Unconventional photon blockade induced by the self-Kerr and cross-Kerr nonlinearities
Received date: 16 Apr 2022
Accepted date: 12 Oct 2022
Published date: 15 Feb 2023
Copyright
We study the use of the self-Kerr and cross-Kerr nonlinearities to realize strong photon blockade in a weakly driven, four-mode optomechanical system. According to the Born−Oppenheimer approximation, we obtain the cavity self-Kerr coupling and the inter-cavity cross-Kerr coupling, adiabatically separated from the mechanical oscillator. Through minimizing the second-order correlation function, we find out the optimal parameter conditions for the unconventional photon blockade. Under the optimal conditions, the strong photon blockade can appear in the strong or weak nonlinearities.
Ling-Juan Feng , Li Yan , Shang-Qing Gong . Unconventional photon blockade induced by the self-Kerr and cross-Kerr nonlinearities[J]. Frontiers of Physics, 2023 , 18(1) : 12304 . DOI: 10.1007/s11467-022-1213-y
1 |
T. J. Kippenberg, K. J. Vahala. Cavity optomechanics: Back-action at the mesoscale. Science, 2008, 321(5893): 1172
|
2 |
M. Aspelmeyer, P. Meystre, K. Schwab. Quantum optomechanics. Phys. Today, 2012, 65(7): 29
|
3 |
M. Aspelmeyer, T. J. Kippenberg, F. Marquardt. Cavity optomechanics. Rev. Mod. Phys., 2014, 86(4): 1391
|
4 |
P. Rabl. Photon blockade effect in optomechanical systems. Phys. Rev. Lett., 2011, 107(6): 063601
|
5 |
A. Nunnenkamp, K. Børkje, S. M. Girvin. Single-photon optomechanics. Phys. Rev. Lett., 2011, 107(6): 063602
|
6 |
G. Li, T. Wang, H. S. Song. Amplification effects in optomechanics via weak measurements. Phys. Rev. A, 2014, 90(1): 013827
|
7 |
Z. Y. Wang, A. H. Safavi-Naeini. Enhancing a slow and weak optomechanical nonlinearity with delayed quantum feedback. Nat. Commun., 2017, 8(1): 15886
|
8 |
C. Genes, A. Xuereb, G. Pupillo, A. Dantan. Enhanced optomechanical readout using optical coalescence. Phys. Rev. A, 2013, 88(3): 033855
|
9 |
T. T. Heikkilä, F. Massel, J. Tuorila, R. Khan, M. A. Sillanpää. Enhancing optomechanical coupling via the Josephson effect. Phys. Rev. Lett., 2014, 112(20): 203603
|
10 |
J. M. Pirkkalainen, S. U. Cho, F. Massel, J. Tuorila, T. T. Heikkilä, P. J. Hakonen, M. A. Sillanpää. Cavity optomechanics mediated by a quantum two-level system. Nat. Commun., 2015, 6(1): 6981
|
11 |
D. Bothner, I. C. Rodrigues, G. A. Steele. Photon-pressure strong coupling between two superconducting circuits. Nat. Phys., 2021, 17(1): 85
|
12 |
X. Y. Lü, Y. Wu, J. R. Johansson, H. Jing, J. Zhang, F. Nori. Squeezed optomechanics with phase-matched amplification and dissipation. Phys. Rev. Lett., 2015, 114(9): 093602
|
13 |
M. A. Lemonde, N. Didier, A. A. Clerk. Enhanced nonlinear interactions in quantum optomechanics via mechanical amplification. Nat. Commun., 2016, 7(1): 11338
|
14 |
T. S. Yin, X. Y. Lü, L. L. Zheng, M. Wang, S. Li, Y. Wu. Nonlinear effects in modulated quantum optomechanics. Phys. Rev. A, 2017, 95(5): 053861
|
15 |
L. J. Feng, S. Q. Gong. Two-photon blockade generated and enhanced by mechanical squeezing. Phys. Rev. A, 2021, 103(4): 043509
|
16 |
D. L. Chen, Y. H. Chen, Y. Liu, Z. C. Shi, J. Song, Y. Xia. Detecting a single atom in a cavity using the χ(2) nonlinear medium. Front. Phys., 2022, 17(5): 52501
|
17 |
T. C. H. Liew, V. Savona. Single photons from coupled quantum modes. Phys. Rev. Lett., 2010, 104(18): 183601
|
18 |
M. Bamba, A. Imamoğlu, I. Carusotto, C. Ciuti. Origin of strong photon antibunching in weakly nonlinear photonic molecules. Phys. Rev. A, 2011, 83(2): 021802(R)
|
19 |
C. Vaneph, A. Morvan, G. Aiello, M. Féchant, M. Aprili, J. Gabelli, J. Estéve. Observation of the unconventional photon blockade in the microwave domain. Phys. Rev. Lett., 2018, 121(4): 043602
|
20 |
H. J. Snijders, J. A. Frey, J. Norman, H. Flayac, V. Savona, A. C. Gossard, J. E. Bowers, M. P. van Exter, D. Bouwmeester, W. Löffler. Observation of the unconventional photon blockade. Phys. Rev. Lett., 2018, 121(4): 043601
|
21 |
X. W. Xu, Y. J. Li. Antibunching photons in a cavity coupled to an optomechanical system. J. Phys. At. Mol. Opt. Phys., 2013, 46(3): 035502
|
22 |
B. Sarma, A. K. Sarma. Unconventional photon blockade in three-mode optomechanics. Phys. Rev. A, 2018, 98(1): 013826
|
23 |
D. Y. Wang, C. H. Bai, S. T. Liu, S. Zhang, H. F. Wang. Photon blockade in a double-cavity optomechanical system with nonreciprocal coupling. New J. Phys., 2020, 22(9): 093006
|
24 |
F. Zou, L. B. Fan, J. F. Huang, J. Q. Liao. Enhancement of few-photon optomechanical effects with cross-Kerr nonlinearity. Phys. Rev. A, 2019, 99(4): 043837
|
25 |
J. Q. Liao, J. F. Huang, L. Tian, L. M. Kuang, C. P. Sun. Generalized ultrastrong optomechanical-like coupling. Phys. Rev. A, 2020, 101(6): 063802
|
26 |
Y. M. Wang, G. Q. Zhang, W. L. You. Photon blockade with cross-Kerr nonlinearity in superconducting circuits. Laser Phys. Lett., 2018, 15(10): 105201
|
27 |
J. Y. Yang, Z. Yang, C. S. Zhao, R. Peng, S. L. Chao, L. Zhou. Nonlinearity enhancement and photon blockade in hybrid optomechanical systems. Opt. Express, 2021, 29(22): 36167
|
28 |
Y. B. Qian, D. G. Lai, M. R. Chen, B. P. Hou. Nonreciprocal photon transmission with quantum noise reduction via cross-Kerr nonlinearity. Phys. Rev. A, 2021, 104(3): 033705
|
29 |
Z. R. Gong, H. Ian, Y. X. Liu, C. P. Sun, F. Nori. Effective Hamiltonian approach to the Kerr nonlinearity in an optomechanical system. Phys. Rev. A, 2009, 80(6): 065801
|
30 |
N. Imoto, H. A. Haus, Y. Yamamoto. Quantum nondemolition measurement of the photon number via the optical Kerr effect. Phys. Rev. A, 1985, 32(4): 2287
|
31 |
D.F. WallsG. J. Milburn, Quantum Optics, Springer-Verlag, Berlin, 1994
|
32 |
C. K. Law. Interaction between a moving mirror and radiation pressure: A Hamiltonian formulation. Phys. Rev. A, 1995, 51(3): 2537
|
33 |
F. Ruesink, M. Miri, A. Alù, E. Verhagen. Nonreciprocity and magnetic-free isolation based on optomechanical interactions. Nat. Commun., 2016, 7(1): 13662
|
34 |
N. R. Bernier, L. D. Tóth, A. Koottandavida, M. A. Ioannou, D. Malz, A. Nunnenkamp, A. K. Feofanov, T. J. Kippenberg. Nonreciprocal reconfigurable microwave optomechanical circuit. Nat. Commun., 2017, 8(1): 604
|
35 |
M. Eichenfield, J. Chan, R. M. Camacho, K. J. Vahala, O. Painter. Optomechanical crystals. Nature, 2009, 462(7269): 78
|
36 |
A. Schliesser, R. Rivière, G. Anetsberger, O. Arcizet, T. J. Kippenberg. Resolved-sideband cooling of a micromechanical oscillator. Nat. Phys., 2008, 4: 415
|
37 |
S. Gupta, K. L. Moore, K. W. Murch, D. M. Stamper-Kurn. Cavity nonlinear optics at low photon numbers from collective atomic motion. Phys. Rev. Lett., 2007, 99(21): 213601
|
38 |
F. Brennecke, S. Ritter, T. Donner, T. Esslinger. Cavity optomechanics with a Bose−Einstein condensate. Science, 2008, 322(5899): 235
|
39 |
B. Sarma, A. K. Sarma. Quantum-interference-assisted photon blockade in a cavity via parametric interactions. Phys. Rev. A, 2017, 96(5): 053827
|
/
〈 |
|
〉 |