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

Azizi, Arash; Camblong, Horacio E.; Chakraborty, A.; Ordóñez, Carlos; Scully, Marlan O.

doi:10.1103/physrevd.104.084086

Cited by 17 publications

(4 citation statements)

References 32 publications

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“…The von-Neumann entropy considering this radiation was termed as the horizon brightened acceleration radiation entropy or the HBAR entropy [28]. Very few works also considered the effects of the conformal symmetry as a contributing factor towards near horizon analysis of a black hole [26,27,[31][32][33][34]. In [31], it was observed that a near horizon analysis in principle harbours a conformal symmetry leading to a Planck-like distribution for the simultaneously emitted photons from two-level atoms freely falling into static spherically symmetric black holes.…”

Section: Introductionmentioning

confidence: 99%

Near horizon approximation and beyond for a two-level atom falling into a Kerr-Newman black hole

Sen¹,

Mandal²,

Gangopadhyay³

2023

Preprint

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In this work we investigate the phenomena of acceleration radiation for a two-level atom falling into the event horizon of a Kerr-Newman black hole. In (Phys. Rev. D 104 (2021) 065006), it has been shown that conformal quantum mechanics has a connection to the generated Planck-like spectrum due to acceleration radiation. In this particular aspect, the near horizon approximation played a significant role. In Phys. Rev. D 106 (2022) 025004, we have used the beyond near horizon approximation to show that the excitation probability attains a Planck-like spectrum irrespective of the non-existence of an underlying conformal symmetry for a general class of static spherically symmetric black holes. In our analysis we have gone beyond the near horizon approximation for the rotating and charged case and even without the consideration of the conformal symmetry we observe a similar Planck-like spectrum. However, the coefficient of the spectrum is significantly different from the near horizon case. We have then considered a different scenario where a two-level atom emits multiple photons while freely falling into the event horizon of the Kerr-Newman black hole. It is observed that the Planck factor in the excitation probability is significantly small than that of the case of single-photon emission (for large number of simultaneously emitted photons from the two-level atom). Finally, we have computed the von-Neumann entropy which is also known as the horizon brightened acceleration radiation entropy or the HBAR entropy. We have carried out our analysis for a scalar field only to see the effect of the charge and rotation of the black hole in this particular scenario.

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Section: Introductionmentioning

confidence: 99%

Near horizon approximation and beyond for a two-level atom falling into a Kerr-Newman black hole

Sen¹,

Mandal²,

Gangopadhyay³

2023

Preprint

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show abstract

“…Hawking radiation [3][4][5], particle emission from black holes [8][9][10], the Unruh effect [11], and acceleration radiation [12][13][14][15][16][17][18][19][20][21][22][23][24]. The Hawking radiation from a black hole can be directly related to the Unruh effect which is nothing but the detection of particles by an accelerated detector in an inertial vacuum.…”

Section: Introductionmentioning

confidence: 99%

“…The entropy of radiation emitted in this process is termed as horizon brightened acceleration radiation entropy (HBAR) which is a tool to understand the relation between atom optics and general relativity as mentioned above [19]. Very few works have also recently focused at the effects of conformal symmetry in analyzing the near horizon aspects of a black hole [20][21][22][23]. In these works the main focus is on the near horizon aspects of a generalized D-dimensional Schwarzschild black hole and its relation with Hawking radiation in case of the existence of a conformal symmetry.…”

Section: Introductionmentioning

confidence: 99%

Near horizon aspects (and beyond) of acceleration radiation of an atom falling into a large class of static spherically symmetric black hole geometries

Sen,

Mandal,

Gangopadhyay

2022

Preprint

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The near horizon aspects of a generic black hole metric is considered here. It has been realized recently that an atom falling into a black hole leads to the generation of acceleration radiation through virtual transitions. In recent studies it has been argued that this acceleration radiation can be understood from the near horizon physics of the black hole. The near horizon approximation leads to conformal symmetry in the problem. We go beyond the near horizon approximation in our analysis. This breaks the conformal symmetry associated with the near horizon physics of the black hole geometry. We observe that even without the consideration of the conformal symmetry, the modified equivalence relation holds. Further, our analysis reveals that the probability of virtual transition retains its Planck like form with the amplitude getting modified due to the beyond near horizon approximation. For the next part of our analysis, we have observed the horizon brightened acceleration radiation entropy (HBAR) for a Garfinkle-Horowitz-Strominger (GHS) black hole. We observe that the HBAR entropy misses out on a quantum gravity like correction while considering the conformal case. However, such a correction emerges when the conformal symmetry gets broken in the beyond near horizon analysis.

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“…In the seminal works [2][3][4], Stephen Hawking showed that when we consider quantum effects in curved spacetime, a black hole emits radiation. The formulation of black hole thermodynamics [2][3][4][5][6], Hawking radiation [2][3][4], particle emission from black holes [7][8][9], and acceleration radiation [10][11][12][13][14][15][16][17][18][19][20][21], generated a link between gravitation, geometry and thermodynamics. The thermodynamics of black holes has become a field of extreme importance in recent times.…”

Section: Introductionmentioning

confidence: 99%

Phase transition structure and breaking of universal nature of central charge criticality in a Born-Infeld $AdS$ black hole

Kumar,

Sen,

Gangopadhyay

2022

Preprint

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In this paper we have considered the thermodynamics of a Born-Infeld AdS black hole using inputs from the dual boundary field theory. Here, we have varied the cosmological constant Λ and the Newton's gravitational constant G along with the Born-Infeld parameter b in the bulk. A novel universal critical behaviour of the central charge (occurring in the boundary conformal field theory) in extended black hole thermodynamics for charged black holes has been recently observed [1], and we have extended this study to Born-Infeld AdS black holes. The Born-Infeld parameter has the dimension of inverse length, therefore, when considered in the first law of thermodynamics of the bulk in the mixed form which includes the central charge of the boundary conformal field theory, it modifies the thermodynamic volume and the chemical potential (which are conjugate to pressure and central charge respectively). We observe that due to this inclusion of the Born-Infeld non-linearity in this analysis, the universal nature of the critical value of the central charge observed in [1] breaks down. We also observe an interesting phase transition structure of the black hole due to the variations in both the central charge and the Born-Infeld parameter. Apart from the small black hole to large black hole phase transition behaviour, it also shows Hawking-Page phase transition. It is also observed in our analysis that for a sufficiently small value of the Born-Infeld parameter (small value of this parameter has more prominent non-linear effects), there exists a critical value of the temperature below which there is only Hawking radiation in the system, which in turn implies a thermal AdS spacetime.

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

Cited by 17 publications

References 32 publications

Near horizon approximation and beyond for a two-level atom falling into a Kerr-Newman black hole

Near horizon approximation and beyond for a two-level atom falling into a Kerr-Newman black hole

Near horizon aspects (and beyond) of acceleration radiation of an atom falling into a large class of static spherically symmetric black hole geometries

Phase transition structure and breaking of universal nature of central charge criticality in a Born-Infeld $AdS$ black hole

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