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• W3136358078 abstract "Abstract We study stability and collisions of quantum droplets (QDs) forming in a binary bosonic condensate trapped in parity-time ( <?CDATA ${ mathcal P }{ mathcal T }$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mi mathvariant=italic></mml:mi> <mml:mi mathvariant=italic></mml:mi> </mml:math> )-symmetric optical lattices. It is found that the stability of QDs in the <?CDATA ${ mathcal P }{ mathcal T }$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mi mathvariant=italic></mml:mi> <mml:mi mathvariant=italic></mml:mi> </mml:math> -symmetric system depends strongly on the values of the imaginary part W 0 of the <?CDATA ${ mathcal P }{ mathcal T }$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mi mathvariant=italic></mml:mi> <mml:mi mathvariant=italic></mml:mi> </mml:math> -symmetric optical lattices, self-repulsion strength g , and the condensate norm N . As expected, the <?CDATA ${ mathcal P }{ mathcal T }$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mi mathvariant=italic></mml:mi> <mml:mi mathvariant=italic></mml:mi> </mml:math> -symmetric QDs are entirely unstable in the broken <?CDATA ${ mathcal P }{ mathcal T }$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mi mathvariant=italic></mml:mi> <mml:mi mathvariant=italic></mml:mi> </mml:math> -symmetric phase. However, the <?CDATA ${ mathcal P }{ mathcal T }$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mi mathvariant=italic></mml:mi> <mml:mi mathvariant=italic></mml:mi> </mml:math> -symmetric QDs exhibit oscillatory stability with the increase of N and g in the unbroken <?CDATA ${ mathcal P }{ mathcal T }$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mi mathvariant=italic></mml:mi> <mml:mi mathvariant=italic></mml:mi> </mml:math> -symmetric phase. Finally, collisions between <?CDATA ${ mathcal P }{ mathcal T }$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mi mathvariant=italic></mml:mi> <mml:mi mathvariant=italic></mml:mi> </mml:math> -symmetric QDs are considered. The collisions of droplets with unequal norms are completely different from that in free space. Besides, a stable <?CDATA ${ mathcal P }{ mathcal T }$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mi mathvariant=italic></mml:mi> <mml:mi mathvariant=italic></mml:mi> </mml:math> -symmetric QDs collides with an unstable ones tend to merge into breathers after the collision." @default.
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• W3136358078 date "2021-04-20" @default.
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• W3136358078 title "Oscillatory stability of quantum droplets in  -symmetric optical lattice" @default.
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