Skip to main content
Top
Published in: Quantum Information Processing 8/2023

01-08-2023

Entanglement of two quantum dots with dipole–dipole interaction coupled to a cavity in plasmonic waveguide system

Authors: Ju-Song Ryom, Gang-Yong Ri, Nam-Chol Kim, Myong-Chol Ko, Su-Ryon Ri, Song-Il Choe

Published in: Quantum Information Processing | Issue 8/2023

Log in

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

search-config
loading …

Abstract

We investigate quantum entanglement between two quantum dots (QDs) with dipole–dipole interaction (DDI) in plasmonic waveguide system where a cavity is coupled to the QDs but decoupled from the waveguide. The real-space Hamiltonian and the concurrence are used in describing the composite quantum system and quantifying the entanglement, respectively. We analyze the influence of DDI on the entanglement and propose several effective schemes to achieve high entanglement by modulating the incident frequency, the resonant frequency of the cavity, the QD-cavity coupling strength and so on. Moreover, we demonstrate that coupling between the QDs and the cavity can enhance the entanglement of two QDs.

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!

Literature
1.
go back to reference Yin, Z.Q., Li, H.W., Yao, Y., Zhang, C.M., Wang, S., Chen, W., Guo, G.C., Han, Z.F.: Counterfactual quantum cryptography based on weak coherent states. Phys. Rev. A 86, 022313 (2012)ADSCrossRef Yin, Z.Q., Li, H.W., Yao, Y., Zhang, C.M., Wang, S., Chen, W., Guo, G.C., Han, Z.F.: Counterfactual quantum cryptography based on weak coherent states. Phys. Rev. A 86, 022313 (2012)ADSCrossRef
2.
go back to reference Epping, M., Kampermann, H., Macchiavello, C., Bruß, D.: Multi-partite entanglement can speed up quantum key distribution in networks. New J. Phys. 19, 093012 (2017)ADSMathSciNetCrossRefMATH Epping, M., Kampermann, H., Macchiavello, C., Bruß, D.: Multi-partite entanglement can speed up quantum key distribution in networks. New J. Phys. 19, 093012 (2017)ADSMathSciNetCrossRefMATH
3.
go back to reference M. A. Nielsen, Chuang, I. L. : Quantum Computation and Quantum Information,” 10th Anniversary ed. Cambridge: Cambridge University Press (2011). M. A. Nielsen, Chuang, I. L. : Quantum Computation and Quantum Information,” 10th Anniversary ed. Cambridge: Cambridge University Press (2011).
4.
go back to reference Yin, J., Ren, J.G., Lu, H., Cao, Y., Yong, H.L., Wu, Y.P., Liu, C., Liao, S.K., Zhou, F., Jiang, Y., Cai, X.D., Xu, P., Pan, G.S., Jia, J.J., Huang, Y.M., Yin, H., Wang, J.Y., Chen, Y.A., Peng, C.Z., Pan, J.W.: Quantum teleportation and entanglement distribution over 100-kilometre free-space channels. Nature 488, 185–188 (2012)ADSCrossRef Yin, J., Ren, J.G., Lu, H., Cao, Y., Yong, H.L., Wu, Y.P., Liu, C., Liao, S.K., Zhou, F., Jiang, Y., Cai, X.D., Xu, P., Pan, G.S., Jia, J.J., Huang, Y.M., Yin, H., Wang, J.Y., Chen, Y.A., Peng, C.Z., Pan, J.W.: Quantum teleportation and entanglement distribution over 100-kilometre free-space channels. Nature 488, 185–188 (2012)ADSCrossRef
8.
go back to reference Chen, G.-Y., Lambert, N., Chou, C.-H., Chen, Y.-N., Nori, F.: Surface plasmons in a metal nanowire coupled to colloidal quantum dots: Scattering properties and quantum entanglement. Phys. Rev. B 84, 045310 (2011)ADSCrossRef Chen, G.-Y., Lambert, N., Chou, C.-H., Chen, Y.-N., Nori, F.: Surface plasmons in a metal nanowire coupled to colloidal quantum dots: Scattering properties and quantum entanglement. Phys. Rev. B 84, 045310 (2011)ADSCrossRef
9.
go back to reference Gonzalez-Tudela, A., Martin-Cano, D., Moreno, E., Martin-Moreno, L., Tejedor, C., Garcia-Vidal, F.J.: Entanglement of two qubits mediated by one-dimensional plasmonic waveguides. Phys. Rev. Lett. 106, 020501 (2011)ADSCrossRef Gonzalez-Tudela, A., Martin-Cano, D., Moreno, E., Martin-Moreno, L., Tejedor, C., Garcia-Vidal, F.J.: Entanglement of two qubits mediated by one-dimensional plasmonic waveguides. Phys. Rev. Lett. 106, 020501 (2011)ADSCrossRef
10.
go back to reference Chang, D.E., Sørensen, A.S., Hemmer, P.R., Lukin, M.D.: Quantum optics with surface plasmons. Phys. Rev. Lett. 97, 053002 (2006)ADSCrossRef Chang, D.E., Sørensen, A.S., Hemmer, P.R., Lukin, M.D.: Quantum optics with surface plasmons. Phys. Rev. Lett. 97, 053002 (2006)ADSCrossRef
11.
go back to reference Li, Q., Wei, H., Xu, H.: Resolving single plasmons generated by multiquantum-emitters on a silver nanowire. Nano Lett. 14, 3358–3363 (2014)ADSCrossRef Li, Q., Wei, H., Xu, H.: Resolving single plasmons generated by multiquantum-emitters on a silver nanowire. Nano Lett. 14, 3358–3363 (2014)ADSCrossRef
12.
go back to reference Akimov, A.V., Mukherjee, A., Yu, C.L., Chang, D.E., Zibrov, A.S., Hemmer, P.R., Park, H., Lukin, M.D.: Generation of single optical plasmons in metallic nanowires coupled to quantum dots. Nature 450, 402–406 (2007)ADSCrossRef Akimov, A.V., Mukherjee, A., Yu, C.L., Chang, D.E., Zibrov, A.S., Hemmer, P.R., Park, H., Lukin, M.D.: Generation of single optical plasmons in metallic nanowires coupled to quantum dots. Nature 450, 402–406 (2007)ADSCrossRef
13.
go back to reference Bozhevolnyi, S.I., Volkov, V.S., Devaux, E., Laluet, J.-Y., Ebbesen, T.W.: Channel plasmon subwavelength waveguide components including interferometers and ring resonators. Nature 440, 508–511 (2006)ADSCrossRef Bozhevolnyi, S.I., Volkov, V.S., Devaux, E., Laluet, J.-Y., Ebbesen, T.W.: Channel plasmon subwavelength waveguide components including interferometers and ring resonators. Nature 440, 508–511 (2006)ADSCrossRef
14.
go back to reference Van Loo, A.F., Fedorov, A., Lalumière, K., Sanders, B.C., Blais, A., Wallraff, A.: Photon-mediated interactions between distant artificial atoms. Science 342, 1494–1496 (2013)ADSCrossRef Van Loo, A.F., Fedorov, A., Lalumière, K., Sanders, B.C., Blais, A., Wallraff, A.: Photon-mediated interactions between distant artificial atoms. Science 342, 1494–1496 (2013)ADSCrossRef
15.
go back to reference Zheng, H., Gauthier, D.J., Baranger, H.U.: Waveguide-qed-based photonic quantum computation. Phys. Rev. Lett. 111, 090502 (2013)ADSCrossRef Zheng, H., Gauthier, D.J., Baranger, H.U.: Waveguide-qed-based photonic quantum computation. Phys. Rev. Lett. 111, 090502 (2013)ADSCrossRef
16.
go back to reference Dzsotjan, D., Sørensen, A.S., Fleischhauer, M.: Quantum emitters coupled to surface plasmons of a nanowire: A Green’s function approach. Phys. Rev. B 82, 075427 (2010)ADSCrossRef Dzsotjan, D., Sørensen, A.S., Fleischhauer, M.: Quantum emitters coupled to surface plasmons of a nanowire: A Green’s function approach. Phys. Rev. B 82, 075427 (2010)ADSCrossRef
17.
go back to reference Andersen, M.L., Stobbe, S., Sørensen, A.S., Lodahl, P.: Strongly modified plasmon-matter interaction with mesoscopic quantum emitters. Nat. Phys. 7, 215–218 (2011)CrossRef Andersen, M.L., Stobbe, S., Sørensen, A.S., Lodahl, P.: Strongly modified plasmon-matter interaction with mesoscopic quantum emitters. Nat. Phys. 7, 215–218 (2011)CrossRef
18.
go back to reference Quan, Q., Bulu, I., Loncar, M.: Broadband waveguide QED system on a chip. Phys. Rev. A 80, 011810 (2009)ADSCrossRef Quan, Q., Bulu, I., Loncar, M.: Broadband waveguide QED system on a chip. Phys. Rev. A 80, 011810 (2009)ADSCrossRef
19.
go back to reference Kim, N.-C., Ko, M.-C., Wang, Q.-Q.: Single plasmon switching with n quantum dots system coupled to one-dimensional waveguide. Plasmonics 10, 611–615 (2015)CrossRef Kim, N.-C., Ko, M.-C., Wang, Q.-Q.: Single plasmon switching with n quantum dots system coupled to one-dimensional waveguide. Plasmonics 10, 611–615 (2015)CrossRef
20.
go back to reference Ko, M.-C., Kim, N.-C., Ho, N.-C., Ryom, J.-S., Hao, Z.-H., Li, J.-B., Wang, Q.-Q.: Influence of the flip-flop interaction on a single plasmon transport in 1D waveguide. Appl. Phys. B 123, 287 (2017)ADSCrossRef Ko, M.-C., Kim, N.-C., Ho, N.-C., Ryom, J.-S., Hao, Z.-H., Li, J.-B., Wang, Q.-Q.: Influence of the flip-flop interaction on a single plasmon transport in 1D waveguide. Appl. Phys. B 123, 287 (2017)ADSCrossRef
21.
go back to reference Qiu, D.-X., Bai, R., Zhang, C., Xin, L.-F., Zou, X.-Y., Zhang, Y.Q., Jin, X.R., An, C., Zhang, S.: Unidirectional reflectionlessness in a non-Hermitian quantum system of surface plasmon coupled to two plasmonic cavities. Quantum Inf. Process. 18, 28 (2019)ADSCrossRefMATH Qiu, D.-X., Bai, R., Zhang, C., Xin, L.-F., Zou, X.-Y., Zhang, Y.Q., Jin, X.R., An, C., Zhang, S.: Unidirectional reflectionlessness in a non-Hermitian quantum system of surface plasmon coupled to two plasmonic cavities. Quantum Inf. Process. 18, 28 (2019)ADSCrossRefMATH
22.
go back to reference Gonzalez-Ballestero, C., Moreno, E., Garcia-Vidal, F.J.: Generation, manipulation, and detection of two-qubit entanglement in waveguide QED. Phys. Rev. A 89, 042328 (2014). Gonzalez-Ballestero, C., Moreno, E., Garcia-Vidal, F.J.: Generation, manipulation, and detection of two-qubit entanglement in waveguide QED. Phys. Rev. A 89, 042328 (2014).
23.
go back to reference Mirza, I.M., Schotland, J.C.: Multi-qubit entanglement in bidirectional-chiral-waveguide QED. Phys. Rev. A 94, 012302 (2016)ADSCrossRef Mirza, I.M., Schotland, J.C.: Multi-qubit entanglement in bidirectional-chiral-waveguide QED. Phys. Rev. A 94, 012302 (2016)ADSCrossRef
24.
go back to reference Jin, X.R., Sun, L., Yang, X., Gao, J.: Quantum entanglement in plasmonic waveguides with near-zero mode indices. Opt. Lett. 38, 4078 (2013)ADSCrossRef Jin, X.R., Sun, L., Yang, X., Gao, J.: Quantum entanglement in plasmonic waveguides with near-zero mode indices. Opt. Lett. 38, 4078 (2013)ADSCrossRef
25.
go back to reference Li, Y., Nemilentsau, A., Argyropoulos, C.: Resonance energy transfer and quantum entanglement mediated by epsilon-near-zero and other plasmonic waveguide systems. Nanoscale 11, 14635–14647 (2019)CrossRef Li, Y., Nemilentsau, A., Argyropoulos, C.: Resonance energy transfer and quantum entanglement mediated by epsilon-near-zero and other plasmonic waveguide systems. Nanoscale 11, 14635–14647 (2019)CrossRef
26.
go back to reference Ko, M.-C., Kim, N.-C., Ryom, J.-S., Ri, S.-R., Li, J.-B.: Entanglement of two distant quantum dots with the flip-flop interaction coupled to plasmonic waveguide. Int. J. Mod. Phys. B 33, 1950235 (2019)ADSCrossRefMATH Ko, M.-C., Kim, N.-C., Ryom, J.-S., Ri, S.-R., Li, J.-B.: Entanglement of two distant quantum dots with the flip-flop interaction coupled to plasmonic waveguide. Int. J. Mod. Phys. B 33, 1950235 (2019)ADSCrossRefMATH
27.
go back to reference Ryom, J.-S., Ko, M.-C., Kim, N.-C., Kim, G.-I., Choe, S.-I., Kim, S.-G.: Entanglement created in three-quantum dot system coupled to plasmonic waveguide. Int. J. Mod. Phys. B 34, 2050190 (2020)ADSCrossRefMATH Ryom, J.-S., Ko, M.-C., Kim, N.-C., Kim, G.-I., Choe, S.-I., Kim, S.-G.: Entanglement created in three-quantum dot system coupled to plasmonic waveguide. Int. J. Mod. Phys. B 34, 2050190 (2020)ADSCrossRefMATH
28.
go back to reference Ryom, J.-S., Ko, M.-C., Kim, N.-C., Choe, S.-I., Kim, C.-G., Kim, S.-G.: Pairwise and bipartite entanglements of three non-equally separated quantum dots in plasmonic nanowaveguide system. Plasmonics 16, 1577–1582 (2021)CrossRef Ryom, J.-S., Ko, M.-C., Kim, N.-C., Choe, S.-I., Kim, C.-G., Kim, S.-G.: Pairwise and bipartite entanglements of three non-equally separated quantum dots in plasmonic nanowaveguide system. Plasmonics 16, 1577–1582 (2021)CrossRef
29.
go back to reference Walther, H., Varcoe, B.T.H., Englert, B.-G., Becker, T.: Cavity quantum electrodynamics. Rep. Prog. Phys. 69, 1325 (2006)ADSCrossRef Walther, H., Varcoe, B.T.H., Englert, B.-G., Becker, T.: Cavity quantum electrodynamics. Rep. Prog. Phys. 69, 1325 (2006)ADSCrossRef
30.
go back to reference Bao, X.-X., Guo, G.-F., Tan, L.: Quantum router modulated by the dipole-dipole interaction in a X-shaped coupled cavity array. Euro. Phys. J. D 73, 133 (2019)ADSCrossRef Bao, X.-X., Guo, G.-F., Tan, L.: Quantum router modulated by the dipole-dipole interaction in a X-shaped coupled cavity array. Euro. Phys. J. D 73, 133 (2019)ADSCrossRef
31.
go back to reference Kim, N.-C., Ko, M.-C.: Switching of a single photon by two λ-type three-level quantum dots embedded in cavities coupling to one-dimensional waveguide. Plasmonics 10, 605–610 (2015)CrossRef Kim, N.-C., Ko, M.-C.: Switching of a single photon by two λ-type three-level quantum dots embedded in cavities coupling to one-dimensional waveguide. Plasmonics 10, 605–610 (2015)CrossRef
32.
go back to reference Kim, N.-C., Ko, M.-C., Choe, S.-I., Hao, Z.-H., Zhou, L., Li, J.-B., Im, S.-J., Ko, Y.-H., Jo, C.-G., Wang, Q.-Q.: Transport properties of a single plasmon interacting with a hybrid exciton of a metal nanoparticle-semiconductor quantum dot system coupled to a plasmonic waveguide. Nanotechnology 27, 465703 (2016)ADSCrossRef Kim, N.-C., Ko, M.-C., Choe, S.-I., Hao, Z.-H., Zhou, L., Li, J.-B., Im, S.-J., Ko, Y.-H., Jo, C.-G., Wang, Q.-Q.: Transport properties of a single plasmon interacting with a hybrid exciton of a metal nanoparticle-semiconductor quantum dot system coupled to a plasmonic waveguide. Nanotechnology 27, 465703 (2016)ADSCrossRef
33.
go back to reference Kuo, P.-C., Chen, G.-Y., Chen, Y.-N.: Scattering of nanowire surface plasmons coupled to quantum dots with azimuthal angle difference. Sci. Rep. 6, 37766 (2016)ADSCrossRef Kuo, P.-C., Chen, G.-Y., Chen, Y.-N.: Scattering of nanowire surface plasmons coupled to quantum dots with azimuthal angle difference. Sci. Rep. 6, 37766 (2016)ADSCrossRef
34.
go back to reference Cheng, M.-T., Ma, X.-S., Ding, M.-T., Luo, Y.-Q., Zhao, G.-X.: Single-photon transport in one dimensional coupled-resonator waveguide with local and nonlocal coupling to a nanocavity containing a two-level system. Phys. Rev. A 85, 053840 (2012)ADSCrossRef Cheng, M.-T., Ma, X.-S., Ding, M.-T., Luo, Y.-Q., Zhao, G.-X.: Single-photon transport in one dimensional coupled-resonator waveguide with local and nonlocal coupling to a nanocavity containing a two-level system. Phys. Rev. A 85, 053840 (2012)ADSCrossRef
35.
go back to reference Agarwal, G. S.: Quantum optics.Cambridge: Cambridge University Press (2013). Agarwal, G. S.: Quantum optics.Cambridge: Cambridge University Press (2013).
36.
go back to reference Yu, X.-Y., Li, J.-H.: The effect of dipole-dipole interactions on the single-photon transmission spectrum. Euro. Phys. J. D 67, 177 (2013)ADSCrossRef Yu, X.-Y., Li, J.-H.: The effect of dipole-dipole interactions on the single-photon transmission spectrum. Euro. Phys. J. D 67, 177 (2013)ADSCrossRef
37.
go back to reference Cheng, M.-T., Xu, J., Agarwal, G.S.: Waveguide transport mediated by strong coupling with atoms. Phys. Rev. A 95, 053807 (2017)ADSCrossRef Cheng, M.-T., Xu, J., Agarwal, G.S.: Waveguide transport mediated by strong coupling with atoms. Phys. Rev. A 95, 053807 (2017)ADSCrossRef
38.
go back to reference Shen, J.-T., Fan, S.: Theory of single-photon transport in a single-mode waveguide. I. coupling to a cavity containing a two-level atom. Phys. Rev. A 79, 023837 (2009)ADSCrossRef Shen, J.-T., Fan, S.: Theory of single-photon transport in a single-mode waveguide. I. coupling to a cavity containing a two-level atom. Phys. Rev. A 79, 023837 (2009)ADSCrossRef
39.
go back to reference Coffman, V., Kundu, J., Wootters, W.K.: Distributed entanglement. Phys. Rev. A 61, 052306 (2000)ADSCrossRef Coffman, V., Kundu, J., Wootters, W.K.: Distributed entanglement. Phys. Rev. A 61, 052306 (2000)ADSCrossRef
Metadata
Title
Entanglement of two quantum dots with dipole–dipole interaction coupled to a cavity in plasmonic waveguide system
Authors
Ju-Song Ryom
Gang-Yong Ri
Nam-Chol Kim
Myong-Chol Ko
Su-Ryon Ri
Song-Il Choe
Publication date
01-08-2023
Publisher
Springer US
Published in
Quantum Information Processing / Issue 8/2023
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-023-04019-9

Other articles of this Issue 8/2023

Quantum Information Processing 8/2023 Go to the issue