Two-particle correlations and

Dass, G.V.; Sarma, K.V.L.

doi:10.1007/s100520050270

Cited by 12 publications

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“…Thus C itself is a kind of entanglement measure in its own right. Defining the spin flipped stateρ of ρ bỹ 22) where ρ * is the complex conjugate and is taken in the standard basis, i.e. the basis {| ↑↑ , | ↓↓ , | ↑↓ , | ↓↑ }, the concurrence C is given by the formula…”

Section: Definitionsmentioning

confidence: 99%

“…For instance, QM versus local realistic theories [1][2][3][4] and Bell inequalities [5][6][7][8][9][10][11][12] have been tested. Furthermore, possible deviations from the quantum mechanical time evolution have been studied, particularly in the neutral K-meson system [13][14][15][16][17][18][19] and B-meson system [20][21][22][23][24]. Recently also neutrino oscillations have become of interest in this connection [25].…”

Section: Introductionmentioning

confidence: 99%

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Decoherence of entangled kaons and its connection to entanglement measures

2003

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We study the time evolution of the entangled kaon system by considering the Liouville -von Neumann equation with an additional term which allows for decoherence. We choose as generators of decoherence the projectors to the 2-particle eigenstates of the Hamiltonian. Then we compare this model with the data of the CPLEAR experiment and find in this way an upper bound on the strength λ of the decoherence. We also relate λ to an effective decoherence parameter ζ considered previously in literature. Finally we discuss our model in the light of different measures of entanglement, i.e. the von Neumann entropy S, the entanglement of formation E and the concurrence C, and we relate the decoherence parameter ζ to the loss of entanglement: 1 − E.

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Section: Definitionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Decoherence of entangled kaons and its connection to entanglement measures

2003

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“…Finally, it is worth commenting that quantum entanglement is also ubiquitous in B-meson oscillations, where the process of "flavor" tagging actually disentangles the entangled B 0 q −B 0 q state produced by Υ(4s) decay [28,52,53], and quantum entanglement of the C = −1 B s B s pair produced in the decay of the Υ(5s) has been invoked for a determination of the width difference [54]. Thus neutrino mixing is yet another fascinating manifestation of quantum entanglement in a system that maintains macroscopic quantum coherence over scales of kilometers.…”

Section: Conclusion and Further Questionsmentioning

confidence: 99%

Short baseline neutrino oscillations: When entanglement suppresses coherence

Boyanovsky

2011

Phys. Rev. D

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For neutrino oscillations to take place the entangled quantum state of a neutrino and a charged lepton produced via charged current interactions must be disentangled. Implementing a nonperturbative Wigner-Weisskopf method we obtain the correct entangled quantum state of neutrinos and charged leptons from the (two-body) decay of a parent particle. The source lifetime and disentanglement length scale lead to a suppression of the oscillation probabilities in short-baseline experiments. The suppression is determined by π L s /L osc where L s is the smallest of the decay length of the parent particle or the disentanglement length scale. For L s ≥ L osc coherence and oscillations are suppressed. These effects are more prominent in short base line experiments and at low neutrino energy. We obtain the corrections to the appearance and disappearance probabilities modified by both the lifetime of the source and the disentanglement scale and discuss their implications for accelerator and reactor experiments. These effects imply that fits to the experimental data based on the usual quantum mechanical formulation underestimate sin 2 (2θ) and δm 2 , and are more dramatic for δm 2 ≃ eV 2 , the mass range for new generations of sterile neutrinos that could explain the short-baseline anomalies and long disentanglement length scales.

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“…In this context there have been many attempts to connect foundational aspects such as decoherence and quantum coherence over macroscopic distances in these meson systems [5][6][7][8][9][10][11][12][13]. Here our motivation is to study the impact of decoherence on B meson systems with specific emphasis on B s mesons where a lot of accurate data is recently coming from LHC.…”

Section: Introductionmentioning

confidence: 99%

Decoherence freeBdandBsmeson systems

Alok

Banerjee

2013

Phys. Rev. D

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We study the impact of decoherence on B meson systems with specific emphasis on B s . For consistency we also study the B d mesons based on the most recent data. We find that the B d mesons are 34σ away from total decoherence, while the B s mesons are seen to be upto 31σ away from total decoherence. Thus, our results prove, with experimental verity, that neutral meson systems are free from decoherence effects. Therefore, this provides a very useful laboratory for testing the foundations of quantum mechanics.

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Two-particle correlations and

Cited by 12 publications

References 0 publications

Decoherence of entangled kaons and its connection to entanglement measures

Decoherence of entangled kaons and its connection to entanglement measures

Short baseline neutrino oscillations: When entanglement suppresses coherence

Decoherence freeBdandBsmeson systems

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