Resonance interaction energy between two accelerated identical atoms in a coaccelerated frame and the Unruh effect

Zhou, Wenting; Passante, Roberto; Rizzuto, Lucia

doi:10.48550/arxiv.1609.06931

Cited by 2 publications

(2 citation statements)

References 25 publications

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“…After discussing the case of a single detector, we shall go on to calculate the transition probability rate of two detectors that are assumed to be in an entangled initial state, a situation that has drawn considerable attention in the literature over the last few years (in this regard, see, for example, Refs. [30][31][32][33][34][35][36][37][38][39][40][41][42]; for a discussion on entangled detectors in circular motion, see, for instance, Refs. [43,44]).…”

Section: Introductionmentioning

confidence: 99%

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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Section: Introductionmentioning

confidence: 99%

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

Barman¹,

Majhi²,

Sriramkumar³

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…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%

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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Resonance interaction energy between two accelerated identical atoms in a coaccelerated frame and the Unruh effect

Cited by 2 publications

References 25 publications

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

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

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

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