Datta, A., Ursin, R., Ralph, T.C., Fuentes, I.: . Phys. Rev. D 90, 124001 (2014)
Jeong, H.: . Phys. Rev. A 72, 034305 (2005)
Jeong, H., et al.: . Nat. Photonics 8, 564 (2014)
Ahmadi, F., Miry, S.R.: . Quantum Inf. Process. 20, 301 (2021)
Pakniat, R., Tavassoly, M.K., Zandi, M.H.: . Opt. Commun. 382, 381 (2017)
Rigas, J., Gühne, O., Lütkenhaus, N.: . Phys. Rev. A 73, 012341 (2006)
Lee, S.W., Jeong, H.: . Phys. Rev. A 87, 022326 (2013)
Vidal, G., Werner, R.F.: . Phys. Rev. A 65, 032314 (2002)
Ingarden, R.S., Kossakowski, A., Ohya, M.: Information Dynamics and Open Systems-Classical and Quantum Approach. Kluwer Academic, Dordrecht (1997)
Dong, Q., Torres-Arenas, A.J., Sun, G.H., Dong, S.H.: . Front. Phys. 15, 11602 (2020)
Barnett, S.M., Radmore, P.M.: Methods in Theoretical Quantum Optics, pp 67–80. Oxford University Press, New York (1997)
Harikrishnan, S., Jambulingam, S., Rohde, P.P., Radhakrishnan, C.: . Phys. Rev. A 105, 052403 (2022)
Glauber, J.R.: . Phys. Rev. 131, 2766 (1963)
Sudarshan, E.C.G.: . Phys. Rev. Lett. 10, 277 (1963)
Klauder, J.R.: . J. Math. Phys. 4, 1055 (1963)
Hu, M.L., Hu, X., Wang, J., Zhang, Y.R., Fan, H.: . Phys. Rep. 762, 1 (2018)
Acknowledgments
This work is supported by the National Natural Science Foundation of China (Grant Nos. 12205133), LJKQZ20222315 and 2021BSL013.
Author information
Authors and Affiliations
Contributions
All the authors were involved in the preparation of the manuscript. All the authors have read and approved the final manuscript.
Corresponding authors
Ethics declarations
Conflict of Interests
The authors have no relevant financial or non-financial interests to disclose.
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Wu, SM., Liu, DD., Wang, CX. et al. Entanglement of Hybrid State in Noninertial Frame. Int J Theor Phys 62, 39 (2023). https://doi.org/10.1007/s10773-023-05297-w
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10773-023-05297-w