Publication
Staggered flux state for rectangular-lattice spin-1/2 Heisenberg antiferromagnets
Publications associées (37)
Neural-network quantum states for periodic systems in continuous space
Giuseppe Carleo, Gabriel Maria Pescia
We introduce a family of neural quantum states for the simulation of strongly interacting systems in the presence of spatial periodicity. Our variational state is parametrized in terms of a permutationally invariant part described by the Deep Sets neural-n ...
AMER PHYSICAL SOC2022Tensor network investigation of frustrated Ising models
In spin systems, geometrical frustration describes the impossibility of minimizing simultaneously all the interactions in a Hamiltonian, often giving rise to macroscopic ground-state degeneracies and emergent low-temperature physics. In this thesis, combin ...
EPFL2022Partial lifting of degeneracy in the J1-J2-J3 Ising antiferromagnet on the kagome lattice
Frédéric Mila, Jeanne Colbois, Andrew James Smerald
Motivated by dipolar-coupled artificial spin systems, we present a theoretical study of the classical J(1)-J(2)-J(3) Ising antiferromagnet on the kagome lattice. We establish the ground-state phase diagram of this model for J(1) > |J(2) |, |J(3) | based on ...
College Pk2022Dynamical collapse of cylindrical symmetric Dipolar Bose-Einstein condensates
We study the formation of singularities for cylindrical symmetric solutions to the Gross-Pitaevskii equation describing a Dipolar Bose-Einstein condensate. We prove that solutions arising from initial data with energy below the energy of the Ground State a ...
2020Flux Tube S-Matrix Bootstrap
Andrea Guerrieri, Aditya Hebbar
We bootstrap the S matrix of massless particles in unitary, relativistic two dimensional quantum field theories. We find that the low energy expansion of such S matrices is strongly constrained by the existence of a UV completion. In the context of flux tu ...
AMER PHYSICAL SOC2019Asymptotic Freedom and Large Spin Antiferromagnetic Chains
Building on the mapping of large-S spin chains onto the O(3) nonlinear sigma model with coupling constant 2/S, and on general properties of that model (asymptotic freedom, implying that perturbation theory is valid at high energy, and Elitzur's conjecture ...
AMER PHYSICAL SOC2019Density matrix renormalization group simulations of SU(N) Heisenberg chains using standard Young tableaus: Fundamental representation and comparison with a finite-size Bethe ansatz
Frédéric Mila, Pierre Marcel Nataf
We develop an efficient method to perform density matrix renormalization group simulations of the SU(N) Heisenberg chain with open boundary conditions taking full advantage of the SU(N) symmetry of the problem. This method is an extension of the method pre ...
2018Frustration and Randomness
Spin systems with strong magnetic interactions might remain disordered avoiding conventional magnetic long-range ordering due to zero-point quantum fluctuations, and supporting a Quantum Spin Liquid (QSL) state. Long-range quantum entanglement in QSLs prom ...
EPFL2018Dimerization and exotic criticality in spin-S chains
In this thesis we have studied the emergence of spontaneously dimerized phases in frustrated spin-S chains, with emphasis on the nature of the critical lines between the dimerized and non-dimerized phases. The main numerical method used in this thesis is t ...
EPFL2017A comparative study of shock capturing models for the discontinuous Galerkin method
Dealing with strong shocks while retaining numerical dissipation of reasonably low level has been one of the major challenges for high order methods like discontinuous Galerkin. In the literature, various shock capturing models have been designed based on ...
Elsevier2017