We show that an ultracold atomic cloud bouncing on an oscillating mirror can reveal
spontaneous breaking of a discrete time-translation symmetry. In many-body simulations, we …

Dynamics of solitons in a one-dimensional trap with motionless and moving walls is studied
by the example of bright solitons of an atomic Bose-Einstein condensate. Newton-type …

The interaction of two one-dimensional spatial vector structures of a Bose–Einstein atomic
condensate in a trap with significant transverse dimensions and oscillating walls has been …

Bouncing dynamics of quasi-one dimensional Bose–Einstein condensates (BECs) falling
under gravity on delta-function potentials is investigated. First, we consider a single …

We present a possible way to control matter-wave solitons, which is through the collision
between solitons and an accelerating atomic mirror. The acceleration of the mirror has a …

We have proposed a mechanical model that corresponds to the Newton equation for
describing the dynamics of an oscillon, viz., a soliton-like cluster of the Bose–Einstein …

We study both static and dynamic properties of a weakly interacting Bose–Einstein
condensate (BEC) in a quasi one-dimensional gravito-optical surface trap, where the …

We analyze the problem of a quantum particle falling under the influence of a one-
dimensional constant gravitational field, also known as the bouncing ball, employing a …

We consider matter-wave solitons/oscillons in the presence of gravito-optical surface traps
within the framework of mean-field equations. We pay special attention to the dynamics of …

We consider coupled matter-waves solitons in Bose–Einstein condensates and study the
dynamics under the combined effects of gravity and reflecting potential. The dynamics of …