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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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
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 …
challenging theoretical and experimental problems in physics. For an important class of one …