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Examining non-locality and quantum coherent dynamics induced by a common reservoir.

Chen GY, Chen SL, Li CM, Chen YN - Sci Rep (2013)

Bottom Line: Here, we propose to use the steering inequality to examine the non-locality induced by a common reservoir.Compared with the Bell inequality, we find that the steering inequality has a better tolerance for examining non-locality.In view of the dynamic nature of the entangling process, we also propose to observe the quantum coherent dynamics by using the Leggett-Garg inequalities.

View Article: PubMed Central - PubMed

Affiliation: Department of Physics, National Chung Hsing University, Taichung 402, Taiwan.

ABSTRACT
If two identical emitters are coupled to a common reservoir, entanglement can be generated during the decay process. When using Bell's inequality to examine the non-locality, however, it is possible that the bound cannot be violated in some cases. Here, we propose to use the steering inequality to examine the non-locality induced by a common reservoir. Compared with the Bell inequality, we find that the steering inequality has a better tolerance for examining non-locality. In view of the dynamic nature of the entangling process, we also propose to observe the quantum coherent dynamics by using the Leggett-Garg inequalities. We also suggest a feasible scheme, which consists of two quantum dots coupled to nanowire surface plasmons, for possible experimental realization.

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Related in: MedlinePlus

The concurrence and quantum discord.The concurrence (red-dashed curve) and the quantum discord (black-solid curve) of two-emitter superradiance for the initial states: (a) /1, 0〉 and (b) . The complete set of the projectors {Πi}{cosθ/1〉 + eiϕsinθ/0〉, e−iϕsinθ/1〉 − cosθ/0〉} is found to contribute maximally to the value of  for both initial states when  (for any ϕ). Inset: The coherence (off-diagonal) term, /1, 0〉 〈0, 1/. In plotting this figure, we have assumed the inter-emitter distance: d = 0.
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f1: The concurrence and quantum discord.The concurrence (red-dashed curve) and the quantum discord (black-solid curve) of two-emitter superradiance for the initial states: (a) /1, 0〉 and (b) . The complete set of the projectors {Πi}{cosθ/1〉 + eiϕsinθ/0〉, e−iϕsinθ/1〉 − cosθ/0〉} is found to contribute maximally to the value of for both initial states when (for any ϕ). Inset: The coherence (off-diagonal) term, /1, 0〉 〈0, 1/. In plotting this figure, we have assumed the inter-emitter distance: d = 0.

Mentions: In the single excitation manifold, ρ(t) can be spanned by the basis {/1, 0〉, /0, 1〉, /0, 0〉}, where /1, 0〉 (/0, 1〉) denotes the first emitter is in the excited (ground) state with the second one in its ground (excited) state, and /0, 0〉 represents both the emitters are in the ground state. The inset in Fig. 1 shows the quantum coherence (/1, 0〉 〈0, 1/) between the two emitters in the limit of d = 0. As seen, the coherence saturates to a fixed value. This quantum coherence, created by the cross terms in the master equation, leads to the entanglement between the two emitters.


Examining non-locality and quantum coherent dynamics induced by a common reservoir.

Chen GY, Chen SL, Li CM, Chen YN - Sci Rep (2013)

The concurrence and quantum discord.The concurrence (red-dashed curve) and the quantum discord (black-solid curve) of two-emitter superradiance for the initial states: (a) /1, 0〉 and (b) . The complete set of the projectors {Πi}{cosθ/1〉 + eiϕsinθ/0〉, e−iϕsinθ/1〉 − cosθ/0〉} is found to contribute maximally to the value of  for both initial states when  (for any ϕ). Inset: The coherence (off-diagonal) term, /1, 0〉 〈0, 1/. In plotting this figure, we have assumed the inter-emitter distance: d = 0.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC3753592&req=5

f1: The concurrence and quantum discord.The concurrence (red-dashed curve) and the quantum discord (black-solid curve) of two-emitter superradiance for the initial states: (a) /1, 0〉 and (b) . The complete set of the projectors {Πi}{cosθ/1〉 + eiϕsinθ/0〉, e−iϕsinθ/1〉 − cosθ/0〉} is found to contribute maximally to the value of for both initial states when (for any ϕ). Inset: The coherence (off-diagonal) term, /1, 0〉 〈0, 1/. In plotting this figure, we have assumed the inter-emitter distance: d = 0.
Mentions: In the single excitation manifold, ρ(t) can be spanned by the basis {/1, 0〉, /0, 1〉, /0, 0〉}, where /1, 0〉 (/0, 1〉) denotes the first emitter is in the excited (ground) state with the second one in its ground (excited) state, and /0, 0〉 represents both the emitters are in the ground state. The inset in Fig. 1 shows the quantum coherence (/1, 0〉 〈0, 1/) between the two emitters in the limit of d = 0. As seen, the coherence saturates to a fixed value. This quantum coherence, created by the cross terms in the master equation, leads to the entanglement between the two emitters.

Bottom Line: Here, we propose to use the steering inequality to examine the non-locality induced by a common reservoir.Compared with the Bell inequality, we find that the steering inequality has a better tolerance for examining non-locality.In view of the dynamic nature of the entangling process, we also propose to observe the quantum coherent dynamics by using the Leggett-Garg inequalities.

View Article: PubMed Central - PubMed

Affiliation: Department of Physics, National Chung Hsing University, Taichung 402, Taiwan.

ABSTRACT
If two identical emitters are coupled to a common reservoir, entanglement can be generated during the decay process. When using Bell's inequality to examine the non-locality, however, it is possible that the bound cannot be violated in some cases. Here, we propose to use the steering inequality to examine the non-locality induced by a common reservoir. Compared with the Bell inequality, we find that the steering inequality has a better tolerance for examining non-locality. In view of the dynamic nature of the entangling process, we also propose to observe the quantum coherent dynamics by using the Leggett-Garg inequalities. We also suggest a feasible scheme, which consists of two quantum dots coupled to nanowire surface plasmons, for possible experimental realization.

Show MeSH
Related in: MedlinePlus