Unconventional photon blockade induced by the self-Kerr and cross-Kerr nonlinearities

doi:10.1007/s11467-022-1213-y

Frontiers of Physics

2023, Vol. 18

Issue (1): 12304 https://doi.org/10.1007/s11467-022-1213-y

本期目录

Unconventional photon blockade induced by the self-Kerr and cross-Kerr nonlinearities

Ling-Juan Feng¹(

), Li Yan²(

), Shang-Qing Gong³(

)

¹. School of Sciences, Shanghai Institute of Technology, Shanghai 201418, China
². School of Physics and Electronic Engineering, Heze University, Heze 274015, China
³. School of Physics, East China University of Science and Technology, Shanghai 200237, China

全文: PDF(2627 KB) HTML

Abstract：

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.

Key words： unconventional photon blockade cross-Kerr nonlinearity self-Kerr nonlinearity optomechanical system

收稿日期: 2022-04-16 出版日期: 2022-11-03

Corresponding Author(s): Ling-Juan Feng,Li Yan,Shang-Qing Gong

引用本文:

. [J]. Frontiers of Physics, 2023, 18(1): 12304.
Ling-Juan Feng, Li Yan, Shang-Qing Gong. Unconventional photon blockade induced by the self-Kerr and cross-Kerr nonlinearities. Front. Phys. , 2023, 18(1): 12304.

链接本文:

https://academic.hep.com.cn/fop/CN/10.1007/s11467-022-1213-y
https://academic.hep.com.cn/fop/CN/Y2023/V18/I1/12304

Fig.1

Fig.2

Fig.3

Fig.4

Fig.5

Fig.6

Fig.7

1	J. Kippenberg T., J. Vahala K.. Cavity optomechanics: Back-action at the mesoscale. Science, 2008, 321(5893): 1172 https://doi.org/10.1126/science.1156032
2	Aspelmeyer M., Meystre P., Schwab K.. Quantum optomechanics. Phys. Today, 2012, 65(7): 29 https://doi.org/10.1063/PT.3.1640
3	Aspelmeyer M., J. Kippenberg T., Marquardt F.. Cavity optomechanics. Rev. Mod. Phys., 2014, 86(4): 1391 https://doi.org/10.1103/RevModPhys.86.1391
4	Rabl P.. Photon blockade effect in optomechanical systems. Phys. Rev. Lett., 2011, 107(6): 063601 https://doi.org/10.1103/PhysRevLett.107.063601
5	Nunnenkamp A., Børkje K., M. Girvin S.. Single-photon optomechanics. Phys. Rev. Lett., 2011, 107(6): 063602 https://doi.org/10.1103/PhysRevLett.107.063602
6	Li G., Wang T., S. Song H.. Amplification effects in optomechanics via weak measurements. Phys. Rev. A, 2014, 90(1): 013827 https://doi.org/10.1103/PhysRevA.90.013827
7	Y. Wang Z., H. Safavi-Naeini A.. Enhancing a slow and weak optomechanical nonlinearity with delayed quantum feedback. Nat. Commun., 2017, 8(1): 15886 https://doi.org/10.1038/ncomms15886
8	Genes C., Xuereb A., Pupillo G., Dantan A.. Enhanced optomechanical readout using optical coalescence. Phys. Rev. A, 2013, 88(3): 033855 https://doi.org/10.1103/PhysRevA.88.033855
9	T. Heikkilä T., Massel F., Tuorila J., Khan R., A. Sillanpää M.. Enhancing optomechanical coupling via the Josephson effect. Phys. Rev. Lett., 2014, 112(20): 203603 https://doi.org/10.1103/PhysRevLett.112.203603
10	M. Pirkkalainen J., U. Cho S., Massel F., Tuorila J., T. Heikkilä T., J. Hakonen P., A. Sillanpää M.. Cavity optomechanics mediated by a quantum two-level system. Nat. Commun., 2015, 6(1): 6981 https://doi.org/10.1038/ncomms7981
11	Bothner D., C. Rodrigues I., A. Steele G.. Photon-pressure strong coupling between two superconducting circuits. Nat. Phys., 2021, 17(1): 85 https://doi.org/10.1038/s41567-020-0987-5
12	Y. Lü X., Wu Y., R. Johansson J., Jing H., Zhang J., Nori F.. Squeezed optomechanics with phase-matched amplification and dissipation. Phys. Rev. Lett., 2015, 114(9): 093602 https://doi.org/10.1103/PhysRevLett.114.093602
13	A. Lemonde M., Didier N., A. Clerk A.. Enhanced nonlinear interactions in quantum optomechanics via mechanical amplification. Nat. Commun., 2016, 7(1): 11338 https://doi.org/10.1038/ncomms11338
14	S. Yin T., Y. Lü X., L. Zheng L., Wang M., Li S., Wu Y.. Nonlinear effects in modulated quantum optomechanics. Phys. Rev. A, 2017, 95(5): 053861 https://doi.org/10.1103/PhysRevA.95.053861
15	J. Feng L., Q. Gong S.. Two-photon blockade generated and enhanced by mechanical squeezing. Phys. Rev. A, 2021, 103(4): 043509 https://doi.org/10.1103/PhysRevA.103.043509
16	L. Chen D., H. Chen Y., Liu Y., C. Shi Z., Song J., Xia Y.. Detecting a single atom in a cavity using the χ(2) nonlinear medium. Front. Phys., 2022, 17(5): 52501 https://doi.org/10.1007/s11467-021-1151-0
17	C. H. Liew T., Savona V.. Single photons from coupled quantum modes. Phys. Rev. Lett., 2010, 104(18): 183601 https://doi.org/10.1103/PhysRevLett.104.183601
18	Bamba M., Imamoğlu A., Carusotto I., Ciuti C.. Origin of strong photon antibunching in weakly nonlinear photonic molecules. Phys. Rev. A, 2011, 83(2): 021802(R) https://doi.org/10.1103/PhysRevA.83.021802
19	Vaneph C., Morvan A., Aiello G., Féchant M., Aprili M., Gabelli J., Estéve J.. Observation of the unconventional photon blockade in the microwave domain. Phys. Rev. Lett., 2018, 121(4): 043602 https://doi.org/10.1103/PhysRevLett.121.043602
20	J. Snijders H., A. Frey J., Norman J., Flayac H., Savona V., C. Gossard A., E. Bowers J., P. van Exter M., Bouwmeester D., Löffler W.. Observation of the unconventional photon blockade. Phys. Rev. Lett., 2018, 121(4): 043601 https://doi.org/10.1103/PhysRevLett.121.043601
21	W. Xu X., J. Li Y.. Antibunching photons in a cavity coupled to an optomechanical system. J. Phys. At. Mol. Opt. Phys., 2013, 46(3): 035502 https://doi.org/10.1088/0953-4075/46/3/035502
22	Sarma B., K. Sarma A.. Unconventional photon blockade in three-mode optomechanics. Phys. Rev. A, 2018, 98(1): 013826 https://doi.org/10.1103/PhysRevA.98.013826
23	Y. Wang D., H. Bai C., T. Liu S., Zhang S., F. Wang H.. Photon blockade in a double-cavity optomechanical system with nonreciprocal coupling. New J. Phys., 2020, 22(9): 093006 https://doi.org/10.1088/1367-2630/abaa8a
24	Zou F., B. Fan L., F. Huang J., Q. Liao J.. Enhancement of few-photon optomechanical effects with cross-Kerr nonlinearity. Phys. Rev. A, 2019, 99(4): 043837 https://doi.org/10.1103/PhysRevA.99.043837
25	Q. Liao J., F. Huang J., Tian L., M. Kuang L., P. Sun C.. Generalized ultrastrong optomechanical-like coupling. Phys. Rev. A, 2020, 101(6): 063802 https://doi.org/10.1103/PhysRevA.101.063802
26	M. Wang Y., Q. Zhang G., L. You W.. Photon blockade with cross-Kerr nonlinearity in superconducting circuits. Laser Phys. Lett., 2018, 15(10): 105201 https://doi.org/10.1088/1612-202X/aad465
27	Y. Yang J., Yang Z., S. Zhao C., Peng R., L. Chao S., Zhou L.. Nonlinearity enhancement and photon blockade in hybrid optomechanical systems. Opt. Express, 2021, 29(22): 36167 https://doi.org/10.1364/OE.438227
28	B. Qian Y., G. Lai D., R. Chen M., P. Hou B.. Nonreciprocal photon transmission with quantum noise reduction via cross-Kerr nonlinearity. Phys. Rev. A, 2021, 104(3): 033705 https://doi.org/10.1103/PhysRevA.104.033705
29	R. Gong Z., Ian H., X. Liu Y., P. Sun C., Nori F.. Effective Hamiltonian approach to the Kerr nonlinearity in an optomechanical system. Phys. Rev. A, 2009, 80(6): 065801 https://doi.org/10.1103/PhysRevA.80.065801
30	Imoto N., A. Haus H., Yamamoto Y.. Quantum nondemolition measurement of the photon number via the optical Kerr effect. Phys. Rev. A, 1985, 32(4): 2287 https://doi.org/10.1103/PhysRevA.32.2287
31	F. Walls D.J. Milburn G., Quantum Optics, Springer-Verlag, Berlin, 1994
32	K. Law C.. Interaction between a moving mirror and radiation pressure: A Hamiltonian formulation. Phys. Rev. A, 1995, 51(3): 2537 https://doi.org/10.1103/PhysRevA.51.2537
33	Ruesink F., Miri M., Alù A., Verhagen E.. Nonreciprocity and magnetic-free isolation based on optomechanical interactions. Nat. Commun., 2016, 7(1): 13662 https://doi.org/10.1038/ncomms13662
34	R. Bernier N., D. Tóth L., Koottandavida A., A. Ioannou M., Malz D., Nunnenkamp A., K. Feofanov A., J. Kippenberg T.. Nonreciprocal reconfigurable microwave optomechanical circuit. Nat. Commun., 2017, 8(1): 604 https://doi.org/10.1038/s41467-017-00447-1
35	Eichenfield M., Chan J., M. Camacho R., J. Vahala K., Painter O.. Optomechanical crystals. Nature, 2009, 462(7269): 78 https://doi.org/10.1038/nature08524
36	Schliesser A., Rivière R., Anetsberger G., Arcizet O., J. Kippenberg T.. Resolved-sideband cooling of a micromechanical oscillator. Nat. Phys., 2008, 4: 415 https://doi.org/10.1038/nphys939
37	Gupta S., L. Moore K., W. Murch K., M. Stamper-Kurn D.. Cavity nonlinear optics at low photon numbers from collective atomic motion. Phys. Rev. Lett., 2007, 99(21): 213601 https://doi.org/10.1103/PhysRevLett.99.213601
38	Brennecke F., Ritter S., Donner T., Esslinger T.. Cavity optomechanics with a Bose−Einstein condensate. Science, 2008, 322(5899): 235 https://doi.org/10.1126/science.1163218
39	Sarma B., K. Sarma A.. Quantum-interference-assisted photon blockade in a cavity via parametric interactions. Phys. Rev. A, 2017, 96(5): 053827 https://doi.org/10.1103/PhysRevA.96.053827

Viewed

Full text

Abstract

Cited

Shared

Discussed