21 citations · 108 across the 27 of their papers we have counts for
27 papers
Lee-Yang Zeros And Particle Fluctuations
Mohamed El Hedi Bahri, Ian Jauslin, Joel L. Lebowitz
We consider classical particles in the continuum in the grand canonical ensemble, with a stable, tempered and lower-regular pair potential and boundary conditions of uniformly boun…
Liquid-vapor transition in a model of a continuum particle system with finite-range modified Kac pair potential
Qidong He, Ian Jauslin, Joel Lebowitz +1
We prove the existence of a phase transition in dimension in a continuum particle system interacting with a pair potential containing a modified attractive Kac potential of r…
Incommensurate Twisted Bilayer Graphene: emerging quasi-periodicity and stability
Ian Jauslin, Vieri Mastropietro
We consider a lattice model of twisted bilayer graphene (TBG) for incommensurate twist angles, focusing on the role of large-momentum-transfer Umklapp terms. These terms, which nea…
High-fugacity expansion and crystallization in non-sliding hard-core lattice particle models without a tiling constraint
Qidong He, Ian Jauslin
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…
An Introduction to Lieb's Simplified approach to the Bose gas
Ian Jauslin
This is a book about Lieb's Simplified approach to the Bose gas, which is a family of effective single-particle equations to study the ground state of many-body systems of interact…
Evidence of a liquid phase in interacting Bosons at intermediate densities
Ian Jauslin
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 Simplified approach to the Bose gas without translation invariance
Ian Jauslin
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 t…
Non-perturbative Solution of the 1d Schrodinger Equation Describing Photoemission from a Sommerfeld model Metal by an Oscillating Field
Ovidiu Costin, Rodica Costin, Ian Jauslin +1
We analyze non-perturbatively the one-dimensional Schrödinger equation describing the emission of electrons from a model metal surface by a classical oscillating electric field. Pl…
The Hierarchical Graphene model
Ian Jauslin
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 m…
Review of a Simplified Approach to study the Bose gas at all densities
Ian Jauslin
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 fam…
Random translation-invariant Hamiltonians and their spectral gaps
Ian Jauslin, Marius Lemm
We consider random translation-invariant frustration-free quantum spin Hamiltonians on in which the nearest-neighbor interaction in every direction is randomly sample…
A simplified approach to the repulsive Bose gas from low to high densities and its numerical accuracy
Eric A. Carlen, Markus Holzmann, Ian Jauslin +1
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 perturbati…
Analysis of a simple equation for the ground state of the Bose gas II: Monotonicity, Convexity and Condensate Fraction
Eric A. Carlen, Ian Jauslin, Elliott H. Lieb
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…
A Theorem on Ellipses, an Integrable System and a Theorem of Boltzmann
Giovanni Gallavotti, Ian Jauslin
We study a mechanical system that was considered by Boltzmann in 1868 in the context of the derivation of the canonical and microcanonical ensembles. This system was introduced as…
On the convolution inequality
Eric A. Carlen, Ian Jauslin, Elliott H. Lieb +1
We consider the inequality for real integrable functions on dimensional Euclidean space where denotes the convolution of with itself. We s…
Analysis of a simple equation for the ground state energy of the Bose gas
Eric Carlen, Ian Jauslin, Elliott H. Lieb
In 1963 a partial differential equation with a convolution non-linearity was introduced in connection with a quantum mechanical many-body problem, namely the gas of bosonic particl…
Exact solution of the Schrodinger equation for photoemission from a metal
Ovidiu Costin, Rodica Costin, Ian Jauslin +1
We solve rigorously the time dependent Schrödinger equation describing electron emission from a metal surface by a laser field perpendicular to the surface. We consider the system…
Solution of the time dependent Schrödinger equation leading to Fowler-Nordheim field emission
Ovidiu Costin, Rodica D. Costin, Ian Jauslin +1
We solve the time-dependent Schrödinger equation describing the emission of electrons from a metal surface by an external electric field , turned on at . Starting with a wa…
Plate-nematic phase in three dimensions
Margherita Disertori, Alessandro Giuliani, Ian Jauslin
We consider a system of anisotropic plates in the three-dimensional continuum, interacting via purely hard core interactions. We assume that the particles have a finite number of a…
Nematic liquid crystal phase in a system of interacting dimers and monomers
Ian Jauslin, Elliott H. Lieb
We consider a monomer-dimer system with a strong attractive dimer-dimer interaction that favors alignment. In 1979, Heilmann and Lieb conjectured that this model should exhibit a n…
High-fugacity expansion, Lee-Yang zeros and order-disorder transitions in hard-core lattice systems
Ian Jauslin, Joel L. Lebowitz
We establish existence of order-disorder phase transitions for a class of "non-sliding" hard-core lattice particle systems on a lattice in two or more dimensions. All particles hav…
Crystalline ordering and large fugacity expansion for hard core lattice particles
Ian Jauslin, Joel L. Lebowitz
Using an extension of Pirogov-Sinai theory we prove phase transitions, corresponding to sublattice orderings, for a general class of hard core lattice particle systems with a finit…
Topological phase transitions and universality in the Haldane-Hubbard model
Alessandro Giuliani, Ian Jauslin, Vieri Mastropietro +1
We study the Haldane-Hubbard model by exact Renormalization Group techniques. We construct the topological phase diagram, for weak interactions. We predict that many-body interacti…
A Pfaffian formula for monomer-dimer partition functions
Alessandro Giuliani, Ian Jauslin, Elliott H. Lieb
We consider the monomer-dimer partition function on arbitrary finite planar graphs and arbitrary monomer and dimer weights, with the restriction that the only non-zero monomer weig…