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

Thermal entanglement of a coupled electronic spins system: interplay between an external magnetic... 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 $$B^{(c)}_{\mathrm{ext},z} \sim 39$$ B ext , z ( c ) ∼ 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 $$T_\mathrm{c}$$ T c follows a polynomial growth as a function of the DM term, with characteristic behavior $$T_{\mathrm{c}} \sim \beta _{0}^{2}$$ T c ∼ β 0 2 , and the hyperfine field implies a critical temperature as a function of the field variance, $$\sigma $$ σ of the form $$T_{\mathrm{c}} \sim \sigma ^{2}$$ T c ∼ σ 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

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

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Publisher
Springer Journals
Copyright
Copyright © 2015 by Springer Science+Business Media New York
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-015-0946-8
Publisher site
See Article on Publisher Site

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 $$B^{(c)}_{\mathrm{ext},z} \sim 39$$ B ext , z ( c ) ∼ 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 $$T_\mathrm{c}$$ T c follows a polynomial growth as a function of the DM term, with characteristic behavior $$T_{\mathrm{c}} \sim \beta _{0}^{2}$$ T c ∼ β 0 2 , and the hyperfine field implies a critical temperature as a function of the field variance, $$\sigma $$ σ of the form $$T_{\mathrm{c}} \sim \sigma ^{2}$$ T c ∼ σ 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.

Journal

Quantum Information ProcessingSpringer Journals

Published: Feb 27, 2015

References

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