65 citations · 711 across the 31 of their papers we have counts for
5 papers · 1 filter
Delta-Bose gas on a half-line and the KPZ equation: boundary bound states and unbinding transitions
Jacopo De Nardis, Alexandre Krajenbrink, Pierre Le Doussal +1
We revisit the Lieb-Liniger model for bosons in one dimension with attractive delta interaction in a half-space with diagonal boundary conditions. This model is…
Probing the large deviations of the Kardar-Parisi-Zhang equation at short time with an importance sampling of directed polymers in random media
Alexander K. Hartmann, Alexandre Krajenbrink, Pierre Le Doussal
The one-point distribution of the height for the continuum Kardar-Parisi-Zhang (KPZ) equation is determined numerically using the mapping to the directed polymer in a random potent…
Replica Bethe Ansatz solution to the Kardar-Parisi-Zhang equation on the half-line
Alexandre Krajenbrink, Pierre Le Doussal
We consider the Kardar-Parisi-Zhang (KPZ) equation for the stochastic growth of an interface of height on the positive half line with boundary condition $\partial_x h(x,t)…
Distribution of Brownian coincidences
Alexandre Krajenbrink, Bertrand Lacroix-A-Chez-Toine, Pierre Le Doussal
We study the probability distribution, , of the coincidence time , i.e. the total local time of all pairwise coincidences of independent Brownian walkers. We conside…
On the qubit routing problem
Alexander Cowtan, Silas Dilkes, Ross Duncan +3
We introduce a new architecture-agnostic methodology for mapping abstract quantum circuits to realistic quantum computing devices with restricted qubit connectivity, as implemented…