Quantum entanglement in the background of cosmic string spacetime
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Quantum entanglement in the background of cosmic string spacetime Zhiming Huang1 · Zhimin He2,3 Received: 15 March 2020 / Accepted: 1 August 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract We examine the entanglement behaviors for two static atoms coupled to a massless scalar field in the cosmic string spacetime. The entanglement measure is calculated for different cases for two atoms initially prepared in the Werner state. It is found that entanglement behaviors depend on vacuum fluctuation, two-atom distance and nontrivial spacetime topology. When deficit angle parameter ν = 1, the evolution model reduces to that of Minkowski spacetime. When two-atom distance is sufficiently small, entanglement can be preserved from the impact of vacuum fluctuation to some extent. Large deficit angle parameter can accelerate destruction of entanglement and shorten lifetime of entanglement. Entanglement presents slight oscillating behavior as atom–string distance varies. A large atom–string distance can retard the entanglement decay and extend entanglement lifetime as a whole. Our exploration may be useful to sense the cosmic string spacetime topology structure and property in principle. Keywords Quantum entanglement · Cosmic string spacetime · Massless scalar field
1 Introduction As the most fascinating quantum property, quantum entanglement plays a key role in quantum information and quantum computation [1,2]. However, the inevitable interaction of quantum system with environment may damage quantum entanglement, such as fluctuation-induced interaction between atom and quantum field. Recently, the
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Zhimin He [email protected] Zhiming Huang [email protected]
1
School of Economics and Management, Wuyi University, Jiangmen 529020, China
2
School of Electronic and Information Engineering, Foshan University, Foshan 528000, China
3
Center for Quantum Computing, Peng Cheng Laboratory, Shenzhen 518055, China 0123456789().: V,-vol
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entanglement dynamics was investigated for atoms coupling to fluctuating scalar field or electromagnetic field in Minkowski spacetime, and the results showed that there existed phenomena of degradation, generation, revival and enhancement in entanglement under influence of vacuum fluctuation [3,4]. Investigation of entanglement dynamics in curved spacetime was conducted [5], and the results showed that entanglement behaviors could be exploited to distinguish de Sitter spacetime from thermal Minkowski spacetime. Furthermore, some authors [6–12] studied the entanglement harvesting in different space backgrounds. On the other hand, cosmic string spacetime is a typical curved spacetime with nontrivial topology. The cosmic string is introduced by grand unification theories (GUTs), which is created in the early universe as a consequence of symmetry breaking phase transitions [13]. The simplest cosmic string spacetime is characterized by a deficit angle around a straight and infinitely long cosmic string, which is locally flat but no
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