An explicit Wigner formulation of Minkowski particle states for non-inertial observers is unknown. Here, we derive a general prescription to compute the characteristic function for Minkowski-Fock states in accelerated frames. For the special case of single-particle and two-particle states, this method enables to derive mean values of particle numbers and correlation function in the momentum space, and the way they are affected by the acceleration of the observer. We show an indistinguishability between Minkowski single-particle and two-particle states in terms of Rindler particle distribution that can be regarded as a way for the observer to detect any acceleration of the frame. We find that for two-particle states the observer is also able to detect acceleration by measuring the correlation between Rindler particles with different momenta.

Minkowski-Fock states in accelerated frames / Falcone, Riccardo; Conti, Claudio. - In: PHYSICAL REVIEW D. - ISSN 2470-0010. - 106:4(2022). [10.1103/PhysRevD.106.045013]

Minkowski-Fock states in accelerated frames

Riccardo Falcone
Primo
;
Claudio Conti
Secondo
2022

Abstract

An explicit Wigner formulation of Minkowski particle states for non-inertial observers is unknown. Here, we derive a general prescription to compute the characteristic function for Minkowski-Fock states in accelerated frames. For the special case of single-particle and two-particle states, this method enables to derive mean values of particle numbers and correlation function in the momentum space, and the way they are affected by the acceleration of the observer. We show an indistinguishability between Minkowski single-particle and two-particle states in terms of Rindler particle distribution that can be regarded as a way for the observer to detect any acceleration of the frame. We find that for two-particle states the observer is also able to detect acceleration by measuring the correlation between Rindler particles with different momenta.
2022
unruh effect; quantum field theory in curved spacetime; rindler; accelerated; wigner; characteristic function
01 Pubblicazione su rivista::01a Articolo in rivista
Minkowski-Fock states in accelerated frames / Falcone, Riccardo; Conti, Claudio. - In: PHYSICAL REVIEW D. - ISSN 2470-0010. - 106:4(2022). [10.1103/PhysRevD.106.045013]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1654483
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