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Modulational instability and discrete quantum droplets in a deep quasi-one-dimensional optical lattice
Sherzod R Otajonov1,2, Bakhram A Umarov1, Fatkhulla Kh Abdullaev1,2
1Physical-Technical Institute of the Uzbek Academy of Sciences, Chingiz Aytmatov Str. 2-B, Tashkent 100084, Uzbekistan.
None:
We study the properties of modulational instability and discrete breathers arising in a quasi-one-dimensional discrete Gross-Pitaevskii equation with Lee-Huang-Yang corrections. Conditions for modulation instability and instability regions of nonlinear plane waves are determined in parameter space. We analytically investigate the existence of different quantum droplet solutions, including intersite, onsite, front-like, flat-top, and dark localized modes, using the Page method and variational approach. Their stability is checked using linear stability analyses and numerical simulations. The analytical predictions corroborated with the numerical simulations.
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