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Coherent Perfect Absorption in 𝓟𝓣 Symmetric Optical Lattice

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Abstract

In this work we study scattering in a 𝓟𝓣 symmetric periodic optical lattice, when two coherent beams are incident on it from two opposite directions. We focus our attention on both 𝓟𝓣 broken as well as 𝓟𝓣 unbroken phase, with special emphasis on spectral singularity. This is another example of an analytically solvable model, apart from the 𝓟𝓣 symmetric Scarf II potential discussed in ref. Ahmed (Phys. Rev. A 81, 022102 (2014)), which exhibits the phenomenon of Coherent Perfect Absorption (CPA) with lasing, in the domain of broken 𝓟𝓣 symmetry. At the same time, CPA is neither possible for unbroken 𝓟𝓣 symmetry, nor at the transition point.

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References

  1. Mostafazadeh, A.: Phys. Rev. A 90, 023833 (2014)

    Article  ADS  Google Scholar 

  2. Mostafazadeh, A.: Phys. Rev. Lett. 102, 220402 (2009)

    Article  ADS  Google Scholar 

  3. Chong, Y.D., Ge, L., Cao, H., Stone, A.D.: Phys. Rev. Lett. 105, 053901 (2010)

    Article  ADS  Google Scholar 

  4. Longhi, S.: Phys. Rev. Lett. 103, 123601 (2009)

    Article  ADS  Google Scholar 

  5. Longhi, S.: Phys. Rev. A 82, 031801(R) (2010)

    Article  ADS  Google Scholar 

  6. Ge, L, Chong, Y.D., Rotter, S., Treci, H.E., Stone, A.D.: Phys. Rev. A 84, 023820 (2011)

    Article  ADS  Google Scholar 

  7. Ge, L., Chong, Y.D., Stone, A.D.: Phys. Rev. A 85, 023802 (2012)

    Article  ADS  Google Scholar 

  8. Longhi, S.: Physics 3, 61 (2010)

    Article  Google Scholar 

  9. Longhi, S.: Phys. Rev. A 81, 022102 (2010)

    Article  ADS  Google Scholar 

  10. Ahmed, Z.: J. Phys. A: Math. Theor. 47, 385303 (2014)

    Article  ADS  Google Scholar 

  11. Lin, Z., Ramezani, H., Eichelkraut, T., Kottos, T., Cao, H., Christodoulides, D.N.: Phys. Rev. Lett. 106, 213901 (2011)

    Article  ADS  Google Scholar 

  12. Longhi, S.: J. Phys. A: Math. Theor. 44, 485302 (2011)

    Article  MathSciNet  Google Scholar 

  13. Midya, B.: Phys. Rev. A 89, 032116 (2014)

    Article  ADS  Google Scholar 

  14. Longhi, S.: J. Phys. A: Math. Theor. 47, 485302 (2014)

    Article  MathSciNet  ADS  Google Scholar 

  15. Musslimani, Z.H., Makris, K.G., El-Ganainy, R., Christodoulides, D.N.: Phys. Rev. Lett. 100, 030402 (2008)

    Article  ADS  Google Scholar 

  16. Musslimani, Z.H., Makris, K.G., El-Ganainy, R., Christodoulides, D.N.: J. Phys. A 41, 244019 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  17. Makris, K.G., El-Ganainy, R., Christodoulides, D.N., Musslimani, Z.H.: Phys. Rev. Lett. 100, 103904 (2008)

    Article  ADS  Google Scholar 

  18. Makris, K.G., El-Ganainy, R., Christodoulides, D.N., Musslimani, Z.H.: Phys. Rev. A 81, 063807 (2010)

    Article  ADS  Google Scholar 

  19. Makris, K.G., El-Ganainy, R., Christodoulides, D.N., Musslimani, Z.H.: Int. J. Theor. Phys. 50, 1019 (2011)

    Article  MATH  MathSciNet  Google Scholar 

  20. Sinha, A., Roychoudhury, R.: J. Math. Phys. 54, 112106 (2013)

    Article  MathSciNet  ADS  Google Scholar 

  21. Mostafazadeh, A.: Phys. Rev. Lett. 110, 260402 (2013)

    Article  ADS  Google Scholar 

  22. Ahmed, Z.: Phys. Lett. A 377, 957 (2013)

    Article  MathSciNet  ADS  Google Scholar 

  23. Meixner, J., Schäfke, F.W.: Mathieusche Funktionen and Sphäroidfunktionen. Springer-Verlag, Berlin (1954)

    Book  Google Scholar 

  24. Abramowitz, I., Stegun, I.A.: Handbook of Mathematical Functions. Dover, New York (1970)

    Google Scholar 

  25. Dunster, T.M.: Methods and Applications of Analysis 1, 143 (1994)

Download references

Acknowledgments

This work was to be presented in PHHQP XIV, at Setif, Algeria. However, in spite of immense support from the organizers of PHHQP XIV, especially M. Mustapha and M. Znojil, the authors could not make it to the Conference because of purely personal reasons. So they take this opportunity to express their gratitude to the organizers. The authors acknowledge financial support from the Department of Science and Technology, Govt. of India, for its grants SR/WOS-A/PS-11/2012 (to AS) and SR/S2/HEP-32/2012 (to RR). They also thank the unknown referees for their valuable comments, which helped to render the paper in its present form.

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Correspondence to Anjana Sinha.

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Sinha, A., Roychoudhury, R. Coherent Perfect Absorption in 𝓟𝓣 Symmetric Optical Lattice. Int J Theor Phys 54, 3991–4004 (2015). https://doi.org/10.1007/s10773-014-2433-x

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  • DOI: https://doi.org/10.1007/s10773-014-2433-x

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