Abstract
The π-tangle is used to study the behavior of entanglement of a nonmaximal tripartite state of both Dirac and scalar fields in accelerated frame. For Dirac fields, the degree of degradation with acceleration of both one-tangle of accelerated observer and π-tangle, for the same initial entanglement, is different by just interchanging the values of probability amplitudes. A fraction of both one-tangles and the π-tangle always survives for any choice of acceleration and the degree of initial entanglement. For scalar field, the one-tangle of accelerated observer depends on the choice of values of probability amplitudes and it vanishes in the range of infinite acceleration, whereas for π-tangle this is not always true. The dependence of π-tangle on probability amplitudes varies with acceleration. In the lower range of acceleration, its behavior changes by switching between the values of probability amplitudes and for larger values of acceleration this dependence on probability amplitudes vanishes. Interestingly, unlike bipartite entanglement, the degradation of π-tangle against acceleration in the case of scalar fields is slower than for Dirac fields.
Highlights
One of the potential resources for all kinds of quantum information tasks is entanglement
We investigate the dependence of the behavior of a nonmaximal tripartite entanglement of both Dirac and scalar fields on the acceleration of the observer frame and on the entanglement parameter that describes the degree of entanglement in the initial state
We have investigated the entanglement behavior of nonmaximal tripartite quantum states in both fermionic and bosonic systems when one of the parties is traveling with a uniform acceleration
Summary
One of the potential resources for all kinds of quantum information tasks is entanglement. We investigate the dependence of the behavior of a nonmaximal tripartite entanglement of both Dirac and scalar fields on the acceleration of the observer frame and on the entanglement parameter that describes the degree of entanglement in the initial state. It is important to note that almost all the previous studies have been focused on investigating the influence of parameter r, as a function of acceleration of the moving frame by fixing the Rindler frequency, on the degree of entanglement present in the initial state. Such analysis lead to the measurement of entanglement in a family of states, all of which share the same. The effect of parameter r on entanglement can alternatively, be interpreted by considering a family of states with different Rindler frequencies watched by the same observer traveling with fixed acceleration [18]
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