721 citations · 3.7k across the 26 of their papers we have counts for
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A Family of Non-Abelian Kitaev Models on a Lattice: Topological Confinement and Condensation
H. Bombin, M. A. Martin-Delgado
We study a family of non-Abelian topological models in a lattice that arise by modifying the Kitaev model through the introduction of single-qudit terms. The effect of these terms…
Statistical Mechanical Models and Topological Color Codes
H. Bombin, M. A. Martin-Delgado
We find that the overlapping of a topological quantum color code state, representing a quantum memory, with a factorized state of qubits can be written as the partition function of…
Non-relativistic limit in the 2+1 Dirac Oscillator: A Ramsey Interferometry Effect
A. Bermudez, M. A. Martin-Delgado, A. Luis
We study the non-relativistic limit of a paradigmatic model in Relativistic Quantum Mechanics, the two-dimensional Dirac oscillator. Remarkably, we find a novel kind of Zitterbeweg…
Exact Mapping of the 2+1 Dirac Oscillator onto the Jaynes-Cummings Model: Ion-Trap Experimental Proposal
A. Bermudez, M. A. Martin-Delgado, E. Solano
We study the dynamics of the 2+1 Dirac oscillator exactly and find spin oscillations due to a {\it Zitterbewegung} of purely relativistic origin. We find an exact mapping of this q…
DMRG study of the Bond Alternating \textbf{S}=1/2 Heisenberg ladder with Ferro-Antiferromagnetic couplings
J. Almeida, M. A. Martin-Delgado, G. Sierra
We obtain the phase diagram in the parameter space and an accurate estimate of the critical line separating the different phases. We show several measuments of the magn…
Optimal Resources for Topological 2D Stabilizer Codes: Comparative Study
H. Bombin, M. A. Martin-Delgado
We study the resources needed to construct topological 2D stabilizer codes as a way to estimate in part their efficiency and this leads us to perform a comparative study of surface…