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Viyuela García, Óscar ; Fu, Liang ; Martín-Delgado Alcántara, Miguel Ángel | American Physical Society | 2018-01-05We study the phase diagram and edge states of a two-dimensional p-wave superconductor with longrange hopping and pairing amplitudes. New topological phases and quasiparticles different from the usual short-range model are obtained. When both hop[...]texto impreso
Rivas Vargas, Ángel ; Viyuela García, Óscar ; Martín-Delgado Alcántara, Miguel Ángel | American Physical Society | 2013-10-31Thermal noise can destroy topological insulators (TI). However, we demonstrate how TIs can be made stable in dissipative systems. To that aim, we introduce the notion of band Liouvillian as the dissipative counterpart of band Hamiltonian, and sh[...]texto impreso
Viyuela García, Óscar ; Rivas Vargas, Ángel ; Martín-Delgado Alcántara, Miguel Ángel | IOP Publishing | 2012-03-30We have studied the dynamics of a generalized toric code based on qudits at finite temperature by finding the master equation coupling the code’s degrees of freedom to a thermal bath. We find that in the case of qutrits, new types of anyons and [...]texto impreso
Viyuela García, Óscar ; Rivas Vargas, Ángel ; Martín-Delgado Alcántara, Miguel Ángel | American Physical Society | 2012-10-23We have studied the dynamical thermal effects on the protected end states of a topological insulator (TI) when it is considered as an open quantum system in interaction with a noisy environment at a certain temperature T . As a result, we find t[...]texto impreso
Viyuela García, Óscar ; Vodola, V. ; Pupillo, G. ; Martín-Delgado Alcántara, Miguel Ángel | American Physical Society | 2016-09-13We discover novel topological effects in the one-dimensional Kitaev chain modified by long-range Hamiltonian deformations in the hopping and pairing terms. This class of models display symmetry-protected topological order measured by the Berry/Z[...]texto impreso
The growing field of topological orders has been extensively studied both form the communities of condensed matter and quantum simulation. However, very little is known about the fate of topological order in the presence of disturbing effects su[...]texto impreso
Viyuela García, Óscar ; Rivas Vargas, Ángel ; Martín-Delgado Alcántara, Miguel Ángel | American Physical Society | 2014-08-13We construct a topological invariant that classifies density matrices of symmetry-protected topological orders in two-dimensional fermionic systems. As it is constructed out of the previously introduced Uhlmann phase, we refer to it as the topol[...]
