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Quantum Information Processing

, Volume 14, Issue 6, pp 1973–1996 | Cite as

Thermal entanglement of a coupled electronic spins system: interplay between an external magnetic field, nuclear field and spin–orbit interaction

  • Roberto J. Guerrero M.
  • F. Rojas
Article

Abstract

We have studied the thermal entanglement as a function of the temperature for a two-qubits Heisenberg spins system; we have included Dzyaloshinskii–Moriya interaction (DM), an external magnetic field (EMF) and hyperfine interaction due to the nuclear field of the surrounding nuclei. A critical value for the EMF was found, around \(B^{(c)}_{\mathrm{ext},z} \sim 39\) mT, which characterizes two regimes of behavior of the thermal entanglement. Our results show that the DM term acts as a facilitator for the entanglement because it prolongs the nonzero thermal entanglement for larger temperatures. We found that the concurrence as a function of the temperature has a local maximum, for values of the magnetic field larger than the critical field. We also show that the critical temperature \(T_\mathrm{c}\) follows a polynomial growth as a function of the DM term, with characteristic behavior \(T_{\mathrm{c}} \sim \beta _{0}^{2}\), and the hyperfine field implies a critical temperature as a function of the field variance, \(\sigma \) of the form \(T_{\mathrm{c}} \sim \sigma ^{2}\). We show that in this system, the entanglement measure by the concurrence and the one-spin polarization observable exhibit opposite behavior, providing a method to obtain the entanglement from the measurement of an observable.

Keywords

Quantum computation Quantum entaglement Entaglement production Thermal entaglement Quantum dots 

Notes

Acknowledgments

We would like to thanks DGAPA-UNAM for support with the Project IN112012 and R.G. thanks CONACYT and CICESE for financial aid with a PhD scholarship.

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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Centro de Ingeniería y TecnologíaUniversidad Autónoma de Baja CaliforniaTijuanaMexico
  2. 2.Departamento de Física Teórica, Centro Nanociencias y NanotecnologiaUniversidad Nacional Autónoma de MéxicoEnsenadaMexico

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