Interaction of one-dimensional quantum droplets with potential wells and barriers

A Debnath, A Khan, B Malomed - Communications in Nonlinear Science …, 2023 - Elsevier
We address static and dynamical properties of one-dimensional (1D) quantum droplets
(QDs) under the action of local potentials in the form of narrow wells and barriers. The …

Interactions of solitons with a Gaussian barrier: splitting and recombination in quasi-one-dimensional and three-dimensional settings

J Cuevas, PG Kevrekidis, BA Malomed… - New Journal of …, 2013 - iopscience.iop.org
The interaction of matter–wave solitons with a potential barrier is a fundamentally important
problem, and the splitting and subsequent recombination of the soliton by the barrier is the …

[HTML][HTML] Quantum sensing with sub-Planck structures for the dynamics of Bose-Einstein condensate in presence of engineered potential barriers inside a harmonic …

J Bera, B Halder, S Ghosh, RK Lee, U Roy - Physics Letters A, 2022 - Elsevier
We report a scheme for quantum sensing in ultracold atoms by utilizing an atom-
interferometer producing sub-Planck scale structures. The condensate is trapped in a hybrid …

Generating mesoscopic Bell states via collisions of distinguishable quantum bright solitons

B Gertjerenken, TP Billam, CL Blackley, CR Le Sueur… - Physical Review Letters, 2013 - APS
We investigate numerically the collisions of two distinguishable quantum matter-wave bright
solitons in a one-dimensional harmonic trap. We show that such collisions can be used to …

Splitting bright matter-wave solitons on narrow potential barriers: Quantum to classical transition and applications to interferometry

JL Helm, SJ Rooney, C Weiss, SA Gardiner - Physical Review A, 2014 - APS
We study bright solitons in the Gross-Pitaevskii equation as they are split and recombined in
a low-energy system. We present analytic results determining the general region in which a …

Geiger–Nuttall law for Schrödinger solitons

VN Serkin, A Hasegawa, TL Belyaeva - Journal of Modern Optics, 2013 - Taylor & Francis
Based on the formal analogy between soliton tunneling through a classically forbidden
potential barrier and–particle tunneling and decay we introduce a 'toy solitonic model of a …

Properties of the temporal–spatial interference pattern during soliton interaction

LC Zhao, L Ling, ZY Yang, J Liu - Nonlinear Dynamics, 2016 - Springer
Interference patterns associated with soliton–soliton interaction are investigated in detail.
We find that the temporal and spatial interference patterns exhibit quite different …

Tunneling dynamics between atomic bright solitons

LC Zhao, L Ling, ZY Yang, WL Yang - Nonlinear Dynamics, 2017 - Springer
We investigate tunneling behavior between two bright solitons in a Bose–Einstein
condensate with attractive contact interactions between atoms. The explicit tunneling …

Directional flow of solitons with asymmetric potential wells: Soliton diode

U Al Khawaja - Europhysics Letters, 2013 - iopscience.iop.org
We study the flow of bright solitons through two asymmetric potential wells. The scattering of
a soliton by a certain type of single potential wells, eg, Gaussian or Rosen-Morse, is …

Atomic soliton transmission and induced collapse in scattering from a narrow barrier

F Lorenzi, L Salasnich - Scientific Reports, 2024 - nature.com
We report systematic numerical simulations of the collision of a bright matter-wave soliton
made of Bose-condensed alkali-metal atoms through a narrow potential barrier by using the …