Near-horizon aspects of acceleration radiation by free fall of an atom into a black hole

Camblong, Horacio E.; Chakraborty, A.; Ordóñez, Carlos

doi:10.1103/physrevd.102.085010

Cited by 26 publications

(17 citation statements)

References 44 publications

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“…[18]. Most importantly, as in the preceding article [17], conformal quantum mechanics (CQM) is shown to fully drive the thermodynamic behavior [19][20][21][22][23]. Such a symmetry-based approach is appealing as it supports the notion that conformal invariance may play a crucial role in a deeper understanding of black hole thermodynamics [10][11][12][13], and ultimately, in a theory of quantum gravity.…”

Section: Introductionmentioning

confidence: 85%

“…( 31) displays an integral that has been analyzed in Refs. [17,22,23] The conclusions of that analysis are as follows. First, the behavior of the integral is controlled by the competition of the two oscillatory factors x −iω/κ and e −iqx , Second, the factor x −iω/κ , which arises from the properties of CQM, oscillates wildly with a logarithmic phase as the horizon is approached, with scale invariance governed by ω/κ = 2Θ, and is thus responsible for the leading value of the integral.…”

Section: Hbar In Kerr Geometry: Conformal Nature and Thermal Characte...mentioning

confidence: 96%

“…In addition to the gravitational background of the Kerr geometry, our model involves the two interacting systems: the atomic cloud and the quantum field, as discussed in Refs. [17,18,22,23]. The basic interaction leading to acceleration radiation is modeled by means of a dipole coupling of a scalar field Φ with a freely falling atom.…”

Section: A Kerr Geometrymentioning

confidence: 99%

See 2 more Smart Citations

Quantum optics meets black hole thermodynamics via conformal quantum mechanics: II. Thermodynamics of acceleration radiation

Azizi,

Camblong,

Chakraborty

et al. 2021

Preprint

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The thermodynamics of "horizon brightened acceleration radiation" (HBAR), due to a random atomic cloud freely falling into a black hole in a Boulware-like vacuum, is shown to mimic the thermodynamics of the black hole itself. The thermodynamic framework is developed in its most general form via a quantum-optics master equation, including rotating (Kerr) black holes and for any set of initial conditions of the atomic cloud. The HBAR field exhibits thermal behavior at the Hawking temperature and an area-entropy-flux relation that resembles the Bekenstein-Hawking entropy. In addition, this general approach reveals: (i) the existence of an HBAR-black-hole thermodynamic correspondence that explains the HBAR area-entropy-flux relation; (ii) the origin of the field entropy from the near-horizon behavior, via conformal quantum mechanics (CQM).

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Section: Introductionmentioning

confidence: 85%

Section: Hbar In Kerr Geometry: Conformal Nature and Thermal Characte...mentioning

confidence: 96%

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Quantum optics meets black hole thermodynamics via conformal quantum mechanics: II. Thermodynamics of acceleration radiation

Azizi,

Camblong,

Chakraborty

et al. 2021

Preprint

Self Cite

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“…In that respect, the proposed form of the Kerr metric might prove useful to investigate the behaviour of quantum fields near and behind the event horizon, down to the Cauchy horizon. Such analysis can be performed both analytically, following a near-horizon approach (see, e.g., [23,24]), as well as by means of numerical computations (see section 6.2). This will be the goal of further investigation.…”

Section: Discussionmentioning

confidence: 99%

Kerr spacetime in Lemaître coordinates

Sorge¹

2021

Preprint

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We present a novel formulation of the Kerr spacetime solution, based on the Lemaître coordinates. Such an approach allows one to avoid the coordinate singularities of the Boyer-Lindquist metric, thus offering the possibility to explore in some detail the Kerr physics near and beyond the event horizon, adopting the point of view of a freely falling observer, whose adapted tetrad is moreover proven to be Fermi-Walker transported. We use the Lemaître form of the Kerr metric discussing the motion of radial photons close to the Cauchy horizon, also showing that their behaviour fairly agrees with other similar results presented in the literature. Being synchronous, the Lemaître form of the Kerr metric allows a Hamiltonian formulation of a quantum field theory nearby and beyond the Kerr event horizon. This could provide a further tool in the investigation of the intriguing issue concerning the Cauchy horizon (in)stability.

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“…Refs. [16][17][18][19][20], we anticipate that hidden near-horizon conformal symmetry [21][22][23], manifests in the leading form of the field equations as conformal quantum mechanics (CQM) [24]; and CQM governs the predicted thermodynamic behavior. Specifically, the CQM modes and the corresponding near-horizon geodesics lead to: (i) the unique Hawking temperature shared by the black hole and the HBAR radiation; (ii) the existence of an HBAR area-entropy-flux relation.…”

Section: Introductionmentioning

confidence: 99%

Quantum optics meets black hole thermodynamics via conformal quantum mechanics: I. Master equation for acceleration radiation

Azizi,

Camblong,

Chakraborty

et al. 2021

Preprint

Self Cite

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A quantum-optics approach is used to study the nature of the acceleration radiation due to a random atomic cloud falling freely into a generalized Schwarzschild black hole through a Boulware vacuum. The properties of this horizon brightened acceleration radiation (HBAR) are analyzed with a master equation that is fully developed in a multimode format. A scheme for the coarsegraining average for an atomic cloud is considered, with emphasis on the random injection scenario, which is shown to generate a thermal state. The role played by conformal quantum mechanics (CQM) is shown to be critical for detailed balance via a Boltzmann factor governed by the nearhorizon physics, with the unique selection of the Hawking temperature. The HBAR thermal state is the basis for a thermodynamic framework that parallels black hole thermodynamics.

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Near-horizon aspects of acceleration radiation by free fall of an atom into a black hole

Cited by 26 publications

References 44 publications

Quantum optics meets black hole thermodynamics via conformal quantum mechanics: II. Thermodynamics of acceleration radiation

Quantum optics meets black hole thermodynamics via conformal quantum mechanics: II. Thermodynamics of acceleration radiation

Kerr spacetime in Lemaître coordinates

Quantum optics meets black hole thermodynamics via conformal quantum mechanics: I. Master equation for acceleration radiation

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