42 citations · 137 across the 10 of their papers we have counts for
16 papers
Dynamics of low energy wave packets in the one-dimensional quantum Heisenberg ferromagnet
Mateusz Kwaśnicki, Marcin Napiórkowski, Sören Petrat +1
Spin wave theory plays a central role in the analysis of low-energy properties of the quantum ferromagnetic Heisenberg model. In this work, we present a first step towards a rigoro…
Random field approximation and local counting statistics for the weakly interacting thermal Bose gas
Andreas Deuchert, Marcin Napiórkowski, Błażej Ruba
We study weakly interacting bosons on the three-dimensional torus at temperatures proportional to the critical temperature for Bose--Einstein condensation. We show that, as the exp…
The Gibbs state of the mean-field Bose gas
Andreas Deuchert, Phan Thành Nam, Marcin Napiórkowski
We consider the homogeneous mean-field Bose gas at temperatures proportional to the critical temperature of its Bose-Einstein condensation phase transition. We prove a trace norm a…
Dynamics of interacting bosons: a compact review
Marcin Napiórkowski
The success of Gross--Pitevskii and Bogoliubov theories in the description of large systems of interacting bosons led to a substantial effort into rigorously deriving these effecti…
Two-term expansion of the ground state one-body density matrix of a mean-field Bose gas
Phan Thành Nam, Marcin Napiórkowski
We consider the homogeneous Bose gas on a unit torus in the mean-field regime when the interaction strength is proportional to the inverse of the particle number. In the limit when…
Optimal rate of condensation for trapped bosons in the Gross-Pitaevskii regime
Phan Thành Nam, Marcin Napiórkowski, Julien Ricaud +1
We study the Bose-Einstein condensates of trapped Bose gases in the Gross-Pitaevskii regime. We show that the ground state energy and ground states of the many-body quantum system…