Recent advances in the theory of Bogoliubov Hamiltonians
Marcin Napiórkowski
arXiv: Mathematical Physics
1
2018
Bogoliubov correction to the mean-field dynamics of interacting bosons
Phan Thành Nam , Marcin Napiórkowski
Advances in Theoretical and Mathematical Physics 21 ( 3) 683 -738
36
2017
THE BOGOLIUBOV FREE ENERGY FUNCTIONAL II. THE DILUTE LIMIT
Jan Philip Solovej , Robin Reuvers , Robin Reuvers , Marcin Napiórkowski
Communications in Mathematical Physics 360 ( 1) 347 -403
20
2018
Free energy asymptotics of the quantum Heisenberg spin chain
Robert Seiringer , Marcin Napiórkowski
Letters in Mathematical Physics 111 ( 2) 1 -24
1
2021
Two-term expansion of the ground state one-body density matrix of a mean-field Bose gas
Phan Thành Nam , Marcin Napiórkowski
Calculus of Variations and Partial Differential Equations 60 ( 3)
2021
Fluctuations of N-particle quantum dynamics around the nonlinear Schrödinger equation
Christian Brennecke , Phan Thành Nam , Marcin Napiórkowski , Benjamin Schlein
Annales de l'Institut Henri Poincaré C, Analyse non linéaire 36 ( 5) 1201 -1235
21
2019
On the Energy-Momentum Spectrum of a Homogeneous Fermi Gas
Jan Dereziński , Krzysztof A. Meissner , Marcin Napiórkowski
Annales Henri Poincaré 14 ( 1) 1 -36
8
2013
A note on the validity of Bogoliubov correction to mean-field dynamics
Phan Thành Nam , Marcin Napiórkowski
Journal de Mathématiques Pures et Appliquées 108 ( 5) 662 -688
26
2017
Norm approximation for many-body quantum dynamics: Focusing case in low dimensions
Phan Thành Nam , Marcin Napiórkowski
Advances in Mathematics 350 547 -587
12
2019
Ground state energy of a dilute two-dimensional Bose gas from the Bogoliubov free energy functional
Søren Fournais , Marcin Napiórkowski , Robin Reuvers , Jan Philip Solovej
arXiv: Mathematical Physics
2
2019
Beliaev damping in Bose gas
Jan Dereziński , Ben Li , Marcin Napiórkowski
arXiv preprint arXiv:2310.20070
2023
On the minimization of Hamiltonians over pure Gaussian states
Jan Dereziński , Marcin Napiórkowski , Jan Philip Solovej
151 -161
11
2013
Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation
Marcin Napiórkowski , Robin Reuvers , Jan Philip Solovej
Europhysics Letters 121 ( 1) 10007 -10007
7
2018
Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations
Phan Thành Nam , Marcin Napiórkowski , Jan Philip Solovej
arXiv e-prints arXiv: 1508.07321 -arXiv: 1508.07321
2015
Optimal rate of condensation for trapped bosons in the Gross–Pitaevskii regime
Phan Thành Nam , Marcin Napiórkowski , Julien Ricaud , Arnaud Triay
Analysis & PDE 15 ( 6) 1585 -1616
48
2022
Norm approximation for many-body quantum dynamics and Bogoliubov theory
Phan Thành Nam , Marcin Napiórkowski
Advances in Quantum Mechanics: Contemporary Trends and Open Problems 223 -238
12
2017
Dynamics of interacting bosons: a compact review
Marcin Napiórkowski
World Scientific 41 117 -154
15
2023
Excitation spectrum and quasiparticles in quantum gases. A rigorous approach.
Marcin Napiórkowski
PhD Thesis, University of Warsaw
1
2014
Excitation Spectrum of Interacting Bosons in the Mean-Field Infinite-Volume Limit
Jan Dereziński , Marcin M Napiórkowski
Annales Henri Poincaré 15 ( 12) 2409 -2439
51
2014
THE BOGOLIUBOV FREE ENERGY FUNCTIONAL I. EXISTENCE OF MINIMIZERS AND PHASE DIAGRAM
Jan Philip Solovej , Robin Reuvers , Robin Reuvers , Marcin M Napiórkowski
Archive for Rational Mechanics and Analysis 229 ( 3) 1037 -1090
20
2018