Relativistic motion enhanced quantum estimation of 
                
                  
                
                $$\kappa $$
                
                  
                    κ
                  
                
              -deformation of spacetime

Liu, Xiaobao; Tian, Zehua; Wang, Jieci; Jing, Jiliang

doi:10.1140/epjc/s10052-018-6096-2

Cited by 11 publications

(6 citation statements)

References 80 publications

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“…Besides that, the substitution of the oscillator frequency turns the JC system into the AJC system with opposite chirality, which is evident when comparing (15) with (16). The results presented here are generalizations of results present in the literature.…”

Section: The Dirac Oscillator and The Mapping Onto The Jc And Ajc Sys...supporting

confidence: 78%

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Effects of quantum deformation on the Jaynes-Cummings and anti-Jaynes-Cummings models

Uhdre,

Cius,

Andrade

2021

Preprint

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The theory of non-Hermitian systems and the theory of quantum deformations have attracted a great deal of attention in the last decades. In general, non-Hermitian Hamiltonians are constructed by a ad hoc manner. Here, we study the (2+1) Dirac oscillator and show that in the context of the κ-deformed Poincaré-Hopf algebra its Hamiltonian is non-Hermitian but having real eigenvalues. The non-Hermiticity steams from the κ-deformed algebra. From the mapping in [Bermudez et al., Phys. Rev. A 76, 041801(R) 2007], we propose the κ-JC and κ-AJC models, which describe an interaction between a two-level system with a quantized mode of an optical cavity in the κ-deformed context. We find that the κ-deformation modifies the Zitterbewegung frequencies and the collapse and revival of quantum oscillations. In particular, the total angular momentum in the z-direction is not conserved anymore, as a direct consequence of the deformation.

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Section: The Dirac Oscillator and The Mapping Onto The Jc And Ajc Sys...supporting

confidence: 78%

“…We also comment that in Ref. [15], it was discussed that the parameter κ does not correspond to an observable, then its value should be inferred through some indirect measurements. For a short introduction to the κ-deformation framework, see Ref.…”

Section: Introductionmentioning

confidence: 86%

Effects of quantum deformation on the Jaynes-Cummings and anti-Jaynes-Cummings models

Uhdre,

Cius,

Andrade

2021

Preprint

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show abstract

“…[22] Various efforts have been made to investigate the possible low energy effects of 𝜅-deformation of the spacetime. [23][24][25][26] And the effect of the 𝜅-deformation on the response of a uniformly accelerated Unruh-DeWitt detector has also been studied. [27][28][29] In this paper, we study the effect of the 𝜅-deformation of the spacetime on the resonance interaction energy between two atoms.…”

Section: Introductionmentioning

confidence: 99%

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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“…Quite recently, the field of relativistic quantum information has emerged as an active research program, connecting concepts from gravitational physics and quantum information science. In this respect, many investigations were implemented on the detection of relativistic effects [37][38][39][40][41][42][43][44][45]. We also quote Refs.…”

Section: Introductionmentioning

confidence: 99%

Does relativistic motion always degrade quantum Fisher information?

et al. 2021

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We investigate the ultimate estimation precision, characterized by the quantum Fisher information, of a twolevel atom as a detector which is coupled to massless scalar field in the Minkowski vacuum. It has been shown that for an inertial detector moving with a constant velocity, its quantum Fisher information is completely unaffected by the velocity, however, it still decays over time due to the decoherence caused by the interaction between the atom and the field. In addition, for a uniformly accelerated detector (w = 0) moving along spatially straight line, the accelerated motion will reduce the quantum Fisher information in the estimation of state parameters. However, when the detector trajectory is generated by a combination of the linear accelerated motion and a component of the four-velocity w = dy/dτ, we find quite unlike the previous results that, for the non-relativistic case (w 1), the acceleration could degrade the quantum Fisher information, while the fourvelocity component will suppress the degradation of the quantum Fisher information, and thus could enhance the precision of parameters estimation. Furthermore, in the case for ultra-relativistic velocities (w → ∞), although the detector still interacts with the environment, it behaves as if it were a closed system as a consequence of relativity correction associated to the velocity, and the quantum Fisher information in this case can be shield from the effect of the external environment, and thus from the relativistic motion.

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Relativistic motion enhanced quantum estimation of $$\kappa $$ κ -deformation of spacetime

Cited by 11 publications

References 80 publications

Effects of quantum deformation on the Jaynes-Cummings and anti-Jaynes-Cummings models

Effects of quantum deformation on the Jaynes-Cummings and anti-Jaynes-Cummings models

Resonance Interaction Energy in κ‐Minkowski Spacetime

Does relativistic motion always degrade quantum Fisher information?

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