Finite-time response function of uniformly accelerated entangled atoms

Rodríguez-Camargo, C. D.; Svaiter, N. F.; Menezes, G.

doi:10.48550/arxiv.1608.03365

Cited by 4 publications

(12 citation statements)

References 1 publication

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“…We begin our analysis elucidating on the radiative process of two entangled Unruh-DeWitt detectors. This model has been taken up earlier in several situations [20,24,25]. Since we need this, a brief review of it will be presented here in order to make the discussion selfsufficient.…”

Section: Radiative Process Of Two Entangled Atoms: a Model Set-upmentioning

confidence: 99%

“…where, H A denotes the atomic Hamiltonian free of any interaction, H F is the free scalar field Hamiltonian, and H int is the interaction between the atoms and the scalar field. As provided by Dicke [20,55] one may express the two-atom Hamiltonian corresponding to the proper time as…”

Section: Radiative Process Of Two Entangled Atoms: a Model Set-upmentioning

confidence: 99%

“…It will result in a factor of dτ 2 (τ 1 )/dτ 1 when one considers the contribution of the second detector, see [20,25]. Now we shall proceed to evaluate the transition probabilities for the detectors, uniformly accelerating with different accelerations, in a thermal bath.…”

Section: Radiative Process Of Two Entangled Atoms: a Model Set-upmentioning

confidence: 99%

“…Then it becomes imperative to understand the reasons of these degradation, so that sincere predictions can be provided. All these reasonings motivated the developments on studying the transition rates between different states of entangled atoms in different trajectories, which are thriving with many new ideas and possibilities, see [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]. In this purpose the concept of two-level atomic Unruh-deWitt detectors are essential.…”

Section: Introductionmentioning

confidence: 99%

“…Like, in [24] the radiative process of the static atoms are discussed in the presence of mirrors. While in [20] the finite time effects of acceleration are analyzed. These studies motivates one to study the similar radiative process for entangled atoms accelerated in thermal bath, which is not there in literature up to our knowledge.…”

Section: Introductionmentioning

confidence: 99%

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Radiative process of two entangled uniformly accelerated atoms in a thermal bath: a possible case of anti-Unruh event

Barman,

Majhi

2021

Preprint

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We study the radiative process of two entangled two-level atoms uniformly accelerated in a thermal bath, coupled to a massless scalar field. First, by using the positive frequency Wightman function from the Minkowski modes with a Rindler transformation we provide the transition probabilities for the transitions from maximally entangled symmetric and anti-symmetric Bell states to the collective excited or ground state in (1 + 1) and (1 + 3) dimensions. We observe a possible case of anti-Unruh event in these transition probabilities, though the (1 + 1) and (1 + 3) dimensional results are not completely equivalent. We infer that thermal bath plays a major role in the occurrence of the anti-Unruh effect, as it is also present in the transition probabilities corresponding to a single detector in this case. Second, we have considered the Green's functions in terms of the Rindler modes with the vacuum of Unruh modes for estimating the same. Here the anti-Unruh effect appears only for the transition from the anti-symmetric state to the collective excited or ground state. It is noticed that here the (1 + 1) and (1 + 3) dimensional results are equivalent, and for a single detector, we do not observe any anti-Unruh effect. This suggests that the entanglement between the states of the atoms is the main cause for the observed anti-Unruh effect in this case. In going through the investigation, we find that the transition probability for a single detector case is symmetric under the interchange between the thermal bath's temperature and the Unruh temperature for Rindler mode analysis; whereas this is not the case for Minkowski mode. We further comment on whether this observation may shed light on the analogy between an accelerated observer and a real thermal bath. An elaborate investigation for the classifications of our observed anti-Unruh effects, i.e., either weak or strong anti-Unruh effect, is also thoroughly demonstrated.

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Section: Radiative Process Of Two Entangled Atoms: a Model Set-upmentioning

confidence: 99%

Section: Radiative Process Of Two Entangled Atoms: a Model Set-upmentioning

confidence: 99%

Section: Radiative Process Of Two Entangled Atoms: a Model Set-upmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Radiative process of two entangled uniformly accelerated atoms in a thermal bath: a possible case of anti-Unruh event

Barman,

Majhi

2021

Preprint

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Optimization of entanglement depends on the extremality and nonextremality of a black hole

Barman,

Majhi

2024

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We consider two Unruh-DeWitt detectors interacting with a massless, minimally coupled scalar field in a (1+1) dimensional Reissner-Nordstrom black hole spacetime. In particular, one of the detectors, corresponding to Alice, is moving along an outgoing null trajectory. While the other detector carried by Bob is static. With this set-up, we investigate the entangling condition and the measure of the entanglement, concurrence, in the nonextremal and extremal scenarios. Our observations suggest, as expected, a qualitative similarity in characteristics of the entanglement between these two scenarios. However, we find a distinct and consistent quantitative feature between the nonextremal and extremal concurrences for a broad range of black hole charges. With moderately large detector transition energy, the extremal background always accounts for the larger entanglement than the nonextremal one. In contrast, with low detector transition energy, entanglement on the nonextremal background can be greater. Therefore, by adjusting the detector transition energy, one can perceive optimum entanglement from either the extremal or the nonextremal background.

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Radiative processes of single and entangled detectors on circular trajectories in $(2+1)$ dimensional Minkowski spacetime

Barman¹,

Majhi²,

Sriramkumar³

2022

Preprint

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We investigate the radiative processes involving two entangled Unruh-DeWitt detectors that are moving on circular trajectories in (2 + 1)-dimensional Minkowski spacetime. We assume that the detectors are coupled to a massless, quantum scalar field, and calculate the transition probability rates of the detectors in the Minkowski vacuum as well as in a thermal bath. We also evaluate the transition probability rates of the detectors when they are switched on for a finite time interval with the aid of a Gaussian switching function. We begin by examining the response of a single detector before we go on to consider the case of two entangled detectors. As we shall see, working in (2 + 1) spacetime dimensions makes the computations of the transition probability rates of the detectors relatively simpler. We find that the cross transition probability rates of the two entangled detectors can be comparable to the auto transition probability rates of the individual detectors. We discuss specific characteristics of the response of the entangled detectors for different values of the parameters involved and highlight the effects of the thermal bath as well as switching on the detector for a finite time interval.

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Finite-time response function of uniformly accelerated entangled atoms

Cited by 4 publications

References 1 publication

Radiative process of two entangled uniformly accelerated atoms in a thermal bath: a possible case of anti-Unruh event

Radiative process of two entangled uniformly accelerated atoms in a thermal bath: a possible case of anti-Unruh event

Optimization of entanglement depends on the extremality and nonextremality of a black hole

Radiative processes of single and entangled detectors on circular trajectories in $(2+1)$ dimensional Minkowski spacetime

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