Entanglement behavior of quantum states of fermionic systems in an accelerated frame

Abstract

In this paper, we investigate the behavior of bipartite entanglement of fermonic systems when one of parties is traveling with a uniform acceleration. For the ordering problem in fermonic systems, we apply the recent result in [Montero and Martín-Martínez, Phys. Rev. A 83 052306 (2011)]. Based on the approach, we consider both pure and mixed entangled states, and we show that the behavior in terms of the entanglement measure, negativity, allows one to obtain physical results, i.e. its convergence in the infinite acceleration. The behavior shows that the ordering employed is relevant to derive physical results for fermonic entanglement. This also corrects the previous analysis of [Martín-Martínez and Fuentez.

Quantum coherence behaviors of fermionic system in non-inertial frame

“…As mentioned above, quantum coherence as a crucial quantum resource is closely connected with other nonclassical correlation resource, thus we will compare the dynamics of quantum coherence in an accelerated frame with entanglement and geometric quantum discord. We find that quantum coherence, geometric quantum discord and entanglement have different behavior with other nonclassical correlation [19,21,23,24]. Actually, the acceleration of observers can be treated as certain "environmental decoherence" and the effect will degrade the quantum correlation from the perspective of accelerated observers [10].…”

Limitation to Communication of Fermionic System in Accelerated Frame

“…From now on, for simplicity, the index will be omitted. It should be noted that the physical ordering of the fermionic system was recently introduced by [24][25][26][27][28]. The physical ordering of the fermionic system means that in order to obtain a physical result, the ordering should be rearranged as the form of particle and antiparticle in the separate regions.…”

“…Up to our knowledge, the study for the communication using the fermionic system was performed only by the single mode approximation which seems not to be a perfect one. Recently a physical ordering beyond single-mode approximation [24,25,27] was proposed. Therefore using the physical structure, we investigate the quantum(classical) communication between an inertial observer called Alice and accelerated observers Bob or anti-Bob moving with opposite accelerations in causally disconnected regions, when the fermionic version of single rail and double rail encodings is used as the quantum channel.…”

No survival of Nonlocalilty of fermionic quantum states with alpha vacuum in the infinite acceleration limit

“…However, it turned out that the entanglement behavior depends on the physical system, whether given systems are bosonic or fermionic. In other words, the entanglement of bosonic system vanishes in the limit of the infinite acceleration but entanglement of fermionic system shows a convergent behavior, which means the survival of entanglement even in that limit [3,6,8,9]. So it was argued that the existence of entanglement in the infinite acceleration limit seems to be caused due to the particle's statistical behavior.…”

“…The quantum information in a relativistic regime has been extensively investigated recently [1][2][3][4][5][6][7][8][9][10][11][12]. One of the main researches is focused on the case that one of the parties sharing the entangled state travels in an accelerated frame.…”