Spin-particles entanglement in Robertson-Walker spacetime

Moradi, Shahpoor; Pierini, Roberto; Mancini, Stefano

doi:10.1103/physrevd.89.024022

Cited by 29 publications

(40 citation statements)

References 16 publications

(19 reference statements)

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“…We specialize to a conformal factor of a form (see [25][26][27][28]37]), in which the conformal factor a(η) can be written as a(η) = 1 + (1 + tanh ρη), where and ρ are positive real parameters, corresponding to the ratio between the initial and final volume and the expansion rate of the universe [25,29], respectively. Note that a(η) is constant in the far past η → −∞ and far future η → +∞, which means that the spacetime tends to a flat Minkowskian spacetime asymptotically.…”

Section: Quantization Of Dirac Fields In Expanding Universementioning

confidence: 99%

Parameter estimation for an expanding universe

Wang¹,

Tian²,

Jing³

et al. 2015

Nuclear Physics B

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We study the parameter estimation for excitations of Dirac fields in the expanding Robertson-Walker universe. We employ quantum metrology techniques to demonstrate the possibility for high precision estimation for the volume rate of the expanding universe. We show that the optimal precision of the estimation depends sensitively on the dimensionless mass $\tilde{m}$ and dimensionless momentum $\tilde{k}$ of the Dirac particles. The optimal precision for the ratio estimation peaks at some finite dimensionless mass $\tilde{m}$ and momentum $\tilde{k}$. We find that the precision of the estimation can be improved by choosing the probe state as an eigenvector of the hamiltonian. This occurs because the largest quantum Fisher information is obtained by performing projective measurements implemented by the projectors onto the eigenvectors of specific probe states.Comment: 12 pages, 2 figures, published versio

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Section: Quantization Of Dirac Fields In Expanding Universementioning

confidence: 99%

Parameter estimation for an expanding universe

Wang¹,

Tian²,

Jing³

et al. 2015

Nuclear Physics B

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“…Recently, quantum information has been studied in relativistic limit such as generation and degradation of entanglement in inertial frames, 1-3 noninertial frames 4-10 and expanding universe. [11][12][13] Relativistic quantum information aims to understand the relationship between special and general relativity and quantum information.…”

Section: Introductionmentioning

confidence: 99%

Entanglement generation due to the background electric field and curvature of space–time

Ebadi

Mirza

2015

Int. J. Mod. Phys. A

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In Schwinger effect, quantum vacuum instability under the influence of an electric field leads to decay of vacuum into pairs of charged particles. We consider the entanglement of pair produced particles. We will show that the measure of entanglement depends on the geometry of space-time. Using the Schwinger pair production in curved space-time, dS 2 and AdS 2 , we propose and demonstrate that the electric field can generate entanglement. In dS 2 space-time, we study entanglement for scalar particles with zero spin in the absence and presence of a constant electric field. We show that the entanglement entropy depends on the choice of the α-vacua. But, for some values of the related parameters (mass, charge, scalar curvature, electric field), the entanglement entropy is independent of α. Also, we consider the generation of entanglement in the presence of a constant electric field for anti-de Sitter space-time. We will show that the positive (negative) curvature of space-time upgrades (degrades) the generated entanglement.

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“…As usual [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37], the in vacuum can be expanded in terms of the out states of modes k and −k,…”

Section: Entanglement Creation In the Constant Electric Fieldmentioning

confidence: 99%

“…Some concepts developed in quantum information theory have been applied to quantum states near a black hole [27][28][29][30][31][32] and in an expanding universe [33][34][35][36]. This effort has also been extended to Schwinger effect, and the entanglement between one Dirac mode and the rest of the system was calculated [37].…”

Section: Introductionmentioning

confidence: 99%

Pairwise mode entanglement in Schwinger production of particle-antiparticle pairs in an electric field

Dai

Shi

2017

Phys. Rev. D

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Quantum entanglement is the characteristic quantum correlation. Here we use this concept to analyze the quantum entanglement generated by Schwinger production of particle-antiparticle pairs in an electric field, as well as the change of mode entanglement as a consequence of the electric field effect on an entangled pair of particles. The system is partitioned by using momentum modes.Various kinds of pairwise mode entanglement are calculated as functions of the electric field. Both constant and pulsed electric fields are considered. The use of entanglement exposes information beyond that in particle number distributions.

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Spin-particles entanglement in Robertson-Walker spacetime

Cited by 29 publications

References 16 publications

Parameter estimation for an expanding universe

Parameter estimation for an expanding universe

Entanglement generation due to the background electric field and curvature of space–time

Pairwise mode entanglement in Schwinger production of particle-antiparticle pairs in an electric field

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