Wigner crystallization of electrons in a one-dimensional lattice: a condensation in the space of states

M Ostilli, C Presilla - Physical Review Letters, 2021 - APS
We study the ground state of a system of spinless electrons interacting through a screened
Coulomb potential in a lattice ring. By using analytical arguments, we show that, when the …

First-order quantum phase transitions as condensations in the space of states

M Ostilli, C Presilla - Journal of Physics A: Mathematical and …, 2021 - iopscience.iop.org
We demonstrate that a large class of first-order quantum phase transitions, namely,
transitions in which the ground state energy per particle is continuous but its first order …

The exact ground state for a class of matrix Hamiltonian models: quantum phase transition and universality in the thermodynamic limit

M Ostilli, C Presilla - Journal of Statistical Mechanics: Theory and …, 2006 - iopscience.iop.org
By using a recently proposed probabilistic approach, we determine the exact ground state of
a class of matrix Hamiltonian models characterized by the fact that in the thermodynamic …

Spontaneous parity violation

PR Crompton - Physical Review D—Particles, Fields, Gravitation, and …, 2005 - APS
We disprove the Vafa-Witten theorem on the impossibility of spontaneously breaking parity
in vectorlike gauge field theories, identifying a mechanism driven by quantum fluctuations …

[HTML][HTML] Phase transitions and gaps in quantum random energy models

C Presilla, M Ostilli - Physica A: Statistical Mechanics and its Applications, 2019 - Elsevier
By using a previously established exact characterization of the ground state of random
potential systems in the thermodynamic limit, we determine the ground and first excited …

Exact nonperturbative renormalization

PR Crompton - Physical Review D—Particles, Fields, Gravitation, and …, 2006 - APS
We propose an exact renormalization group equation for lattice gauge theories, which has
no dependence on the lattice spacing. We instead relate the lattice spacing properties …

Efficient parallel implementation of Bose Hubbard model: Exact numerical ground states and dynamics of gaseous Bose–Einstein condensates

MAE Leung, WP Reinhardt - Computer physics communications, 2007 - Elsevier
We present a parallel implementation of the Bose Hubbard model, using imaginary time
propagation to find the lowest quantum eigenstate and real time propagation for simulation …

An analytical probabilistic approach to the ground state of lattice quantum systems: exact results in terms of a cumulant expansion

M Ostilli, C Presilla - Journal of Statistical Mechanics: Theory and …, 2005 - iopscience.iop.org
We present a large deviation analysis of a recently proposed probabilistic approach to the
study of the ground-state properties of lattice quantum systems. The ground-state energy as …

Quantum phase transitions induced by infinite dilution in the Fock space: a general mechanism. Proof and discussion

M Ostilli - arXiv preprint arXiv:0905.4496, 2009 - arxiv.org
We prove that lattice quantum systems may undergo a first-order quantum phase transition
through a general mechanism which consists in an infinite dilution of the states associated to …

Efficient dynamical simulation of strongly correlated one-dimensional quantum systems

SR Clark, D Jaksch - International Conference on Large-Scale Scientific …, 2005 - Springer
Studying the unitary time evolution of strongly correlated quantum systems is one of the most
challenging theoretical and experimental problems in physics. For an important class of one …