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19932026
most citedSolitons in nonlinear lattices

1k citations · 23.8k across the 731 of their papers we have counts for

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quant-ph2026

The continuous spectrum of bound states in expulsive potentials

H. Sakaguchi, B. A. Malomed, A. C. Aristotelous +1

On the contrary to the common intuition, which suggests that a steep expulsive potential makes quantum states widely delocalized, we demonstrate that one- and two-dimensional (1D a…

quant-ph2023★ 7 cited

Formations and dynamics of two-dimensional spinning asymmetric quantum droplets controlled by a PT-symmetric potential

Jin Song, Zhenya Yan, Boris A. Malomed

In this paper, vortex solitons are produced for a variety of 2D spinning quantum droplets (QDs) in a PT-symmetric potential, modeled by the amended Gross-Pitaevskii equation with L…

quant-ph2020★ 15 cited

Shortcuts to adiabaticity for an interacting Bose-Einstein condensate via exact solutions of the generalized Ermakov equation

Tang-You Huang, Boris A. Malomed, Xi Chen

Shortcuts to adiabatic expansion of the effectively one-dimensional Bose-Einstein condensate (BEC) loaded in the harmonic-oscillator (HO) trap is investigated by combining techniqu…

quant-ph2018★ 12 cited

Universal quantum computing with parafermions assisted by a half fluxon

Arpit Dua, Boris Malomed, Meng Cheng +1

Braiding of anyons such as Majoranas or parafermions provides only Clifford gates which do not form a universal set of quantum gates. We propose a robust and resource-efficient sch…

quant-ph2012★ 48 cited

Nonlinear PT-symmetric plaquettes

Kai Li, P. G. Kevrekidis, Boris A. Malomed +1

We introduce four basic two-dimensional (2D) plaquette configurations with onsite cubic nonlinearities, which may be used as building blocks for 2D PT -symmetric lattices. For each…

quant-ph2011★ 5 cited

Acceleration of trapped particles and beams

Er'el Granot, Boris Malomed

The dynamics of a quantum particle bound by an accelerating delta-functional potential is investigated. Three cases are considered, using the reference frame moving along with the…