68 citations · 175 across the 12 of their papers we have counts for
12 papers
Ground state energy of the dilute Bose-Hubbard gas on Bravais lattices
Norbert Mokrzański, Marcin Napiórkowski, Jacek Wojtkiewicz
We study interacting bosons on a three-dimensional Bravais lattice with positive hopping amplitudes and on-site repulsive interactions. We prove that, in the dilute limit ,…
A note on spontaneous symmetry breaking in the mean-field Bose gas
Andreas Deuchert, Phan Thanh Nam, Marcin Napiorkowski
We consider the homogeneous Bose gas in the three-dimensional unit torus, where particles interact via a two-body potential of the form . The system is studied at…
Free energy asymptotics of the quantum Heisenberg spin chain
Marcin Napiorkowski, Robert Seiringer
We consider the ferromagnetic quantum Heisenberg model in one dimension, for any spin . We give upper and lower bounds on the free energy, proving that at low temperatur…
The Bogoliubov free energy functional II. The dilute limit
Marcin Napiórkowski, Robin Reuvers, Jan Philip Solovej
We analyse the canonical Bogoliubov free energy functional at low temperatures in the dilute limit. We prove existence of a first order phase transition and, in the limit $a_0\to a…
The Bogoliubov free energy functional I. Existence of minimizers and phase diagram
Marcin Napiórkowski, Robin Reuvers, Jan Philip Solovej
The Bogoliubov free energy functional is analysed. The functional serves as a model of a translation invariant Bose gas at positive temperature. We prove the existence of minimizer…
Quantum wetting transitions in two dimensions: an alternative path to non-universal interfacial singularities
Pawel Jakubczyk, Marek Napiórkowski, Federico Benitez
We consider two-dimensional () systems with short-ranged microscopic interactions, where interface unbinding (wetting) transitions occur in the limit of vanishing temperature…