315 citations · 3.1k across the 59 of their papers we have counts for
6 papers · 1 filter
Dynamical generation of Floquet Majorana flat bands in s-wave superconductors
Amrit Poudel, Gerardo Ortiz, Lorenza Viola
We present quantum control techniques to engineer flat bands of symmetry-protected Majorana edge modes in s-wave superconductors. Specifically, we show how periodic control may be…
Fast Quantum Methods for Optimization
Sergio Boixo, Gerardo Ortiz, Rolando Somma
Discrete combinatorial optimization consists in finding the optimal configuration that minimizes a given discrete objective function. An interpretation of such a function as the en…
Composite fermion-boson mapping for fermionic lattice models
Jinmo Zhao, Carlos A. Jimenez-Hoyos, Gustavo E. Scuseria +4
We present a mapping of elementary fermion operators onto a quadratic form of composite fermionic and bosonic operators. The mapping is an exact isomorphism as long as the physical…
Zero modes, Bosonization and Topological Quantum Order: The Laughlin State in Second Quantization
Tahereh Mazaheri, Gerardo Ortiz, Zohar Nussinov +1
We introduce a "second-quantized" representation of the ring of symmetric functions to further develop a purely second-quantized -- or "lattice" -- approach to the study of zero mo…
Many-body characterization of topological superconductivity: The Richardson-Gaudin-Kitaev chain
Gerardo Ortiz, Jorge Dukelsky, Emilio Cobanera +2
What distinguishes trivial from topological superluids in interacting many-body systems where the number of particles is conserved? Building on a class of integrable pairing Hamilt…
Quasi-Critical Brain Dynamics on a Non-Equilibrium Widom Line
Rashid V. Williams-Garcia, Mark Moore, John M. Beggs +1
Is the brain really operating at a critical point? We study the non-equilibrium properties of a neural network which models the dynamics of the neocortex and argue for optimal quas…