Detecting the Curvature of de Sitter Universe with Two Entangled Atoms

Tian, Zehua; Wang, Jieci; Jing, Jiliang; Dragan, Andrzej

doi:10.1038/srep35222

Cited by 26 publications

(36 citation statements)

References 58 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…indicating that only the downward transition |ψ ± → |g A g B can occur for an inertial two-atom system. Here it is worth pointing out that if we choose the perpendicular alignment of the two atoms with respect to the boundary, the transition rates for the static two-atom system, Equations (22) and (23), are consistent with those derived in Ref. [18], except for a factor 1 4 in the coefficients, which can be understood to have been incorporated in the coupling constant in Ref.…”

Section: Rates Of Transition Of a Uniformly Accelerated Two-atom Systsupporting

confidence: 73%

“…The comparison of the rates of transition of the uniformly accelerated two-atom system [Equations (20) and (21)] with their counterparts in the case of an inertial two-atom system [Equations (22) and (23)], shows that the atomic non-inertial motion not only alters the downward transition rate, but also intrigues the upward transition |ψ ± → |e A e B .…”

Section: Rates Of Transition Of a Uniformly Accelerated Two-atom Systmentioning

confidence: 99%

“…Ever since the pioneering works on the FDU effect [1][2][3], effects of non-inertial motion on the transition processes of a single atom in interaction with various kinds of quantum fields and their relationships with the FDU effect have been extensively studied [7][8][9][10][11][12][13][14]. Similar investigations have also been done to more general cases of non-inertial multi-atoms in interaction with diverse quantum fields [15][16][17][18][19][20][21][22][23][24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Radiative Processes of Two Accelerated Entangled Atoms Near Boundaries

Zhang

Zhou

2019

Symmetry

View full text Add to dashboard Cite

By considering the interaction between a two-atom system and the vacuum massless scalar field in the viewpoint of an instantaneously inertial observer, we study the rates of transition of a uniformly accelerated two-atom system in the symmetric/antisymmetric entangled state near a reflecting boundary and in a cavity, respectively. We find that both the downward transition | ψ ± ⟩ → | g A g B ⟩ and the upward transition | ψ ± ⟩ → | e A e B ⟩ occur for the accelerated two-atom system, as in sharp contrast with the case of a static two-atom system, in which the upward transition can never happen. Similar to the rates of transition of atoms immersed in a thermal bath with the FDU temperature, both the downward transition rate and the upward transition rate are characterized by the Plank factor ( e 2 π ω 0 / a − 1 ) − 1 . This character of the transition rates is very different from the other radiative properties of the accelerated two-atom system, such as the resonance interatomic energy, for which the revisions of the effects of uniform acceleration are never characterized by such a factor. We show with analytical and numerical results that both the downward transition and the upward transition processes can be effectively manipulated by the atomic non-inertial motion and by the presence of boundaries. By comparing the upward transition rate with the downward transition rate, we discover that, when ω 0 ≫ a , with ω 0 and a being the energy space and the proper acceleration of the two-atom system, the disentanglement caused by the upward transition is negligible, while, if ω 0 ≪ a , the disentanglement caused by the upward transition becomes as important as that caused by the downward transition.

show abstract

Section: Rates Of Transition Of a Uniformly Accelerated Two-atom Systsupporting

confidence: 73%

Section: Rates Of Transition Of a Uniformly Accelerated Two-atom Systmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Radiative Processes of Two Accelerated Entangled Atoms Near Boundaries

Zhang

Zhou

2019

Symmetry

View full text Add to dashboard Cite

show abstract

“…where the first term in the effective Hamiltonian, physically represents the Hamiltonian of the two atomic system whereas the second term is known as the Lamb Shift Hamiltonian [16,46], which characterizes the atomic Lamb Shift that occurs due to the interaction between the massless free probe scalar field with the two atomic system under consideration in the background of static de Sitter space. It actually measures a shift in the energy levels due to this interaction.…”

Section: Effective Hamiltonian Constructionmentioning

confidence: 99%

“…Many authors have studied the physics of quantum fields in curved spacetime using one and two atomic system in the context of OQS [15][16][17]. A single detector system weakly interacting with a reservoir in quantized conformally coupled scalar field in De-Sitter space was investigated in the context of OQS in [18].…”

Section: Introductionmentioning

confidence: 99%

Open quantum entanglement: a study of two atomic system in static patch of de Sitter space

et al. 2020

View full text Add to dashboard Cite

In this work, our prime objective is to study non-locality and long range effect of two body correlation using quantum entanglement from various information theoretic measure in the static patch of de Sitter space using a two body Open Quantum System (OQS). The OQS is described by a system of two entangled atoms, surrounded by a thermal bath, which is modelled by a massless probe scalar field. Firstly, we partially trace over the bath field and construct the Gorini Kossakowski Sudarshan Lindblad (GSKL) master equation, which describes the time evolution of the reduced subsystem density matrix. This GSKL master equation is characterized by two components, these are-Spin chain interaction Hamiltonian and the Lindbladian. To fix the form of both of them, we compute the Wightman functions for probe massless scalar field. Using this result alongwith the large time equilibrium behaviour we obtain the analytical solution for reduced density matrix. Further using this solution we evaluate various entanglement measures, namely Von-Neumann entropy, R$$e'$$e′nyi entropy, logarithmic negativity, entanglement of formation, concurrence and quantum discord for the two atomic subsystem on the static patch of De-Sitter space. Finally, we have studied violation of Bell-CHSH inequality, which is the key ingredient to study non-locality in primordial cosmology.

show abstract

Resonance Interaction Energy in κ‐Minkowski Spacetime

2023

Annalen der Physik

View full text Add to dashboard Cite

If gravity is quantized, one of the consequences may be that the spacetime coordinates are quantized and become noncommutative. The κ‐Minkowski spacetime is such kind of noncommutative spacetime. In this paper, the resonance interaction energy of a two‐atom system coupled with a fluctuating vacuum scalar field in the κ‐Minkowski spacetime is studied. It is found that the resonance interaction energy is dependent on the interatomic separation, the transition wavelength of the atoms, and the spacetime non‐commutativity. When the interatomic separation is small compared with a characteristic length determined by the spacetime non‐commutativity parameter and the transition wavelength, the resonance interaction energy is that in the Minkowski spacetime plus a correction due to the spacetime non‐commutativity. When the interatomic separation is comparable to or larger than the characteristic length, the resonance interaction energy cannot be organized in the form of a Minkowski term plus a correction, which indicates that the long‐range behavior of the vacuum in the κ‐Minkowski spacetime is fundamentally different from that in the Minkowski spacetime.

show abstract

Detecting the Curvature of de Sitter Universe with Two Entangled Atoms

Cited by 26 publications

References 58 publications

Radiative Processes of Two Accelerated Entangled Atoms Near Boundaries

Radiative Processes of Two Accelerated Entangled Atoms Near Boundaries

Open quantum entanglement: a study of two atomic system in static patch of de Sitter space

Resonance Interaction Energy in κ‐Minkowski Spacetime

Contact Info

Product

Resources

About