Resonance interaction between uniformly rotating two-level entangled atoms

Cai, Huacong; Li, Zhen; Zhang, Ren

doi:10.1140/epjp/i2018-12266-8

Cited by 4 publications

(5 citation statements)

References 34 publications

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“…From now, we will generalize the results obtained by Cai, Li and Ren [53]. See also reference [12] for a rotating Unruh-DeWitt detector under non-equilibrium conditions and reference [54] for a discussion of a finite-time response function.…”

Section: Radiative Processes Of Non-inertial Entangled Detectorsmentioning

confidence: 63%

Radiative processes of entangled detectors in rotating frames

Picanço

Svaiter

Zarro

2020

J. High Energ. Phys.

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We investigate the radiative processes of accelerated entangled two-level systems. Using first-order perturbation theory, we evaluate transition rates of two entangled Unruh-DeWitt detectors rotating with the same angular velocity interacting with a massive scalar field. Decay processes for arbitrary radius, angular velocities, and energy gaps are analyzed. We discuss the mean-life of entangled states and entanglement harvesting and degradation.

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Section: Radiative Processes Of Non-inertial Entangled Detectorsmentioning

confidence: 63%

Radiative processes of entangled detectors in rotating frames

Picanço

Svaiter

Zarro

2020

J. High Energ. Phys.

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“…The DDC approach has been widely used for studying the physical effects originated from the atom-field interaction, such as spontaneous transition, [37,38] Lamb shift, [39][40][41] Casimir-Polder interaction, [42,43] and resonance interaction energy. [10][11][12][14][15][16][17] To calculate the atomic energy shift, we first derive the secondorder effective Hamiltonians related to vacuum fluctuations (H eff A ) vf and radiation reaction (H eff A ) rr for atom A as Refs. [10] (…”

Section: The Resonance Interaction Energy In the 𝜿-Minkowski Spacetimementioning

confidence: 99%

“…The DDC approach has been widely used for studying the physical effects originated from the atom‐field interaction, such as spontaneous transition, [ 37,38 ] Lamb shift, [ 39–41 ] Casimir–Polder interaction, [ 42,43 ] and resonance interaction energy. [ 10–12,14–17 ]…”

Section: The Resonance Interaction Energy In the κ‐Minkowski Spacetimementioning

confidence: 99%

“…[4][5][6] When the two atoms are in the symmetric or antisymmetric entanglement state, DOI: 10.1002/andp.202300152 the resonance interaction energy is proportional to L −1 in the far regime. [2,3] Recently, the study of resonance interaction energy has been generalized to non-inertial frames, [10][11][12] curved spacetimes, [13,14] and spacetimes with nontrivial topology. [15][16][17] It has been shown that the resonance interaction energy can be significantly modified by the non-inertial motion of the atoms, and the curvature and topology of the spacetime.…”

Section: Introductionmentioning

confidence: 99%

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Resonance Interaction Energy in κ‐Minkowski Spacetime

2023

Annalen der Physik

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If gravity is quantized, one of the consequences may be that the spacetime coordinates are quantized and become noncommutative. The κ‐Minkowski spacetime is such kind of noncommutative spacetime. In this paper, the resonance interaction energy of a two‐atom system coupled with a fluctuating vacuum scalar field in the κ‐Minkowski spacetime is studied. It is found that the resonance interaction energy is dependent on the interatomic separation, the transition wavelength of the atoms, and the spacetime non‐commutativity. When the interatomic separation is small compared with a characteristic length determined by the spacetime non‐commutativity parameter and the transition wavelength, the resonance interaction energy is that in the Minkowski spacetime plus a correction due to the spacetime non‐commutativity. When the interatomic separation is comparable to or larger than the characteristic length, the resonance interaction energy cannot be organized in the form of a Minkowski term plus a correction, which indicates that the long‐range behavior of the vacuum in the κ‐Minkowski spacetime is fundamentally different from that in the Minkowski spacetime.

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“…By contrast, obviously the interatomic interaction in the last case is more powerful and has longer range. Recently, the resonance interaction between two correlated atoms has been investigated in different situations, for example, the case when the atoms are accelerated in different trajectories [45][46][47][48] or placed in different external environments [49][50][51][52]. Moreover, these investigations in Minkowski spacetime have been increasingly extended to the topologically nontrivial or curved spacetimes background, such as the cosmic string spacetime [53], the de Sitter spacetime [54] and the Schwarzschild spacetime [55].…”

Section: Introductionmentioning

confidence: 99%

Resonance interaction between two two-level entangled atoms in cosmic string spacetime

Cai¹,

Zhang²

2018

Class. Quantum Grav.

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We investigate the influence of a cosmic string on the resonance interaction between two identical two-level entangled atoms mediated by a fluctuating electromagnetic field in the vacuum state. We separately consider two representative configurations of the system and give the corresponding analytical expressions of interatomic interaction energy for the special case of a ‘quantized string’ with integer ν. The results indicate that the resonance interatomic interaction energy depends crucially upon the relative position between the two atoms, their respective locations and polarizabilities relative to the string. As these parameters change, we show that the presence of the cosmic string can enhance or weaken and even produce or prohibit the interatomic resonance interaction. Our work suggests that the nontrivial spacetime topology due to the cosmic string can influence the field-mediated interatomic interaction significantly.

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Resonance interaction between uniformly rotating two-level entangled atoms

Cited by 4 publications

References 34 publications

Radiative processes of entangled detectors in rotating frames

Radiative processes of entangled detectors in rotating frames

Resonance Interaction Energy in κ‐Minkowski Spacetime

Resonance interaction between two two-level entangled atoms in cosmic string spacetime

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