Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Cárdenas, Esteban"'
Autor:
Cárdenas, Esteban, Mitrouskas, David
We consider a tracer particle coupled to a Bose scalar field and study the regime where the field's propagation speed approaches infinity. For initial states devoid of field excitations, we introduce an effective approximation of the time-evolved wav
Externí odkaz:
http://arxiv.org/abs/2405.05251
We prove tunneling estimates for two-dimensional Dirac systems which are localized in space due to the presence of a magnetic field. The Hamiltonian driving the motion admits the decomposition $H = H_0 + W$, where $H_0 $ is a rotationally symmetric m
Externí odkaz:
http://arxiv.org/abs/2401.00304
Autor:
Cárdenas, Esteban
The semi-classical limit of ground states of large systems of fermions was studied by Fournais, Lewin and Solovej in (Calc. Var. Partial Differ. Equ., 2018). In particular, the authors prove weak convergence towards classical states associated to the
Externí odkaz:
http://arxiv.org/abs/2312.03953
In this work, we describe the dynamics of a Bose-Einstein condensate interacting with a degenerate Fermi gas, at zero temperature. First, we analyze the mean-field approximation of the many-body Schr\"odinger dynamics and prove emergence of a coupled
Externí odkaz:
http://arxiv.org/abs/2309.04638
Autor:
Cárdenas, Esteban, Chen, Thomas
In this paper, we study a cold gas of $N \gg 1$ weakly interacting fermions. We describe the time evolution of states that are perturbations of the Fermi ball, and analyze the dynamics in particle-hole variables. Our main result states that, for smal
Externí odkaz:
http://arxiv.org/abs/2306.03300
In this work, we generalize M. Kac's original many-particle binary stochastic model to derive a space homogeneous Boltzmann equation that includes a linear combination of higher-order collisional terms. First, we prove an abstract theorem about conve
Externí odkaz:
http://arxiv.org/abs/2211.02758
Autor:
Cárdenas, Esteban
In this work, we investigate the mean-field limit of a model consisting in $m \geq 1 $ tracer particles, coupled to an interacting boson field. We assume the mass of the tracer particles and the expected number of bosons to be of the same order of ma
Externí odkaz:
http://arxiv.org/abs/2107.05195
In this work we provide results on the long time localisation in space (dynamical localisation) of certain two-dimensional magnetic quantum systems. The underlying Hamiltonian may have the form $H=H_0+W$, where $H_0$ is rotationally symmetric, has de
Externí odkaz:
http://arxiv.org/abs/2006.00134
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We consider the Landau Hamiltonian $H_0$, self-adjoint in $L^2({\mathbb R^2})$, whose spectrum consists of an arithmetic progression of infinitely degenerate positive eigenvalues $\Lambda_q$, $q \in {\mathbb Z}_+$. We perturb $H_0$ by a non-local pot
Externí odkaz:
http://arxiv.org/abs/1901.04370