Relativistic entanglement of two particles driven by continuous product momenta

Abstract

In this paper we explore the entanglement of two relativistic spin-1/2 particles with continuous momenta. The spin state is described by the Bell state and the momenta are given by Gaussian distributions of product form. Transformations of the spins are systematically investigated in different boost scenarios by calculating the orbits and concurrence of the spin degree of freedom. By visualizing the behavior of the spin state we get further insight into how and why the entanglement changes in different boost situations. *

Considerations on the Relativity of Quantum Irrealism

“…In this latter realm, one of the most surprising and impactful results was that a Lorentz boost (i.e., a Lorentz transformation onto a moving frame) may alter the entanglement between the spin and momentum of a single relativistic particle. This was first discussed in a seminal paper by Peres et al [ 26 ], which sparked a multitude of related developments exploring and further confirming that result, not only in the single-particle case [ 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 ] but also for two or more particles [ 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 ]. As a natural sequel to these works, some discussions emerged concerning the boost effects on Bell inequality violations [ 46 , 47 , 48 , 49 , 50 ].…”

Maps Generated by Entangled Momenta: Exploring Spin Entanglement in Relativity

“…It is interesting to note that the concurrence is of the same shape as in the case of the same type of rotation R i ⊗ R i generated by a product state of the form f Σ , see the discussion in section X B in [38]. This raises the question of whether the orbit might have the same form as well.…”

Every Entangled Stuff Has Its Own Avatar

“…It is a higher-derivative completion of gravity that has good chances of being a consistent theory of quantum gravity (without super-symmetries and extra dimensions). Besides, the idea of a relativistic spin [104][105][106][107][108][109][110][111][112] was not born with the present work, therefore, a relativistic entanglement [113][114][115][116][117][118][119][120][121][122][123][124] comes to light as a consequence of this relativis-tic spin. Moreover, in recent years numerous works have appeared linking entanglement with the GR [125][126][127][128][129][130][131][132][133][134] directly or indirectly, some of which pose an entanglement between black holes (giving rise to an ER bridge or wormhole, even if temporarily) which is clearly the ER = EPR conjecture [17][18][19] while others, instead, explore the relativistic consequences of entanglement.…”