Quantum field theory in the Rindler-Rindler spacetime

Kolekar, Sanved; Padmanabhan, Τ.

doi:10.1103/physrevd.89.064055

Cited by 13 publications

(21 citation statements)

References 14 publications

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“…Subsequently, the particle number, seen by the Rindler frame in thermal bath, was calculated. Later the same authors demonstrated that the particle number seen by the Rindler-Rindler observer in the Minkowski vacuum is identical to this value [16] with the bath temperature is identified as the temperature perceived by the first Rindler frame. In this analysis they studied both particle number computation by Bogoliubov technique and detector response.…”

Section: Introductionmentioning

confidence: 88%

“…The first example that we consider, is a Rindler observer, who is moving through a thermal bath, with an uniform acceleration. This model has been studied earlier not only in the perspective of Unruh detector [16,22], but also the calculation of particle number, seen from Rindler observer, has been done [14,15]. Consequently it has been argued in [15] that both ways yield the same result.…”

Section: Rindler Observer In Thermal Bathmentioning

confidence: 99%

“…The last two in eq. (44) denote the number operator, and can be evaluated, as done in [16]. In the standard case, when one deals with Minkowski to Rindler transformation, it is found that c p c q M and c † p c † q M disappear for positive frequencies.…”

Section: Comparison With Rindler-rindler Casementioning

confidence: 99%

“…It will help us to understand how far one can use the accelerated frame as a "proxy" for a real thermal bath. This topic is very important to understand the "Unruh effect" and people are investigating this issue for different situations (for example, see [14][15][16]). Our present analysis is completely in this direction.…”

Section: Numerical Analysismentioning

confidence: 99%

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How robust is the indistinguishability between quantum fluctuation seen from noninertial frame and real thermal bath

et al. 2019

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We re-advocated the conjecture of indistinguishability between the quantum fluctuation observed from a Rindler frame and a real thermal bath, for the case of a free massless scalar field. To clarify the robustness and how far such is admissible, in this paper, we investigate the issue from two different non-inertial observers' perspective. A detailed analysis is being done to find the observable quantities as measured by two non-inertial observers (one is Rindler and another is uniformly rotating) on the real thermal bath and Rindler frame in Minkowski spacetime. More precisely, we compare Thermal-Rindler with Rindler-Rindler and Thermal-rotating with Rindler-rotating situations. In the first model it is observed that although some of the observables are equivalent, all the components of renormalised stress-tensor are not same. In the later model we again find that this equivalence is not totally guaranteed. Therefore we argue that the indistinguishability between the real thermal bath and the Rindler frame may not be totally true.PACS numbers: * blue chandramouli@alumni.iitg.ac.in,chandramouli.chowdhury@icts.res.in † blue susmita.das@alumni.iitg.ac.in, susmitad210@gmail.com ‡ blue suroj176121013@iitg.ac.in § blue bibhas.majhi@iitg.ac.in 1 Similar findings have also been obtained for conformal vacuum, seen by the comoving observers, in the case of de-Sitter (dS) Friedmann-Lamatre-Robertson-Walker (FLRW) Universe. An extension to (1 + 1) Schwarzschild black hole revels that the particles in Kruskal and Unruh vacuum states, seen by the Schwarzschild static observer, exhibits same fluctuationdissipation theorem (see [11] for details).

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Section: Introductionmentioning

confidence: 88%

Section: Rindler Observer In Thermal Bathmentioning

confidence: 99%

Section: Comparison With Rindler-rindler Casementioning

confidence: 99%

Section: Numerical Analysismentioning

confidence: 99%

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How robust is the indistinguishability between quantum fluctuation seen from noninertial frame and real thermal bath

et al. 2019

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“…In this work we are going to study the radiative process of two entangled accelerated atoms, coupled to a background scalar field, in a thermal bath. The transition probability corresponding to single accelerated observers in thermal bath are estimated in [45,46], considering two-level Unruh-deWitt detectors (where in [47] the scenario for a rotating detector in thermal bath is considered). In the derivation of [46] the Green's function, which is essential for the calculation, is constructed from the Minkowski modes with a Rindler coordinate transformation.…”

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

J. High Energ. Phys.

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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-like 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-like 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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Fate of entanglement between two Unruh-DeWitt detectors due to their motion and background temperature

Chowdhury

Majhi

2022

J. High Energ. Phys.

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We investigate the fate of initial entanglement between two accelerated detectors with respect to an observer attached to one of the detectors. Both (1 + 1) and (1 + 3) spacetime dimensions are being considered here, with the detectors interacting with real massless scalar fields through monopole terms. The investigation is being performed for both non-thermal as well as thermal fields. In general, irrespective of the detectors moving in the same Rindler wedge or opposite wedges, increase of the field temperature reduces the initial entanglement. In all situations, degradation of entanglement is high for high acceleration aA of our observer. Interestingly, the degradation depends on the measure of initial entanglement. For (1 + 1) dimensions, the degradation saturates for small values of aA, whereas the same fluctuates in (1 + 3) dimensions with the decrease of aA. For motions in opposite Rindler wedges, a noticeable feature we observe in (1 + 1) dimensions is that, depending on the strength of initial entanglement, there is a possibility of entanglement harvesting in the system for certain values of the observers’ acceleration. However the same is absent in (1 + 3) dimensions. The whole analysis is operationally different from earlier similar investigations. The thermal equilibrium is satisfied throughout the calculations here, by considering the Wightman functions with respect to the Rindler modes evaluated in the vacuum of Unruh modes, contrary to the use of Minkowski modes.

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Quantum field theory in the Rindler-Rindler spacetime

Cited by 13 publications

References 14 publications

How robust is the indistinguishability between quantum fluctuation seen from noninertial frame and real thermal bath

How robust is the indistinguishability between quantum fluctuation seen from noninertial frame and real thermal bath

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

Fate of entanglement between two Unruh-DeWitt detectors due to their motion and background temperature

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