101 citations · 132 across the 3 of their papers we have counts for
4 papers
Quantum fluctuations in one-dimensional supersolids
Chris Bühler, Tobias Ilg, Hans Peter Büchler
In one-dimension, quantum fluctuations prevent the appearance of long-range order in a supersolid, and only quasi long-range order can survive. We derive this quantum critical beha…
Ground-state stability and excitation spectrum of a one-dimensional dipolar supersolid
Tobias Ilg, Hans Peter Büchler
We study the behavior of the excitation spectrum across the quantum phase transition from a superfluid to a supersolid phase of a dipolar Bose gas confined to a one-dimensional geo…
Dimensional crossover for the beyond-mean-field correction in Bose gases
Tobias Ilg, Jan Kumlin, Luis Santos +2
We present a detailed beyond-mean-field analysis of a weakly interacting Bose gas in the crossover from three to low dimensions. We find an analytical solution for the energy and p…
Dynamics of Solitons in the One-Dimensional Nonlinear Schrödinger Equation
Tobias Ilg, Ramona Tschüter, Andrej Junginger +2
We investigate bright solitons in the one-dimensional Schrödinger equation in the framework of an extended variational approach. We apply the latter to the stationary ground state…