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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Quantum transitions and quantum entanglement from Dirac-like dynamics simulated by trapped ions

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Bittencourt, Victor A. S. V. [1] ; Bernardini, Alex E. [1] ; Blasone, Massimo [2, 3]
Total Authors: 3
[1] Univ Fed Sao Carlos, Dept Fis, POB 676, BR-13565905 Sao Carlos, SP - Brazil
[2] Univ Salerno, Dipartimento Fis, Via Giovanni Paolo 2, 132, I-84084 Fisciano - Italy
[3] Ist Nazl Fis Nucl, Sezione Napoli, Grp Collegato Salerno, Naples - Italy
Total Affiliations: 3
Document type: Journal article
Source: Physical Review A; v. 93, n. 5 MAY 17 2016.
Web of Science Citations: 7

Quantum transition probabilities and quantum entanglement for two-qubit states of a four-level trapped ion quantum system are computed for time-evolving ionic states driven by Jaynes-Cummings Hamiltonians with interactions mapped onto a SU(2) circle times SU( 2) group structure. Using the correspondence of the method of simulating a 3 + 1 dimensional Dirac-like Hamiltonian for bispinor particles into a single trapped ion, one preliminarily obtains the analytical tools for describing ionic state transition probabilities as a typical quantum oscillation feature. For Dirac-like structures driven by generalized Poincare classes of coupling potentials, one also identifies the SU(2) circle times SU(2) internal degrees of freedom corresponding to intrinsic parity and spin polarization as an adaptive platform for computing the quantum entanglement between the internal quantum subsystems which define two-qubit ionic states. The obtained quantum correlational content is then translated into the quantum entanglement of two-qubit ionic states with quantum numbers related to the total angular momentum and to its projection onto the direction of the trapping magnetic field. Experimentally, the controllable parameters simulated by ion traps can be mapped into a Dirac-like system in the presence of an electrostatic field which, in this case, is associated to ionic carrier interactions. Besides exhibiting a complete analytical profile for ionic quantum transitions and quantum entanglement, our results indicate that carrier interactions actively drive an overall suppression of the quantum entanglement. (AU)

FAPESP's process: 15/05903-4 - SU(2) x SU(2) bi-spinor structure entanglement and additional quantum correlations exhibited by Dirac-like systems as graphene and trapped ions
Grantee:Alex Eduardo de Bernardini
Support type: Regular Research Grants