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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
Junemann, J. ; Cadarso, A. ; Pérez García, David ; Bermúdez, A. ; García Ripoll, Juan José | American Physical Society | 2013-12-06We derive a Lieb-Robinson bound for the propagation of spin correlations in a model of spins interacting through a bosonic lattice field, which satisfies a Lieb-Robinson bound in the absence of spin-boson couplings. We apply these bounds to a sy[...]texto impreso
Bermúdez, A. ; Martín Delgado, Miguel Ángel ; Luis Aina, Alfredo | American Physical Society | 2008-03-18We study the nonrelativistic limit of a paradigmatic model in relativistic quantum mechanics, the two-dimensional Dirac oscillator. Remarkably, we find a different kind of Zitterbewegung which persists in this nonrelativistic regime, and leads t[...]texto impreso
Goldman, N. ; Satija, I. ; Nikolic, P. ; Bermúdez, A. ; Martín-Delgado Alcántara, Miguel Ángel ; Lewenstein, M. ; Spielman, I.B. | American Physical Society | 2010-12-16We lay out an experiment to realize time-reversal invariant topological insulators in alkali atomic gases. We introduce an original method to synthesize a gauge field in the near field of an atom chip, which effectively mimics the effects of spi[...]texto impreso
We show that the vibrations of a chain of trapped ions offer an interesting route to explore the physics of disordered quantum systems. By preparing the internal state of the ions in a quantum superposition, we show how the local vibrational ene[...]texto impreso
Bermúdez, A. ; Mazza, L. ; Rizzi, M. ; Goldman, N. ; Lewenstein, M. ; Martín-Delgado Alcántara, Miguel Ángel | American Physical Society | 2010-11-04We show that ultracold Fermi gases in optical superlattices can be used as quantum simulators of relativistic lattice fermions in 3 þ 1 dimensions. By exploiting laser-assisted tunneling, we find an analogue of the so-called naive Dirac fermions[...]
