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Higher Order Squeezing in Pump Mode in Multi-wave Mixing Process

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Advances in Communication and Computational Technology (ICACCT 2019)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 668))

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Abstract

Higher order squeezing and photon statistics in pump mode in five wave mixing process has been studied under short-time interaction in nonlinear medium. A comparison of squeezing in field amplitude and higher order amplitude has been investigated, and we have found that squeezing increases with higher order of field amplitude. Photon statistics has also been studied and found to be sub-Poissonian in nature. It is also observed that squeezing and photon statistics is directly related to number of photons present in the system prior to interaction in nonlinear medium.

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References

  1. Dodonov VV (2002) Nonclassical states in quantum optics: a ‘squeezed’ review of the first 75 yars. J Opt B: Quantum Semiclassical Opt 4(1):R1–R33. https://doi.org/10.1088/1464-4266/4/1/201

    Article  Google Scholar 

  2. Loudon R, Knight PL (2007) Squeezed light. J Mod Opt 34:709–759. https://doi.org/10.1080/09500348714550721

    Article  MathSciNet  MATH  Google Scholar 

  3. Gill S, Rani S, Singh N (2012) Higher order amplitude squeezing in fourth and fifth harmonic generation. Indian J Phys 86:371–375. https://doi.org/10.1007/s12648-012-0060-z

    Article  Google Scholar 

  4. Pratap R, Giri DK, Prasad A (2014) Effects of squeezing and sub-poissonian of light in fourth harmonic generation up to first order Hamiltonian interaction. Optik- Int J Light Electron Opt 125(3):1065–1070. https://doi.org/10.1016/j.ijleo.2-013.07.143

    Article  Google Scholar 

  5. Rani S, Lal J, Singh N (2012) Normal and higher order squeezing in eight wave mixing process. Indian J Phys 86(1):448–460. https://doi.org/10.1007/s12648-012-0001-x

    Article  Google Scholar 

  6. Rani S, Lal J, Singh N (2011) Higher order amplitude squeezing in six wave mixing process. Int J Opt.: 9. https://doi.org/10.1155/2011/629605

  7. Slusher RE, Hollberg LW, Yurke B, Mertz JC, Valley JF (1985) Observation of squeezed states generated by four-wave mixing in an optical cavity. Phys Rev Lett 55:2409–2412. https://doi.org/10.1103/PhysRevLett.55.2409

    Article  Google Scholar 

  8. Giri DK, Gupta PS (2005) Higher order squeezing of the electromagnetic field in spontaneous and stimulated raman processes. J Mod Opt 52:1769–1781. https://doi.org/10.1080/09500340500073065

    Article  MATH  Google Scholar 

  9. Kumar A, Gupta PS (1996) Higher order amplitude squeezing in hyper Raman scattering under short time approximation. Quantum Semiclassical Opt: J Eur Opt Soc Part B 8:1053–1060. https://doi.org/10.1088/1355-5111/8/5/010

    Article  Google Scholar 

  10. Dong R, Heersink J, Corney JF, Drummond PD, Anderson UL, Leuchs G (2008) Raman induced limits to efficient squeezing in optical fibres. Opt Lett 33:116–118. https://doi.org/10.1364/OL.33.000116

    Article  Google Scholar 

  11. Rebhi R, Anders K, Kaiser R, Lezama A (2015) Fluctuation properties of laser light after interaction with atomic system: comparison between two level and multi level atomic transition. Phys Rev A 92:033853–033861. https://doi.org/10.1103/PhysRevA.92.033853

    Article  Google Scholar 

  12. Hong CK, Mandel L (1985) Higher order squeezing of a quantum field. Phys Rev Lett 54:323–325. https://doi.org/10.1103/PhysRevLett.54.323

    Article  Google Scholar 

  13. Hillery M (1987) Amplitude- squared squeezing of the electromagnetic field. Phys Rev A 36:3796–3802. https://doi.org/10.1103/PhysRevA.36.3796

    Article  Google Scholar 

  14. Gill S (2017) Non classical effects of light in higher order five wave mixing. Int J Adv Sci Eng Technol 5(3):16–20. IJASEAT-IRAJ-DOI-8716

    Google Scholar 

  15. Pathak A, Mandal S (2003) Photon-bunching, photon-antibunching and nonclassical photon statistics of coherent light coupled to a cubic nonlinear medium. Mod Phys Lett B 17(5–6):225–233. https://doi.org/10.1142/S0217984903005123

    Article  Google Scholar 

  16. Thapliyal K, Pathak A, Sen B, Peřina J (2014) Higher-order nonclassicalities in a codirectional nonlinear optical coupler quantum entanglement, squeezing and antibunching. Phys Rev A 90:013808–013817. https://doi.org/10.1103/PhysRevA.90.013808

    Article  Google Scholar 

  17. Giri, S. K., Sen, B., Raymond, O, Pathak, A.: Single-mode and intermodal higher order nonclassicalities in two-mode Bose- Einstein condensates. Phys Rev A 89:033628 (1–10) (2014). https://doi.org/10.1103/physreva.89.033628

  18. Kim Y, Yoon TH (2002) Higher order sub-poissonian photon statistics of light. Opt Commumn 212:107–114. https://doi.org/10.1016/s00304018(02)01981-8

    Article  Google Scholar 

  19. Mishra DK (2010) Study of higher order non classical properties of squeezed kerr state. Opt Commun 283:3284–3290. https://doi.org/10.1016/j.optcom.2010.04.007

    Article  Google Scholar 

  20. Perina J, Perinova V, Kodousek J (1984) On the relations of antibunching, sub-poissonian statistics and squeezing. Opt Commun 49:210–214. https://doi.org/10.1016/003-4018(84)90266-9

    Article  Google Scholar 

  21. Prakash H, Mishra DK (2006) Higher order sub poissonian photon statistics and their use in detection of Hong and Mandel squeezing and amplitude squared squeezing. J Phys B: At Mol Opt Phys 39:2291–2297. https://doi.org/10.1088/0953-4075/39/9/014

    Article  Google Scholar 

  22. Koashi M, Kono K, Hirano T (1993) Photon antibunching in pulsed squeezed light generated via parametic amplification. Phys Rev Lett 71(8):1164–1167. https://doi.org/10.1103/physrevlett.71.1164

    Article  Google Scholar 

  23. Gill S, Sunil R, Nafe S (2012) Total minimum noise in wave mixing processes. Int J Opt 6:4. https://doi.org/10.1155/2012/431826

    Article  Google Scholar 

  24. Thapliyal K, Pathak A (2015) Applications of quantum cryptographic switch: various tasks related to controlled quantum communication can be performed using Bell states and permutation of particles. Quantum Inf Process 14:2599–2616. https://doi.org/10.1007/s11128-015-0987-z

    Article  MathSciNet  MATH  Google Scholar 

  25. Thapliyal K, Verma A, Pathak A (2015) A general method for selecting quantum channel for bidirectional controlled state teleportation and other schemes of controlled quantum communication. Quantum Inf Process 14:4601–4614. https://doi.org/10.1007/s11128-015-1124-8

    Article  MathSciNet  MATH  Google Scholar 

  26. Hsu MTL, Delaubert V, Bowen WP, Fabre C, Bachor HA, Lam PK (2006) A quantum study of multibit phase coding for optical storage. IEEE J Quantum Electron 42:1001–1007. https://doi.org/10.1109/JQE.2006.881634

    Article  Google Scholar 

  27. Shukla C, Pathak A (2014) Orthogonal state based deterministic secure communication without actual transmission of the message qubits. Quantum Inf Process 13:2099–2113. https://doi.org/10.1007/s11128-014-0792-0

    Article  MathSciNet  MATH  Google Scholar 

  28. Beveratos A, Brouri R, Gacoin T, Villing A, Poizat JP, Grangier P (2002) Single photon quantum cryptography. Phys Rev Lett 89:187901–187904. https://doi.org/10.1103/PhysRevLett.89.187901

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Applied Science, University Institute of Engineering and Technology, Kurukshetra University, Kurukshetra, 136119, Haryana, India

    Priyanka & Savita Gill

Authors
  1. Priyanka
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  2. Savita Gill
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Correspondence to Savita Gill .

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Editors and Affiliations

  1. Department of Mathematics and Computer Science, University of Maryland Eastern Shore, Princess Anne, MD, USA

    Gurdeep Singh Hura

  2. Department of Master of Computer Applications, National Institute of Technology Kurukshetra, Kurukshetra, Haryana, India

    Ashutosh Kumar Singh

  3. Department of Information Science and Technology, Multimedia University, Jalan Ayer Keroh Lama, Melaka, Malaysia

    Lau Siong Hoe

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Priyanka, Gill, S. (2021). Higher Order Squeezing in Pump Mode in Multi-wave Mixing Process. In: Hura, G.S., Singh, A.K., Siong Hoe, L. (eds) Advances in Communication and Computational Technology. ICACCT 2019. Lecture Notes in Electrical Engineering, vol 668. Springer, Singapore. https://doi.org/10.1007/978-981-15-5341-7_11

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  • DOI: https://doi.org/10.1007/978-981-15-5341-7_11

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-5340-0

  • Online ISBN: 978-981-15-5341-7

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