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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

Testing the Bell-CHSH and steering inequalities during the superradiant process.Assuming a general initial state: cos α/1, 0〉 − sin α/0, 1〉, we plot in (a) the maximum value of the Bell-CHSH inequality and in (b) the steering parameter as functions of time and α in the limit of d = 0. In plotting the figure, the time t is in unit of 1/γ.
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f2: Testing the Bell-CHSH and steering inequalities during the superradiant process.Assuming a general initial state: cos α/1, 0〉 − sin α/0, 1〉, we plot in (a) the maximum value of the Bell-CHSH inequality and in (b) the steering parameter as functions of time and α in the limit of d = 0. In plotting the figure, the time t is in unit of 1/γ.

Mentions: Let us first utilize the Bell inequality to test the non-local properties of the emitters during the collective decay. The Bell quantity associated with the CHSH inequality has the following form25, where , , , are unit vectors in R3. Here, , where σi is the standard Pauli matrix. Then, the CHSH inequality of a state ρ is The maximum value of the CHSH inequality is given by Assuming a general initial state: cos α/1, 0〉 − sin α/0, 1〉, we plot in Fig. 2(a) the maximum value of the CHSH inequality (Bmax) as functions of time and α in the limit of d = 0 for the superradiant process.


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

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

Testing the Bell-CHSH and steering inequalities during the superradiant process.Assuming a general initial state: cos α/1, 0〉 − sin α/0, 1〉, we plot in (a) the maximum value of the Bell-CHSH inequality and in (b) the steering parameter as functions of time and α in the limit of d = 0. In plotting the figure, the time t is in unit of 1/γ.
© Copyright Policy - open-access
Related In: Results  -  Collection

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

f2: Testing the Bell-CHSH and steering inequalities during the superradiant process.Assuming a general initial state: cos α/1, 0〉 − sin α/0, 1〉, we plot in (a) the maximum value of the Bell-CHSH inequality and in (b) the steering parameter as functions of time and α in the limit of d = 0. In plotting the figure, the time t is in unit of 1/γ.
Mentions: Let us first utilize the Bell inequality to test the non-local properties of the emitters during the collective decay. The Bell quantity associated with the CHSH inequality has the following form25, where , , , are unit vectors in R3. Here, , where σi is the standard Pauli matrix. Then, the CHSH inequality of a state ρ is The maximum value of the CHSH inequality is given by Assuming a general initial state: cos α/1, 0〉 − sin α/0, 1〉, we plot in Fig. 2(a) the maximum value of the CHSH inequality (Bmax) as functions of time and α in the limit of d = 0 for the superradiant process.

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