- Access by Xinjiang University
Multidimensional optical solitons and their manipulation in a cold atomic gas with a parity-time-symmetric optical Bessel potential
Phys. Rev. A 107, 053501 – Published 3 May, 2023
DOI: https://doi.org/10.1103/PhysRevA.107.053501
Abstract
We propose a scheme to realize an optical Bessel potential with parity-time () symmetry and investigate the existence, propagation, and manipulation of multidimensional optical solitons through the interplay among diffraction, Kerr nonlinearity, and potential confinement in a cold atomic gas under the condition of electromagnetically induced transparency (EIT). We show that the system supports not only two-dimensional stationary optical solitons but also rotary ones; the stability of such solitons can be actively controlled by the gain-loss component (imaginary part), while the rotary motions can be tuned by the refractive-index component (real part) of the -symmetric potential. Moreover, we demonstrate that the system allows the existence of stable three-dimensional spatiotemporal optical solitons, i.e., optical bullets, which have ultraslow propagation velocity and display helicoidal motions with controllable propagation trajectories. Due to the Kerr nonlinearity enhanced by the EIT effect, extremely low power is needed to create these multidimensional optical solitons. The results reported here are useful not only for the generation and manipulation of high-dimensional solitons via -symmetric potentials, but also for promising applications in optical information processing and transmission.
Physics Subject Headings (PhySH)
Article Text
References (62)
- Y. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, Cambridge, 2003).
- B. A. Malomed, Multidimensional Solitons (AIP, Melville, 2022).
- Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Soliton shape and mobility control in optical lattices, Prog. Opt. 52, 63 (2009).
- Y. V. Kartashov, B. A. Malomed, and L. Torner, Solitons in nonlinear lattices, Rev. Mod. Phys. 83, 247 (2011).
- V. V. Konotop, J. Yang, and D. A. Zezyulin, Nonlinear waves in -symmetric systems, Rev. Mod. Phys. 88, 035002 (2016).
- Y. V. Kartashov, A. A. Egorov, V. A. Vysloukh, and L. Torner, Rotary dipole-mode solitons in Bessel optical lattices, J. Opt. B 6, 444 (2004).
- Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Rotary Solitons in Bessel Optical Lattices, Phys. Rev. Lett. 93, 093904 (2004).
- Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Stable Ring-Profile Vortex Solitons in Bessel Optical Lattices, Phys. Rev. Lett. 94, 043902 (2005).
- Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Soliton spiraling in optically induced rotating Bessel lattices, Opt. Lett. 30, 637 (2005).
- Y. V. Kartashov, R. Carretero-González, B. A. Malomed, V. A. Vysloukh, and L. Torner, Multipole-mode solitons in Bessel optical lattices, Opt. Express 13, 10703 (2005).
- D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. V. Kartashov, L.-C. Crasovan, and L. Torner, Stable Spatiotemporal Solitons in Bessel Optical Lattices, Phys. Rev. Lett. 95, 023902 (2005).
- B. B. Baizakov, B. A. Malomed, and M. Salerno, Matter-wave solitons in radially periodic potentials, Phys. Rev. E 74, 066615 (2006).
- F. Ye, Y. V. Kartashov, B. Hu, and L. Torner, Light bullets in Bessel optical lattices with spatially modulated nonlinearity, Opt. Express 17, 11328 (2009).
- L. Dong, J. Wang, H. Wang, and G. Yin, Bessel lattice solitons in competing cubic-quintic nonlinear media, Phys. Rev. A 79, 013807 (2009).
- A. Ruelas, S. Lopez-Aguayo, and J. C. Gutiérrez-Vega, Soliton dynamics in modulated Bessel photonic lattices, Phys. Rev. A 82, 063808 (2010).
- C. Hang and V. V. Konotop, Spatial solitons in a three-level atomic medium supported by a Laguerre-Gaussian control beam, Phys. Rev. A 83, 053845 (2011).
- X. Wang, Z. Chen, and P. G. Kevrekidis, Observation of Discrete Solitons and Soliton Rotation in Optically Induced Periodic Ring Lattices, Phys. Rev. Lett. 96, 083904 (2006).
- S. Huang, P. Zhang, X. Wang, and Z. Chen, Observation of soliton interaction and planetlike orbiting in Bessel-like photonic lattices, Opt. Lett. 35, 2284 (2010).
- N. N. Rosanov, S. V. Fedorov, and A. N. Shatsev, Two-dimensional laser soliton complexes with weak, strong, and mixed coupling, Appl. Phys. B 81, 937 (2005).
- N. A. Veretenov, N. N. Rosanov, and S. V. Fedorov, Motion of complexes of 3D-laser solitons, Opt. Quant. Electron 40, 253 (2008).
- M. Fleischhauer, A. Imamoglu, and J. P. Marangos, Electromagnetically induced transparency: Optics in coherent media, Rev. Mod. Phys. 77, 633 (2005), and references therein.
- Y. Wu and L. Deng, Ultraslow Optical Solitons in a Cold Four-State Medium, Phys. Rev. Lett. 93, 143904 (2004).
- G. Huang, L. Deng, and M. G. Payne, Dynamics of ultraslow optical solitons in a cold three-state atomic system, Phys. Rev. E 72, 016617 (2005).
- S. E. Harris, Refractive-index control with strong fields, Opt. Lett. 19, 2018 (1994).
- C. Hang, V. V. Konotop, and G. Huang, Spatial solitons and instabilities of light beams in a three-level atomic medium with a standing-wave control field, Phys. Rev. A 79, 033826 (2009).
- C. M. Bender and S. Boettcher, Real Spectra in Non-Hermitian Hamiltonians Having Symmetry, Phys. Rev. Lett. 80, 5243 (1998).
- C. M. Bender, Making sense of non-Hermitian Hamiltonians, Rep. Prog. Phys. 70, 947 (2007).
- C. Hang, G. Huang, and V. V. Konotop, Symmetry with a System of Three-Level Atoms, Phys. Rev. Lett. 110, 083604 (2013).
- J. Sheng, M. Miri, D. N. Christodoulides, and M. Xiao, -symmetric optical potentials in a coherent atomic medium, Phys. Rev. A 88, 041803(R) (2013).
- Z. Zhang, Y. Zhang, J. Sheng, L. Yang, M. Miri, D. N. Christodoulides, B. He, Y. Zhang, and M. Xiao, Observation of Parity-Time Symmetry in Optically Induced Atomic Lattices, Phys. Rev. Lett. 117, 123601 (2016).
- C. Hang and G. Huang, Parity-time symmetry with coherent atomic gases, Adv. Phys. X 2, 737 (2017).
- Z. Zhang, D. Ma, J. Sheng, Y. Zhang, Y. Zhang, and M. Xiao, Non-Hermitian optics in atomic systems, J. Phys. B 51, 072001 (2018).
- Y. Xue, C. Hang, Y. He, Z. Bai, Y. Jiao, G. Huang, J. Zhao, and S. Jia, Experimental observation of partial parity-time symmetry and its phase transition with a laser-driven cesium atomic gas, Phys. Rev. A 105, 053516 (2022).
- R. El-Ganainy, K. G. Makris, M. Khajavikhan, Z. H. Musslimani, S. Rotter, and D. N. Christodoulides, Non-Hermitian physics and PT symmetry, Nat. Phys. 14, 11 (2018).
- S. V. Suchkov, A. A. Sukhorukov, J. Huang, S. V. Dmitriev, C. Lee, and Y. S. Kivshar, Nonlinear switching and solitons in PT-symmetric photonic systems, Laser Photon. Rev. 10, 177 (2016).
- L. Feng, R. El-Ganainy, and L. Ge, Non-Hermitian photonics based on parity-time symmetry, Nat. Photon. 11, 752 (2017).
- H. Zhao and L. Feng, Parity-time symmetric photonics, Natl. Sci. Rev. 5, 183 (2018).
- Z. H. Musslimani, K. G. Makris, R. El-Ganainy, and D. N. Christodoulides, Optical Solitons in -Periodic Potentials, Phys. Rev. Lett. 100, 030402 (2008).
- Z. Shi, X. Jiang, X. Zhu, and H. Li, Bright spatial solitons in defocusing Kerr media with -symmetric potentials, Phys. Rev. A 84, 053855 (2011).
- C. Li, C. Huang, H. Liu, and L. Dong, Multipeaked gap solitons in -symmetric optical lattices, Opt. Lett. 37, 4543 (2012).
- C. P. Jisha, A. Alberucci, V. A. Brazhnyi, and G. Assanto, Nonlocal gap solitons in -symmetric periodic potentials with defocusing nonlinearity, Phys. Rev. A 89, 013812 (2014).
- H. Wang and D. N. Christodoulides, Two dimensional gap solitons in self-defocusing media with PT-symmetric superlattice, Commun. Nonlinear. Sci. Num. Simul. 38, 130 (2016).
- S. Hu, X. Ma, D. Lu, Z. Yang, Y. Zheng, and W. Hu, Solitons supported by complex -symmetric Gaussian potentials, Phys. Rev. A 84, 043818 (2011).
- D. A. Zezyulin and V. V. Konotop, Nonlinear modes in the harmonic -symmetric potential, Phys. Rev. A 85, 043840 (2012).
- H. Chen, S. Hu, and L. Qi, The optical solitons in the Scarff parity-time symmetric potentials, Opt. Commun. 331, 139 (2014).
- Z. Yan, Z. Wen, and C. Hang, Spatial solitons and stability in self-focusing and defocusing Kerr nonlinear media with generalized parity-time-symmetric Scarff-II potentials, Phys. Rev. E 92, 022913 (2015).
- B. Midya and R. Roychoudhury, Nonlinear localized modes in -symmetric Rosen-Morse potential wells, Phys. Rev. A 87, 045803 (2013).
- Y. Eliezer, A. Bahabad, and B. A. Malomed, Superoscillatory -symmetric potentials, Phys. Rev. A 98, 043830 (2018).
- S. Hu and W. Hu, Optical solitons in the parity-time-symmetric Bessel complex potential, J. Phys. B 45, 225401 (2012).
- H. Wang, Y. Wei, X. Huang, G. Chen, and H. Ye, Fundamental and dressed annular solitons in saturable nonlinearity with parity-time symmetric Bessel potential, Chin. Phys. B 27, 044203 (2018).
- H. Chen and S. Hu, The solitons in parity-time symmetric mixed Bessel linear potential and modulated nonlinear lattices, Opt. Commun. 332, 169 (2014).
- Here “2D” means the case where the transverse diffraction effect (indicated by the second-order spatial derivatives ) plays a role; “3D” means the case where the transverse diffraction effect and longitudinal dispersion effect (indicated by and ) play roles.
- W. Demtröder, Laser Spectroscopy: Basic Concepts and Instrumentation, 3rd ed. (Springer, Berlin, 2003), Chap. 10.
- R. W. Boyd, Nonlinear Optics (Academic, Amsterdam, 2003).
- D. A. Steck, Rubidium 87 D Line Data, http://steck.us/alkalidata.
- Q. Zhang, Z. Bai, and G. Huang, Fast-responding property of electromagnetically induced transparency in Rydberg atoms, Phys. Rev. A 97, 043821 (2018).
- J. Arlt and K. Dholakia, Generation of high-order Bessel beams by use of an axicon, Opt. Commun. 177, 297 (2000).
- N. Chattrapiban, E. A. Rogers, D. Cofield, W. T. Hill, and R. Roy, Generation of nondiffracting Bessel beams by use of a spatial light modulator, Opt. Lett. 28, 2183 (2003).
- J. Durnin, J. J. Miceli, Jr., and J. H. Eberly, Diffraction-Free Beams, Phys. Rev. Lett. 58, 1499 (1987).
- K. G. Makris, Z. H. Musslimani, D. N. Christodoulides, and S. Rotter, Constant-intensity waves and their modulation instability in non-Hermitian potentials, Nat. Commun. 6, 7257 (2015).
- Y. Lumer, Y. Plotnik, M. C. Rechtsman, and M. Segev, Nonlinearly Induced Transition in Photonic Systems, Phys. Rev. Lett. 111, 263901 (2013).
- Z. Bai, W. Li, and G. Huang, Stable single light bullets and vortices and their active control in cold Rydberg gases, Optica 6, 309 (2019).