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Rodriguez, A. ; Martín-Delgado Alcántara, Miguel Ángel ; Rodriguez-Laguna, J. ; Sierra, G. ; Malyshev, Andrey ; Domínguez-Adame Acosta, Francisco ; Lemaistre, I. J. | Elsevier Science BV | 2001-12The standard one-parameter scaling theory predicts that all eigenstates in two-dimensional random lattices are weakly localized. We show that this claim fails in two-dimensional dipolar Frenkel exciton systems. The linear energy dispersion at th[...]texto impreso
The 75th anniversary of Turing’s seminal paper and his centennial year anniversary occur in 2011 and 2012, respectively. It is natural to review and assess Turing’s contributions in diverse fields in the light of new developments that his though[...]texto impreso
Mazza, Leonardo ; Bermudez, Alejandro ; Goldman, Nathan ; Rizzi, Matteo ; Martín-Delgado Alcántara, Miguel Ángel ; Lewenstein, Maciej | IOP Publishing | 2012-01-31We present a proposal for a versatile cold-atom-based quantum simulator of relativistic fermionic theories and topological insulators in arbitrary dimensions. The setup consists of a spin-independent optical lattice that traps a collection of hy[...]texto impreso
Rodriguez, A. ; Malyshev, Andrey ; Sierra, G. ; Martín-Delgado Alcántara, Miguel Ángel ; Rodriguez-Laguna, J. ; Domínguez-Adame Acosta, Francisco | American Physical Society | 2003-01-17The single-parameter scaling hypothesis predicts the absence of delocalized states for noninteracting quasiparticles in low-dimensional disordered systems. We show analytically, using a supersymmetric method combined with a renormalization group[...]texto impreso
We construct a new model of two-dimensional quantum spin systems that combines intrinsic topological orders and a global symmetry called ?avour symmetry. It is referred as the bilayer Doubled Semion model (bDS) and is an instance of symmetry-enr[...]texto impreso
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
Bermúdez, A. ; Martín-Delgado Alcántara, Miguel Ángel ; Luis Aina, Alfredo | American Physical Society | 2008-06-11We study a relativistic spin-1/2 fermion subjected to a Dirac oscillator coupling and a constant magnetic field. An interplay between opposed chirality interactions culminates in the appearance of a relativistic quantum phase transition, which c[...]texto impreso
Bermúdez, A. ; Porras Torres, Diego ; Martín-Delgado Alcántara, Miguel Ángel | American Physical Society | 2009-06We propose and theoretically analyze an experimental configuration in which lasers induce three-spin interactions between trapped ions. By properly choosing the intensities and frequencies of the lasers, three-spin couplings may be dominant or c[...]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
We derive a master equation that allows us to study non-equilibrium dynamics of a quantum antiferromagnet. By resorting to spin-wave theory, we obtain a closed analytic form for the magnon decay rates. These turn out to be closely related to for[...]texto impreso
Andrist, Ruben S. ; Katzgraber, Helmut J. ; Bombin, H ; Martín-Delgado Alcántara, Miguel Ángel | American Physical Society | 2016-07-12Topological quantum error correction codes are currently among the most promising candidates for efficiently dealing with the decoherence effects inherently present in quantum devices. Numerically, their theoretical error threshold can be calcul[...]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
We introduce the characterization of a class of quantum PageRank algorithms in a scenario in which some kind of quantum network is realizable out of the current classical internet web, but no quantum computer is yet available. This class represe[...]texto impreso
Ortiz Martín, Laura ; Varona Angulo, Santiago ; Martín-Delgado Alcántara, Miguel Ángel | American Physical Society | 2018-02-01We study the localization and oscillation properties of the Majorana fermions that arise in a two-dimensional electron gas (2DEG) with spin-orbit coupling (SOC) and a Zeeman field coupled with a d-wave superconductor. Despite the angular depende[...]texto impreso
We introduce the concept of nested topological order in a class of exact quantum lattice Hamiltonian models with non-Abelian discrete gauge symmetry. The topological order present in the models can be partially destroyed by introducing a gauge s[...]
