Entanglement of two qubits in a relativistic orbit

In the framework of open quantum systems, we study the internal dynamics of both freely falling and static two-level atoms interacting with quantized conformally coupled massless scalar field in de Sitter spacetime. We find that the atomic transition rates depend on both the nature of de Sitter spacetime and the motion of atoms, interestingly the steady states for both cases are always driven to being purely thermal, regardless of the atomic initial states. This thermalization phenomenon is structurally similar to what happens to an elementary quantum system immersed in a thermal field, and thus reveals the thermal nature of de Sitter spacetime. Besides, we find that the thermal baths will drive the entanglement shared by the freely falling atom (the static atom) and its auxiliary partner, a same two-level atom which is isolated from external fields, to being sudden death, and the proper time for the entanglement to be extinguished is computed. We also analyze that such thermalization and disentanglement phenomena, in principle, could be understood from the perspective of table-top simulation experiment.

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Section: Introductionmentioning

confidence: 99%

Dynamics and quantum entanglement of two-level atoms in de Sitter spacetime

Tian

Jing

2014

Annals of Physics

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“…In Ref. [29], the authors study the entanglement dynamics of a two-qubit system accelerating at diametrically opposite points of a circular path initially in a Bell state, assuming that the atoms are isolated from each other before adding the two together to solve for the total density operator.…”

Section: Introductionmentioning

confidence: 99%

Entanglement dynamics for uniformly accelerated two-level atoms

2015

Phys. Rev. A

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We study, in the paradigm of open quantum systems, the entanglement dynamics of two uniformly accelerated atoms with the same acceleration perpendicular to the separation. The two-atom system is treated as an open system coupled with a bath of fluctuating massless scalar fields in the Minkowski vacuum, and the master equation that governs its evolution is derived. It has been found that, for accelerated atoms with a nonvanishing separation, entanglement sudden death is a general feature when the initial state is entangled, while for those in a separable initial state, entanglement sudden birth only happens for atoms with an appropriate interatomic separation and sufficiently small acceleration. Remarkably, accelerated atoms can get entangled in certain circumstances while the inertial ones in the Minkowski vacuum cannot. A comparison between the results of accelerated atoms and those of static ones in a thermal bath shows that uniformly accelerated atoms exhibit features distinct from those immersed in a thermal bath at the Unruh temperature in terms of entanglement dynamics.

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“…It is needed to note that this model is in structural similarity to a bipartite quantum system in quantum information theory, with one subsystem in interaction with external environment, and the other isolated from that. In this regard, let's note that this model has been used to discuss the loss of spin entanglement for accelerated electrons in electric magnetic fields [29], and the entanglement of two qubits in a relativistic orbit [30]. Since ρ spans a sixteen dimensional vector space and the direct product of Pauli matrices including the identity, {σ i ⊗ σ j |i, j ∈ 0, · · · , 3}, form sixteen linearly independent vectors, we can expand the density matrix as…”

Section: A Evolution Of Quantum Systemmentioning

confidence: 99%

Entropic uncertainty relation in de Sitter space

2015

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The uncertainty principle restricts our ability to simultaneously predict the measurement outcomes of two incompatible observables of a quantum particle. However, this uncertainty could be reduced and quantified by a new Entropic Uncertainty Relation (EUR). By the open quantum system approach, we explore how the nature of de Sitter space affects the EUR. When the quantum memory A freely falls in the de Sitter space, we demonstrate that the entropic uncertainty acquires an increase resulting from a thermal bath with the Gibbons-Hawking temperature. And for the static case, we find that the temperature coming from both the intrinsic thermal nature of the de Sitter space and the Unruh effect associated with the proper acceleration of A also brings effect on entropic uncertainty, and the higher temperature, the greater uncertainty and the quicker the uncertainty reaches the maxima value. And finally the possible mechanism behind this phenomenon is also explored.

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Entanglement of two qubits in a relativistic orbit

Cited by 41 publications

References 36 publications

Dynamics and quantum entanglement of two-level atoms in de Sitter spacetime

Dynamics and quantum entanglement of two-level atoms in de Sitter spacetime

Entanglement dynamics for uniformly accelerated two-level atoms

Entropic uncertainty relation in de Sitter space

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