Distillability sudden death in two-qutrit systems with external magnetic field and Dzyaloshinskii-Moriya interaction due to decoherence

Abstract

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 twoqutrit 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.

Distillability sudden death and sudden birth in a two-qutrit system under decoherence at finite temperature

“…Based on Refs. [21][22][23][24][25][26][27][28][29][30], for a separable state ρ, the negativity is zero or negative, namely N (ρ) ≤ 0, and the realignment criterion implies that R(ρ) ≤ 0. For a positive partial transpose (PPT) state, the realignment criterion R(ρ) > 0 can prove the bound entangled state.…”

“…More recently, Mazhar Ali demonstrated free entangled states may be converted into bound entangled states or separable states in the presence of both collective and multi-local noises [16,17]. Later this phenomenon was extended to two-qutrit interacting with thermal reservoirs [18,19] and the presence of the external magnetic field [20,21]. Besides, Derkacz and Jakóbczyk demonstrated the sudden birth of distillable entanglement for two identical three-level atoms coupled to the common vacuum [24][25][26].…”

“…On the contrary, when an initially prepared in bound entangled or separable state becomes a distillable entangled state in a finite time, then it is said that it undergoes distillability sudden birth [22]. Recently great attention has been paid to the development of works on distillability sudden death [23][24][25][26][27][28][29][30] and sudden birth [31][32][33] addressing the practical problems of environmental decoherence. For example, Mazhar Ali investigated distillability sudden death of two-qutrit systems in the presence of either collective or multilocal noises [23,24].…”

“…For example, Mazhar Ali investigated distillability sudden death of two-qutrit systems in the presence of either collective or multilocal noises [23,24]. This behavior of distillability sudden death was later extended to two-qutrit systems interacting with thermal reservoirs [25,26] as well as in the presence of the external magnetic field [27,28]. Derkacz and Jakóbczyk demonstrated the revivals of distillable entanglement for two identical three-level atoms coupled to the common vacuum [31][32][33].…”

“…To the contrary, if an initial prepared in bound entangled or separable states becomes distillable entangled states, then it is said that it undergoes distillability sudden birth [15]. Recently great attention has been paid to the development of work on distillability sudden death [16][17][18][19][20][21][22][23] and sudden birth [24][25][26] addressing the practical problems of environmental decoherence. In particular, under certain types of environment interaction, certain distillable entangled states may be converted into bound entangled or separable states in a finite time and vice versa.…”