Effects of photon field on entanglement generation in charged particles
- URL: http://arxiv.org/abs/2203.09011v1
- Date: Thu, 17 Mar 2022 01:14:56 GMT
- Title: Effects of photon field on entanglement generation in charged particles
- Authors: Yuuki Sugiyama, Akira Matsumura, and Kazuhiro Yamamoto
- Abstract summary: We analyze the entanglement generation between two charged particles coupled to a photon field.
It is observed that the entanglement is suppressed by the decoherence due to the vacuum fluctuations of the photon field.
The similar structures between the gravity theory and electromagnetic theory suggests that a similar feature may be observed in the entanglement generation by quantum gravitational radiation.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The Bose-Marletto-Vedral (BMV) experiment [3, 4] is a proposal for testing
the quantum nature of gravity with entanglement due to Newtonian gravity. This
proposal has stimulated controversy on how the entanglement due to Newtonian
gravity is related to the essence of quantum gravity and the existence of
gravitons. Motivated by this, we analyze the entanglement generation between
two charged particles coupled to a photon field. We assume that each particle
is in a superposition of two trajectories and that the photon field is
initially in a coherent state. Based on covariant quantum electrodynamics, the
formula for the entanglement negativity of the charged particles is derived for
the first time. Adopting simple analytic trajectories of the particles, we
demonstrate the entanglement between them. It is observed that the entanglement
is suppressed by the decoherence due to the vacuum fluctuations of the photon
field. We also find that the effect of quantum superposition of bremsstrahlung
appears in the entanglement negativity formula. The similar structures between
the gravity theory and electromagnetic theory suggests that a similar feature
may be observed in the entanglement generation by quantum gravitational
radiation.
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