6 papers
Dynamical Fermionization and Emergent Bethe Rapidity Structure in the Spatial Density of Cold quenched Lieb-Liniger gas
Sumita Datta, James M Rejcek, Rajasee Datta +1
We demonstrate that the nonequilibrium spatial density of a one-dimensional interacting Bose gas, following a geometric quench, directly encodes information about the underlying mo…
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…
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…
Finding ground states of a square Newman-Moore lattice with sides equal to a Mersenne number using the Rule 60 cellular automaton
Jonás Carmona-PÃrez, 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…
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…