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Manipulation and enhancement of asymmetric steering via down-converted nondegenerate photons

Wang, Tie, Han, Xue, Liu, Shutian, Wang, Hong-Fu·2022·AAPPS Bulletin
DOI 10.1007/s43673-022-00062-3
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Abstract

We investigate the asymmetric Gaussian steering with the nondegenerate parametric amplifier in a three-mode optomechanical system composed of two optical cavities and a mechanical oscillator. In the presence of the nondegenerate parametric amplifier, we find that the Gaussian steering between the auxiliary cavity and the mechanical resonator without direct interaction is significantly enhanced. By cooling the delocalized Bogoliubov modes over the auxiliary cavity and the mechanical oscillator, the optimal optomechanical entanglement and Gaussian steering can be realized and enhanced. Furthermore, we observe a wider range of parameters for the Gaussian steering with the case of cooling double delocalized modes. In addition, the magnitudes of the asymmetric Gaussian steering in two different directions can be adjusted by altering the decay rate of the auxiliary optical mode. Therefore, our proposal provides an effective method to manipulate and enhance the one-way Gaussian steering between the two modes.

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Fig. 1 Schematic illustration of the three-mode optomechanical system with the nondegenerate parametric amplifier, which is composed of two optical modes and a mechanical oscillator. There are the beam-splitter-type interaction and the parametric-down-converted-type interaction between two optical modes
Fig. 1 Schematic illustration of the three-mode optomechanical system with the nondegenerate parametric amplifier, which is composed of two optical modes and a mechanical oscillator. There are the beam-splitter-type interaction and the parametric-down-converted-type interaction between two optical modesCC-BY · From the PDF
Fig. 2 The steady-state optomechanical entanglement E N ( b , a 2 ) and steering parameters G b → a 2 and G a 2 → b versus the optomechanical coupling strength G for a afii9838 = 0 and b afii9838 = 0.2 ω m . The other parameters are Delta1 1 = -Delta1 2 = ω m , κ 1 = 0.9 ω m , κ 2 = γ m = 0.01 ω m , and J = 0.5 ω m
Fig. 2 The steady-state optomechanical entanglement E N ( b , a 2 ) and steering parameters G b → a 2 and G a 2 → b versus the optomechanical coupling strength G for a afii9838 = 0 and b afii9838 = 0.2 ω m . The other parameters are Delta1 1 = -Delta1 2 = ω m , κ 1 = 0.9 ω m , κ 2 = γ m = 0.01 ω m , and J = 0.5 ω mCC-BY · From the PDF
Fig. 3 The steady-state population number of a the Bogoliubov mode 〈 β † 1 β 1 〉 and b the steady-state population number of the photon mode 〈 a † 1 a 1 〉 versus the optomechanical coupling strength G and gain afii9838 for J = 0.5 ω m . The other parameters are the same as Fig. 2
Fig. 3 The steady-state population number of a the Bogoliubov mode 〈 β † 1 β 1 〉 and b the steady-state population number of the photon mode 〈 a † 1 a 1 〉 versus the optomechanical coupling strength G and gain afii9838 for J = 0.5 ω m . The other parameters are the same as Fig. 2CC-BY · From the PDF
Fig. 4 a Steady-state optomechanical entanglement E N , b Gaussian steering G b → a 2 , and c G a 2 → b versus the optomechanical coupling strength G and gain afii9838 for J = 0.5 ω m . The other parameters are the same as Fig. 2
Fig. 4 a Steady-state optomechanical entanglement E N , b Gaussian steering G b → a 2 , and c G a 2 → b versus the optomechanical coupling strength G and gain afii9838 for J = 0.5 ω m . The other parameters are the same as Fig. 2CC-BY · From the PDF
Fig. 5 The steady-state Gaussian steering a G b → a 2 and b G a 2 → b versus the optomechanical coupling strength G and gain afii9838 / G for J = G 2 / afii9838 . The other parameters are the same as Fig. 2
Fig. 5 The steady-state Gaussian steering a G b → a 2 and b G a 2 → b versus the optomechanical coupling strength G and gain afii9838 / G for J = G 2 / afii9838 . The other parameters are the same as Fig. 2CC-BY · From the PDF
Fig. 6 The steady-state Gaussian steering a G b → a 2 and b G a 2 → b versus the mean thermal phonon number n th . We set G = 2 ω m , J = G 2 / afii9838 , and the other parameters are the same as Fig. 2
Fig. 6 The steady-state Gaussian steering a G b → a 2 and b G a 2 → b versus the mean thermal phonon number n th . We set G = 2 ω m , J = G 2 / afii9838 , and the other parameters are the same as Fig. 2CC-BY · From the PDF
Fig. 7 The steady-state optomechanical entanglement E N and Gaussian steering G b → a 2 and G a 2 → b versus the optomechanical coupling strength G for a κ 2 = 0.1 ω m and b κ 2 = 0.001 ω m . We set afii9838 = 0.5 G , J = G 2 / afii9838 , and the other parameters are same as Fig. 2
Fig. 7 The steady-state optomechanical entanglement E N and Gaussian steering G b → a 2 and G a 2 → b versus the optomechanical coupling strength G for a κ 2 = 0.1 ω m and b κ 2 = 0.001 ω m . We set afii9838 = 0.5 G , J = G 2 / afii9838 , and the other parameters are same as Fig. 2CC-BY · From the PDF

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Metadata

Authors
Wang, T., Han, X., Liu, S., & Wang, H.-F.
ORCID
Wang, Hong-Fu
Venue
AAPPS Bulletin
Publisher
Springer Science and Business Media LLC
Published
2022-10-27
Volume
32
Issue
1
ISSN
2309-4710
DOI
10.1007/s43673-022-00062-3
Cited by
3
References
0
Language
en
Licence
Funders
National Natural Science Foundation of China (12074330, 61575055, 11874132)

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Wang, T., Han, X., Liu, S., & Wang, H.-F. (2022). Manipulation and enhancement of asymmetric steering via down-converted nondegenerate photons. AAPPS Bulletin. https://doi.org/10.1007/s43673-022-00062-3