Zobrazeno 1 - 10
of 213
pro vyhledávání: '"Rougerie, Nicolas"'
Autor:
Périce, Denis, Rougerie, Nicolas
We study the dynamics of two-dimensional interacting fermions submitted to a homogeneous transverse magnetic field. We consider a large magnetic field regime, with the gap between Landau levels set to the same order as that of potential energy contri
Externí odkaz:
http://arxiv.org/abs/2403.19226
In this paper, we investigate the Gibbs measures associated with the focusing nonlinear Schr\"odinger equation with an anharmonic potential. We establish a dichotomy for normalizability and non-normalizability of the Gibbs measures in one dimension a
Externí odkaz:
http://arxiv.org/abs/2312.06232
We consider the quasi-classical limit of Nelson-type regularized polaron models describing a particle interacting with a quantized bosonic field. We break translation-invariance by adding an attractive external potential decaying at infinity, acting
Externí odkaz:
http://arxiv.org/abs/2311.05940
Autor:
Rougerie, Nicolas, Yang, Qiyun
Anyons with a statistical phase parameter $\alpha\in(0,2)$ are a kind of quasi-particles that, for topological reasons, only exist in a 1D or 2D world. We consider the dimensional reduction for a 2D system of anyons in a tight wave-guide. More specif
Externí odkaz:
http://arxiv.org/abs/2305.06670
Autor:
Rougerie, Nicolas, Yang, Qiyun
We consider a many-body system of 2D anyons, free quantum particles with general statistics parameter \alpha \in ]0,2[. In the magnetic gauge picture they are described as bosons attached to Aharonov-Bohm fluxes of intensity 2 \pi \alpha generating l
Externí odkaz:
http://arxiv.org/abs/2302.05220
Autor:
Dinh, Van Duong, Rougerie, Nicolas
We consider the one dimensional cubic nonlinear Schr{\"o}dinger equation with trapping potential behaving like |x| s (s > 1) at infinity. We construct Gibbs measures associated to the equation and prove that the Cauchy problem is globally well-posed
Externí odkaz:
http://arxiv.org/abs/2301.02544
Autor:
Rougerie, Nicolas, Yngvason, Jakob
Cold atomic gases of interacting bosons subject to rapid rotation and confined in anharmonic traps can theoretically exhibit analogues of the fractional quantum Hall effect for electrons in strong magnetic fields. In this setting the Coriolis force d
Externí odkaz:
http://arxiv.org/abs/2209.14215
Autor:
Girardot, Théotime, Rougerie, Nicolas
We derive a Pauli exclusion principle for extended fermion-based anyons of any positive radius and any non-trivial statistics parameter. That is, we consider 2D fermionic particles coupled to magnetic flux tubes of non-zero radius, and prove a Lieb-T
Externí odkaz:
http://arxiv.org/abs/2209.02543
We study the ground states of a 2D focusing non-linear Schr\"odinger equation with rotation and harmonic trapping. When the strength of the interaction approaches a critical value from below, the system collapses to a profile obtained from the optimi
Externí odkaz:
http://arxiv.org/abs/2208.08317
Autor:
Rougerie, Nicolas
The fractional quantum Hall effect in 2D electron gases submitted to large magnetic fields remains one of the most striking phenomena in condensed matter physics. Historically, the first observed signature is a Hall resistance quantized to the value
Externí odkaz:
http://arxiv.org/abs/2208.02619