Entanglement in QFT: Free Particle Decay

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Entanglement in quantum field theory (QFT) can indeed be defined, particularly in the context of particle decay. When a free, massive particle decays into two other massive particles, these new particles exhibit entanglement in linear momentum. The discussion highlights that existing definitions of entanglement are primarily rooted in non-relativistic quantum mechanics. An example of this phenomenon can be found in the referenced paper, which provides further insights into QFT and entanglement. Understanding this relationship enhances the comprehension of particle interactions in a relativistic framework.
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All definitions of entanglement, that I have encountered, were expressed in the language of non-relativistic QM.

Suppose a free, massive particle decays into 2 other massive particles. The 2 new particles would be entangled in linear momentum. Can QFT define that type of entanglement? Any examples?

Thanks in advance.
 
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referframe said:
All definitions of entanglement, that I have encountered, were expressed in the language of non-relativistic QM.

Suppose a free, massive particle decays into 2 other massive particles. The 2 new particles would be entangled in linear momentum. Can QFT define that type of entanglement?
Yes.

referframe said:
Any examples?
See e.g.
http://xxx.lanl.gov/abs/1205.1992
 
Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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