Entanglement dynamics in κ-deformed spacetime  

作　　者：Xiaobao Liu Zehua Tian Jiliang Jing 

机构地区：[1]Department of Physics and Electrical Engineering,Liupanshui Normal University,Liupanshui 553004,China [2]School of Physics,Hangzhou Normal University,Hangzhou 311121,China [3]CAS Key Laboratory of Microscale Magnetic Resonance and School of Physical Sciences,University of Science and Technology of China,Hefei 230026,China [4]Department of Physics,Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education,Synergetic Innovation Center for Quantum Effects and Applications,Hunan Normal University,Changsha 410081,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2024年第10期33-54,共22页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the Key Program of the National Natural Science Foundation of China(NSFC)(Grant No.12035005);supported by NSFC(Grant No.12065016);supported by NSFC(Grant No.11905218);the Discipline-Team of Liupanshui Normal University of China(Grant No.LPSSY2023XKTD11);the Scientific Research Start-Up Funds of Hangzhou Normal University(Grant No.4245C50224204016)。

摘　　要：We treat two identical and mutually independent two-level atoms that are coupled to a quantum field as an open quantum system.The master equation that governs their evolution is derived by tracing over the degree of freedom of the field.With this,we compare the entanglement dynamics of the two atoms moving with different trajectories inκ-deformed and Minkowski spacetimes.Notably,when the environment-induced interatomic interaction does not exist,the entanglement dynamics of two static atoms inκ-deformed spacetime are reduced to that in Minkowski spacetime in the case that the spacetime deformation parameterκis sufficiently large as theoretically predicted.However,if the atoms undergo relativistic motion,regardless of whether inertial or non-inertial,their entanglement dynamics inκ-deformed spacetime behave differently from that in Minkowski spacetime even whenκis large.We investigate various types of entanglement behavior,such as decay and generation,and discuss how different relativistic motions,such as uniform motion in a straight line and circular motion,amplify the differences in the entanglement dynamics between theκ-deformed and Minkowski spacetime cases.In addition,when the environment-induced interatomic interaction is considered,we find that it may also enhance the differences in the entanglement dynamics between these two spacetimes.Thus,in principle,one can tell whether she/he is inκ-deformed or Minkowski spacetime by checking the entanglement behavior between two atoms in certain circumstances.

关 键 词：quantum entanglement -deformed spacetime relativistic motion environment-induced interatomic interaction quan-tum field theory in curved spacetime 

分 类 号：O413[理学—理论物理]