Zobrazeno 1 - 10
of 92
pro vyhledávání: '"Jauslin, Ian"'
Autor:
He, Qidong, Jauslin, Ian
In this paper, we prove the existence of a crystallization transition for a family of hard-core particle models on periodic graphs in arbitrary dimensions. We establish a criterion under which crystallization occurs at sufficiently high densities. Th
Externí odkaz:
http://arxiv.org/abs/2402.02615
Autor:
Jauslin, Ian
These are lecture notes for a week-long summer school course delivered at the TXST Summer School in Mathematical Physics, July 24-28, 2023, organized by Jake Fillman. In them, we discuss properties of systems of many interacting Bosons, such as gasse
Externí odkaz:
http://arxiv.org/abs/2308.00290
Autor:
Jauslin, Ian
In this paper, we present evidence for a liquid-like phase in systems of many interacting Bosons at intermediate densities. The interacting Bose gas has been studied extensively in the low and high density regimes, in which interactions do not play a
Externí odkaz:
http://arxiv.org/abs/2302.13449
Autor:
Jauslin, Ian
The Simplified approach to the Bose gas was introduced by Lieb in 1963 to study the ground state of systems of interacting Bosons. In a series of recent papers, it has been shown that the Simplified approach exceeds earlier expectations, and gives as
Externí odkaz:
http://arxiv.org/abs/2302.13446
We analyze non-perturbatively the one-dimensional Schr\"odinger equation describing the emission of electrons from a model metal surface by a classical oscillating electric field. Placing the metal in the half-space $x\leqslant 0$, the Schr\"odinger
Externí odkaz:
http://arxiv.org/abs/2209.07570
Autor:
Jauslin, Ian
The hierarchical graphene model is a simple toy model which is useful to understand the mechanics of renormalization group flows in super-renormalizable systems. It is based on a model of interacting electrons in graphene, for which the renormalizati
Externí odkaz:
http://arxiv.org/abs/2206.08239
Autor:
Jauslin, Ian
In this paper, we will review the results obtained thus far by Eric A. Carlen, Elliott H. Lieb and me on a Simplified Approach to the Bose gas. The Simplified Approach yields a family of effective one-particle equations, which capture some non-trivia
Externí odkaz:
http://arxiv.org/abs/2202.07637
Autor:
Jauslin, Ian, Lemm, Marius
Publikováno v:
Quantum 6, 790 (2022)
We consider random translation-invariant frustration-free quantum spin Hamiltonians on $\mathbb Z^D$ in which the nearest-neighbor interaction in every direction is randomly sampled and then distributed across the lattice. Our main result is that, un
Externí odkaz:
http://arxiv.org/abs/2111.06433
Publikováno v:
Phys. Rev. A 103, 053309 (2021)
In 1963, a Simple Approach was developed to study the ground state energy of an interacting Bose gas. It consists in the derivation of an Equation, which is not based on perturbation theory, and which gives the exact expansion of the energy at low de
Externí odkaz:
http://arxiv.org/abs/2011.10869
In a recent paper we studied an equation (called the "simple equation") introduced by one of us in 1963 for an approximate correlation function associated to the ground state of an interacting Bose gas. Solving the equation yields a relation between
Externí odkaz:
http://arxiv.org/abs/2010.13882