Time-dependent resonance interaction energy between two entangled atoms under nonequilibrium conditions

Giuseppe Fiscelli, Lucia Rizzuto, Roberto Passante, Wenting Zhou, Giuseppe Fiscelli, Roberta Palacino, Lucia Rizzuto, Roberto Passante

Risultato della ricerca: Article

1 Citazione (Scopus)

Abstract

We consider the time-dependent resonance interaction energy between two identical atoms, one in the ground state and the other in an excited state, and interacting with the vacuum electromagnetic field, during a nonequilibrium situation such as the dynamical atomic self-dressing process. We suppose the two atoms prepared in a correlated, symmetric or antisymmetric, state. Since the atoms start from a nonequilibrium conditions, their interaction energy is time dependent. We obtain, at second order in the atom-field coupling, an analytic expression for the time-dependent resonance interaction energy between the atoms. We show that this interaction vanishes when the two atoms are outside the light cone of each other, in agreement with relativistic causality, while it instantaneously settles to its stationary value after time t=R/c (R being the interatomic distance), as obtained in a time-independent approach. We also investigate the time-dependent electric energy density in the space around the two correlated atoms, in both cases of antisymmetric (subradiant) and symmetric (super-radiant) states, during the dressing process of our two-atom system. We show that the field energy density vanishes in points outside the light cone of both atoms, thus preserving relativistic causality. On the other hand, inside the light cone of both atoms, the energy density instantaneously settles to its stationary value. Specifically, for points at equal distance from the two atoms, we find that it vanishes if the two atoms are prepared in the antisymmetric (subradiant) state, while it is enhanced, with respect to the case of atoms in a factorized state, in the symmetric (super-radiant) state. The physical meaning of these results is discussed in detail in terms of interference effects of the field emitted by the two atoms.
Lingua originaleEnglish
pagine (da-a)042506-1-042506-10
Numero di pagine10
RivistaPhysical Review A
Volume98
Stato di pubblicazionePublished - 2018

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nonequilibrium conditions
atoms
interactions
energy
cones
flux density
preserving

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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Time-dependent resonance interaction energy between two entangled atoms under nonequilibrium conditions. / Fiscelli, Giuseppe; Rizzuto, Lucia; Passante, Roberto; Zhou, Wenting; Fiscelli, Giuseppe; Palacino, Roberta; Rizzuto, Lucia; Passante, Roberto.

In: Physical Review A, Vol. 98, 2018, pag. 042506-1-042506-10.

Risultato della ricerca: Article

Fiscelli, G, Rizzuto, L, Passante, R, Zhou, W, Fiscelli, G, Palacino, R, Rizzuto, L & Passante, R 2018, 'Time-dependent resonance interaction energy between two entangled atoms under nonequilibrium conditions', Physical Review A, vol. 98, pagg. 042506-1-042506-10.
Fiscelli, Giuseppe ; Rizzuto, Lucia ; Passante, Roberto ; Zhou, Wenting ; Fiscelli, Giuseppe ; Palacino, Roberta ; Rizzuto, Lucia ; Passante, Roberto. / Time-dependent resonance interaction energy between two entangled atoms under nonequilibrium conditions. In: Physical Review A. 2018 ; Vol. 98. pagg. 042506-1-042506-10.
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abstract = "We consider the time-dependent resonance interaction energy between two identical atoms, one in the ground state and the other in an excited state, and interacting with the vacuum electromagnetic field, during a nonequilibrium situation such as the dynamical atomic self-dressing process. We suppose the two atoms prepared in a correlated, symmetric or antisymmetric, state. Since the atoms start from a nonequilibrium conditions, their interaction energy is time dependent. We obtain, at second order in the atom-field coupling, an analytic expression for the time-dependent resonance interaction energy between the atoms. We show that this interaction vanishes when the two atoms are outside the light cone of each other, in agreement with relativistic causality, while it instantaneously settles to its stationary value after time t=R/c (R being the interatomic distance), as obtained in a time-independent approach. We also investigate the time-dependent electric energy density in the space around the two correlated atoms, in both cases of antisymmetric (subradiant) and symmetric (super-radiant) states, during the dressing process of our two-atom system. We show that the field energy density vanishes in points outside the light cone of both atoms, thus preserving relativistic causality. On the other hand, inside the light cone of both atoms, the energy density instantaneously settles to its stationary value. Specifically, for points at equal distance from the two atoms, we find that it vanishes if the two atoms are prepared in the antisymmetric (subradiant) state, while it is enhanced, with respect to the case of atoms in a factorized state, in the symmetric (super-radiant) state. The physical meaning of these results is discussed in detail in terms of interference effects of the field emitted by the two atoms.",
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T1 - Time-dependent resonance interaction energy between two entangled atoms under nonequilibrium conditions

AU - Fiscelli, Giuseppe

AU - Rizzuto, Lucia

AU - Passante, Roberto

AU - Zhou, Wenting

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AU - Palacino, Roberta

AU - Rizzuto, Lucia

AU - Passante, Roberto

PY - 2018

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N2 - We consider the time-dependent resonance interaction energy between two identical atoms, one in the ground state and the other in an excited state, and interacting with the vacuum electromagnetic field, during a nonequilibrium situation such as the dynamical atomic self-dressing process. We suppose the two atoms prepared in a correlated, symmetric or antisymmetric, state. Since the atoms start from a nonequilibrium conditions, their interaction energy is time dependent. We obtain, at second order in the atom-field coupling, an analytic expression for the time-dependent resonance interaction energy between the atoms. We show that this interaction vanishes when the two atoms are outside the light cone of each other, in agreement with relativistic causality, while it instantaneously settles to its stationary value after time t=R/c (R being the interatomic distance), as obtained in a time-independent approach. We also investigate the time-dependent electric energy density in the space around the two correlated atoms, in both cases of antisymmetric (subradiant) and symmetric (super-radiant) states, during the dressing process of our two-atom system. We show that the field energy density vanishes in points outside the light cone of both atoms, thus preserving relativistic causality. On the other hand, inside the light cone of both atoms, the energy density instantaneously settles to its stationary value. Specifically, for points at equal distance from the two atoms, we find that it vanishes if the two atoms are prepared in the antisymmetric (subradiant) state, while it is enhanced, with respect to the case of atoms in a factorized state, in the symmetric (super-radiant) state. The physical meaning of these results is discussed in detail in terms of interference effects of the field emitted by the two atoms.

AB - We consider the time-dependent resonance interaction energy between two identical atoms, one in the ground state and the other in an excited state, and interacting with the vacuum electromagnetic field, during a nonequilibrium situation such as the dynamical atomic self-dressing process. We suppose the two atoms prepared in a correlated, symmetric or antisymmetric, state. Since the atoms start from a nonequilibrium conditions, their interaction energy is time dependent. We obtain, at second order in the atom-field coupling, an analytic expression for the time-dependent resonance interaction energy between the atoms. We show that this interaction vanishes when the two atoms are outside the light cone of each other, in agreement with relativistic causality, while it instantaneously settles to its stationary value after time t=R/c (R being the interatomic distance), as obtained in a time-independent approach. We also investigate the time-dependent electric energy density in the space around the two correlated atoms, in both cases of antisymmetric (subradiant) and symmetric (super-radiant) states, during the dressing process of our two-atom system. We show that the field energy density vanishes in points outside the light cone of both atoms, thus preserving relativistic causality. On the other hand, inside the light cone of both atoms, the energy density instantaneously settles to its stationary value. Specifically, for points at equal distance from the two atoms, we find that it vanishes if the two atoms are prepared in the antisymmetric (subradiant) state, while it is enhanced, with respect to the case of atoms in a factorized state, in the symmetric (super-radiant) state. The physical meaning of these results is discussed in detail in terms of interference effects of the field emitted by the two atoms.

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