3.2k citations · 8.8k across the 73 of their papers we have counts for
77 papers
Quantum undular bores, rainbows, and event horizons in superfluid dam breaks
Liam M. Farrell, Wyatt Kirkby, Alex Harris +3
The sudden removal of a potential barrier from a Bose-Einstein condensate (BEC) gives rise to a quantum version of a hydrodynamic dam break and leads to rich wave dynamics that hav…
Exact Solution for Two -Interacting Bosons on a Ring in the Presence of a -Barrier: Asymmetric Bethe Ansatz for Spatially Odd States
Maxim Olshanii, Mathias Albert, Gianni Aupetit-Diallo +2
In this article, we apply the recently proposed Asymmetric Bethe Ansatz method to the problem of two one-dimensional, short-range-interacting bosons on a ring in the presence of a…
A canonical approach to quantum fluctuations
Joanna Ruhl, Vanja Dunjko, Maxim Olshanii
We present a canonical formalism for computing quantum fluctuations of certain discrete degrees of freedom in systems governed by integrable partial differential equations with kno…
Degeneracies In a Weighted Sum of Two Squares
Ishan Vinayagam Ramesh, Maxim Olshanii
This work is an attempt to classify and quantify instances when a weighted sum of two squares of positive integers, , can be realized in more than one way. Our pr…
Finding ground states of a square Newman-Moore lattice with sides equal to a Mersenne number using the Rule 60 cellular automaton
Jonás Carmona-Pírez, Adrian J. Peguero, Vanja Dunjko +2
We offer detailed proofs of some properties of the Rule 60 cellular automaton on a ring with a Mersenne number circumference. We then use these properties to define a propagator, a…
Can one hear the full nonlinearity of a PDE from its small excitations?
Maxim Olshanii, Danshyl Boodhoo
In this article, we show how one can restore an unknown nonlinear partial differential equation of a sine-Gordon type from its linearization around an unknown stationary kink. The…