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Publications Influence

Bogoliubov Spectrum of Interacting Bose Gases

- M. Lewin, P. Nam, S. Serfaty, J. P. Solovej
- Physics, Mathematics
- 12 November 2012

We study the large-N limit of a system of N bosons interacting with a potential of intensity 1/N. When the ground state energy is to the first order given by Hartree's theory, we study the next… Expand

105 14- PDF

Discrete Wirtinger-based inequality and its application

- P. Nam, P. Pathirana, H. Trinh
- Engineering, Computer Science
- J. Frankl. Inst.
- 1 May 2015

TLDR

100 13- PDF

Derivation of Hartree's theory for generic mean-field Bose systems

- M. Lewin, P. Nam, N. Rougerie
- Mathematics, Physics
- 5 March 2013

In this paper we provide a novel strategy to prove the validity of Hartree's theory for the ground state energy of bosonic quantum systems in the mean-field regime. For the well-known case of trapped… Expand

122 7- PDF

Derivation of nonlinear Gibbs measures from many-body quantum mechanics

- M. Lewin, P. Nam, N. Rougerie
- Mathematics, Physics
- 1 October 2014

We prove that nonlinear Gibbs measures can be obtained from the corresponding many-body, grand-canonical, quantum Gibbs states, in a mean-field limit where the temperature T diverges and the… Expand

46 5- PDF

Discrete inequalities based on multiple auxiliary functions and their applications to stability analysis of time-delay systems

- P. Nam, H. Trinh, P. Pathirana
- Mathematics, Computer Science
- J. Frankl. Inst.
- 1 December 2015

TLDR

38 4

Ground states of large bosonic systems: The gross-pitaevskii limit revisited

- P. Nam, N. Rougerie, R. Seiringer
- Physics, Mathematics
- 24 March 2015

We study the ground state of a dilute Bose gas in a scaling limit where the Gross-Pitaevskii functional emerges. This is a repulsive non-linear Schr\"odinger functional whose quartic term is… Expand

51 4- PDF

The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases

- M. Lewin, P. Nam, N. Rougerie
- Mathematics, Physics
- 13 May 2014

We study the ground state of a trapped Bose gas, starting from the full many-body Schrodinger Hamiltonian, and derive the nonlinear Schrodinger energy functional in the limit of large particle… Expand

57 4- PDF

REMARKS ON THE QUANTUM DE FINETTI THEOREM FOR BOSONIC SYSTEMS

- M. Lewin, P. Nam, N. Rougerie
- Mathematics, Physics
- 8 October 2013

The quantum de Finetti theorem asserts that the k-body density matrices of a N-body bosonic state approach a convex combination of Hartree states (pure tensor powers) when N is large and k fixed. In… Expand

33 4- PDF

An improved stability criterion for a class of neutral differential equations

- P. Nam, V. N. Phat
- Mathematics, Computer Science
- Appl. Math. Lett.
- 2009

TLDR

40 3- PDF

Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations

- P. Nam, M. Napiórkowski, J. P. Solovej
- Mathematics, Physics
- 28 August 2015

We provide general conditions for which bosonic quadratic Hamiltonians on Fock spaces can be diagonalized by Bogoliubov transformations. Our results cover the case when quantum systems have infinite… Expand

37 3- PDF

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