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Sudden death of distillability in a two-qutrit anisotropic Heisenberg spin model

You-neng Guo, Mao-Fa Fang, Hong‐Mei Zou, Shiyang Zhang, Xiang Liu

Published Apr 10, 2015• 6 citations
Publisher
DOI
10.1007/s11128-015-0974-4

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Recently Song et al. [Phys. Rev. A 80, 012331 (2009)] discovered that certain two-qutrit entangled states interacting with multilocal dephasing undergo distillability sudden death (DSD). We generalized their studies for quantum states under global, collective, and multilocal dephasing. We found that for a specific family of quantum states DSD and entanglement sudden death may happen under global dephasing as well as under multilocal dephasing. Moreover, for these states simple local unitary transformations may not avoid DSD under the current dynamics. As there is no definitive criterion for separability or entanglement of density matrices with dimensions greater than six, therefore we believe that the results obtained in this article are restricted to the specific family of states considered here.

arXiv:0911.0767•Physical Review A•Apr 8, 2010•43 citations
Recently, Mazhar Ali ( Phys. Rev. A , 81 (2010) 042303 and J. Phys. B , 43 (2010) 045504) showed the phenomenon of distillability sudden death (DSD) in qutrit-qutrit systems under amplitude damping. In this paper, the phenomenon of distillability sudden death in two-qutrit systems which are in the presence of the external magnetic field and Dzyaloshinskii-Moriya (DM) interaction under decoherence has been investigated. With the help of the realignment criterion, we show that certain initial prepared free entangled states may become bound entangled states in a finite time. Moreover, the effects of the external magnetic field strength and the DM interaction parameter, as well as the intrinsic decoherence parameter on the possibility of DSD in our model have been studied in detail.
We study the distillability of an initially distillable two-qutrit entangled state in anisotropic band-gap photonic crystal with one resonant frequency between the two upper levels.We find distillability sudden death may occur in such qutrit-qutrit system.But distillability resuscitation can be found after this phenomenon in suitable condition.The duration of bound-entangled state(non-distillable) is controlled by the resonant control laser and the detuning of the atomic frequency inside the gap with respect to the band-edge.
Recently Song et al. [Phys. Rev. A 80, 012331 (2009)] discovered that certain two-qutrit entangled states interacting with multilocal dephasing undergo distillability sudden death (DSD). We generalized their studies for quantum states under global, collective, and multilocal dephasing. We found that for a specific family of quantum states DSD and entanglement sudden death may happen under global dephasing as well as under multilocal dephasing. Moreover, for these states simple local unitary transformations may not avoid DSD under the current dynamics. As there is no definitive criterion for separability or entanglement of density matrices with dimensions greater than six, therefore we believe that the results obtained in this article are restricted to the specific family of states considered here.