Abstract
We demonstrate experimentally the simultaneous generation and detection of two types of continuous variable nonclassical states from one type-0 phase-matching optical parametric amplifcation (OPA) and subsequent two ring flter cavities (RFCs). The output feld of the OPA includes the baseband ω0 and sideband modes ω0± nωf subjects to the cavity resonance condition, which are separated by two cascaded RFCs. The first RFC resonates with half the pump wavelength ω0 and the transmitted baseband component is a squeezed state. The refected felds of the frst RFC, including the sideband modes ω0± ωf, are separated by the second RFC, construct Einstein–Podolsky–Rosen entangled state. All freedoms, including the filter cavities for sideband separation and relative phases for the measurements of these sidebands, are actively stabilized. The noise variance of squeezed states is 10.2 dB below the shot noise limit (SNL), the correlation variances of both quadrature amplitude-sum and quadrature phase-diference for the entanglement state are 10.0 dB below the corresponding SNL.
Similar content being viewed by others
References
S. L. Braunstein and P. van Loock, Quantum information with continuous variables, Rev. Mod. Phys. 77(2), 513 (2005)
S. Liu, Y. Lou, and J. Jing, Orbital angular momentum multiplexed deterministic all-optical quantum teleportation, Nat. Commun. 11(1), 3875 (2020)
S. Shi, L. Tian, Y. Wang, Y. Zheng, C. Xie, and K. Peng, Demonstration of channel multiplexing quantum communication exploiting entangled sideband modes, Phys. Rev. Lett. 125(7), 070502 (2020)
X. Y. Li, Q. Pan, J. T. Jing, J. Zhang, C. D. Xie, and K. C. Peng, Quantum dense coding exploiting a bright Einstein-Podolsky-Rosen beam, Phys. Rev. Lett. 88(4), 047904 (2002)
J. T. Jing, J. Zhang, Y. Yan, F. G. Zhao, C. D. Xie, and K. C. Peng, Experimental demonstration of tripartite entanglement and controlled dense coding for continuous variables, Phys. Rev. Lett. 90(16), 167903 (2003)
X. Pan, S. Yu, Y. Zhou, K. Zhang, K. Zhang, S. Lv, S. Li, W. Wang, and J. Jing, Orbital-angular-momentum multiplexed continuous-variable entanglement from fourwave mixing in hot atomic vapor, Phys. Rev. Lett. 123(7), 070506 (2019)
S. Pirandola, J. Eisert, C. Weedbrook, A. Furusawa, and S. L. Braunstein, Advances in quantum teleportation, Nat. Photonics 9(10), 641 (2015)
R. Schnabel, N. Mavalvala, D. E. McClelland, and P. K. Lam, Quantum metrology for gravitational wave astronomy, Nat. Commun. 1(1), 121 (2010)
F. Hudelist, J. Kong, C. Liu, J. Jing, Z. Y. Ou, and W. Zhang, Quantum metrology with parametric amplifierbased photon correlation interferometers, Nat. Commun. 5(1), 3049 (2014)
K. Goda, O. Miyakawa, E. E. Mikhailov, S. Saraf, R. Adhikari, K. McKenzie, R. Ward, S. Vass, A. J. Weinstein, and N. Mavalvala, A quantum enhanced prototype gravitational-wave detector, Nat. Phys. 4(6), 472 (2008)
H. Grote, K. Danzmann, K. L. Dooley, R. Schnabel, J. Slutsky, and H. Vahlbruch, First long-term application of squeezed states of light in a gravitational-wave observatory, Phys. Rev. Lett. 110(18), 181101 (2013)
T. Eberle, S. Steinlechner, J. Bauchrowitz, V. Händchen, H. Vahlbruch, M. Mehmet, H. Müller-Ebhardt, and R. Schnabel, Quantum enhancement of the zero-area sagnac interferometer topology for gravitational wave detection, Phys. Rev. Lett. 104(25), 251102 (2010)
A. Thüring, R. Schnabel, H. Lück, and K. Danzmann, Detuned twin-signal-recycling for ultrahigh-precision interferometers, Opt. Lett. 32(8), 985 (2007)
Q. Zhuang, Z. Zhang, and J. H. Shapiro, Distributed quantum sensing using continuous-variable multipartite entanglement, Phys. Rev. A 97(3), 032329 (2018)
S. Liu, Y. Lou, and J. Jing, Interference-induced quantum squeezing enhancement in a two-beam phase-sensitive amplifer, Phys. Rev. Lett. 123(11), 113602 (2019)
C. Xu, L. Zhang, S. Huang, T. Ma, F. Liu, H. Yonezawa, Y. Zhang, and M. Xiao, Sensing and tracking enhanced by quantum squeezing, Photon. Res. 7(6), A14 (2019)
R. Raussendorf and H. J. Briegel, A one-way quantum computer, Phys. Rev. Lett. 86(22), 5188 (2001)
M. V. Larsen, X. S. Guo, C. R. Breum, J. S. Neergaard-Nielsen, and U. L. Andersen, Deterministic generation of a two-dimensional cluster state, Science 366(6463), 369 (2019)
W. Asavanant, Y. Shiozawa, S. Yokoyama, B. Charoensombutamon, H. Emura, R. N. Alexander, S. Takeda, J. Yoshikawa, N. C. Menicucci, H. Yonezawa, and A. Furusawa, Generation of time-domain-multiplexed two-dimensional cluster state, Science 366(6463), 373 (2019)
Z. Y. Ou, S. F. Pereira, and H. J. Kimble, Quantum noise reduction in optical amplifcation, Phys. Rev. Lett. 70(21), 3239 (1993)
S. Suzuki, H. Yonezawa, F. Kannari, M. Sasaki, and A. Furusawa, 7 dB quadrature squeezing at 860 nm with periodically poled KTiOPO4, Appl. Phys. Lett. 89(6), 061116 (2006)
Y. Takeno, M. Yukawa, H. Yonezawa, and A. Furusawa, Observation of -9 dB quadrature squeezing with improvement of phase stability in homodyne measurement, Opt. Express 15(7), 4321 (2007)
H. Vahlbruch, M. Mehmet, S. Chelkowski, B. Hage, A. Franzen, N. Lastzka, S. Goßler, K. Danzmann, and R. Schnabel, Observation of squeezed light with 10 dB quantum noise reduction, Phys. Rev. Lett. 100(3), 033602 (2008)
M. Mehmet, S. Ast, T. Eberle, S. Steinlechner, H. Vahlbruch, and R. Schnabel, Squeezed light at 1550 nm with a quantum noise reduction of 12.3 dB, Opt. Express 19(25), 25763 (2011)
A. Schönbeck, F. Thies, and R. Schnabel, 13 dB squeezed vacuum states at 1550 nm from 12 mW external pump power at 775 nm, Opt. Lett. 43(1), 110 (2018)
K. McKenzie, N. Grosse, W. P. Bowen, S. E. Whitcomb, M. B. Gray, D. E. McClelland, and P. K. Lam, Squeezing in the audio gravitational-wave detection band, Phys. Rev. Lett. 93(16), 161105 (2004)
T. Eberle, V. Händchen, and R. Schnabel, Stable control of 10 dB two-mode squeezed vacuum states of light, Opt. Express 21(9), 11546 (2013)
W. H. Zhang, J. R. Wang, Y. H. Zheng, Y. J. Wang, and K. C. Peng, Optimization of the squeezing factor by temperature-dependent phase shift compensation in a doubly resonant optical parametric oscillator, Appl. Phys. Lett. 115(17), 171103 (2019)
W. H. Yang, S. P. Shi, Y. J. Wang, W. G. Ma, Y. H. Zheng, and K. C. Peng, Detection of stably bright squeezed light with the quantum noise reduction of 12.6 dB by mutually compensating the phase fuctuations, Opt. Lett. 42(21), 4553 (2017)
X. C. Sun, Y. J. Wang, L. Tian, Y. H. Zheng, and K. C. Peng, Detection of 13.8 dB squeezed vacuum states by optimizing the interference efciency and gain of balanced homodyne detection, Chin. Opt. Lett. 17(7), 072701 (2019)
C. Cai, L. Ma, J. Li, H. Guo, K. Liu, H. X. Sun, R. G. Yang, and J. R. Gao, Generation of a continuous-variable quadripartite cluster state multiplexed in the spatial domain, Photon. Res. 6(5), 479 (2018)
H. Vahlbruch, M. Mehmet, K. Danzmann, and R. Schnabel, Detection of 15 dB squeezed states of light and their application for the absolute calibration of photoelectric quantum efciency, Phys. Rev. Lett. 117(11), 110801 (2016)
D. F. Walls, Squeezed states of light, Nature 306(5939), 141 (1983)
J. Roslund, R. M. de Araújo, S. Jiang, C. Fabre, and N. Treps, Wavelength-multiplexed quantum networks with ultrafast frequency combs, Nat. Photonics 8(2), 109 (2014)
E. H. Huntington, G. N. Milford, C. Robilliard, T. C. Ralph, O. Glöckl, U. L. Andersen, S. Lorenz, and G. Leuchs, Demonstration of the spatial separation of the entangled quantum sidebands of an optical feld, Phys. Rev. A 71(4), 041802(R) (2005)
B. Hage, A. Samblowski, and R. Schnabel, Towards Einstein-Podolsky-Rosen quantum channel multiplexing, Phys. Rev. A 81(6), 062301 (2010)
C. Schori, J. L. Sorensen, and E. S. Polzik, Narrow-band frequency tunable light source of continuous quadrature entanglement, Phys. Rev. A 66(3), 033802 (2002)
Y. Ma, H. Miao, B. H. Pang, M. Evans, C. Zhao, J. Harms, R. Schnabel, and Y. Chen, Proposal for gravitational-wave detection beyond the standard quantum limit through EPR entanglement, Nat. Phys. 13(8), 776 (2017)
M. J. Yap, P. Altin, T. G. McRae, B. J. J. Slagmolen, R. L. Ward, and D. E. McClelland, Generation and control of frequency-dependent squeezing via Einstein-Podolsky-Rosen entanglement, Nat. Photonics 14(4), 223 (2020)
J. Südbeck, S. Steinlechner, M. Korobko, and R. Schnabel, Demonstration of interferometer enhancement through Einstein-Podolsky-Rosen entanglement, Nat. Photonics 14(4), 240 (2020)
S. P. Shi, Y. J. Wang, L. Tian, J. R. Wang, X. C. Sun, and Y. H. Zheng, Observation of a comb of squeezed states with a strong squeezing factor by a bichromatic local oscillator, Opt. Lett. 45(8), 2419 (2020)
H. J. Lee, H. Kim, M. Cha, and H. S. Moon, Simultaneous type-0 and type-II spontaneous parametric down-conversions in a single periodically poled KTiOPO4 crystal, Appl. Phys. B 108(3), 585 (2012)
M. Pysher, A. Bahabad, P. Peng, A. Arie, and O. Pfster, Quasi-phase-matched concurrent nonlinearities in periodically poled KTiOPO4 for quantum computing over the optical frequency comb, Opt. Lett. 35(4), 565 (2010)
M. R. Huo, J. L. Qin, Z. H. Yan, X. J. Jia, and K. C. Peng, Generation of two types of nonclassical optical states using an optical parametric oscillator with a PPKTP crystal, Appl. Phys. Lett. 109(22), 221101 (2016)
S. P. Shi, Y. J. Wang, W. H. Yang, Y. H. Zheng, and K. C. Peng, Detection and perfect ftting of 13.2 dB squeezed vacuum states by considering green-light-induced-infrared absorption, Opt. Lett. 43(21), 5411 (2018)
X. C. Sun, Y. J. Wang, L. Tian, S. P. Shi, Y. H. Zheng, and K. C. Peng, Dependence of the squeezing and antisqueezing factors of bright squeezed light on the seed beam power and pump beam noise, Opt. Lett. 44(7), 1789 (2019)
L. M. Duan, G. Giedke, J. I. Cirac, and P. Zoller, Inseparability criterion for continuous variable systems, Phys. Rev. Lett. 84(12), 2722 (2000)
Acknowledgments
This work was supported by the National Natural Science Foundation of China (Grant Nos. 11654002, 11804207, 11874250, and 11804206), the National Key Research and Development Program of China (Grant No. 2016YFA0301401), the Program for Sanjin Scholar of Shanxi Province, the Key Research and Development Program of Shanxi (Grant No. 201903D111001), the Fund for Shanxi 1331 Project Key Subjects Construction, the Program for Outstanding Innovative Teams of Higher Learning Institutions of Shanxi, and the Natural Science Foundation of Shanxi Province (Grant No. 201801D221006).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Tian, L., Shi, SP., Tian, YH. et al. Resource reduction for simultaneous generation of two types of continuous variable nonclassical states. Front. Phys. 16, 21502 (2021). https://doi.org/10.1007/s11467-020-1012-2
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11467-020-1012-2