Thermality of horizon through near horizon instability: a path integral approach

• URL: http://arxiv.org/abs/2210.04056v2
• Date: Sat, 14 Oct 2023 05:16:37 GMT
• Title: Thermality of horizon through near horizon instability: a path integral approach
• Authors: Gaurang Ramakant Kane, Bibhas Ranjan Majhi
• Abstract summary: The near horizon Hamiltonian of a chargeless outgoing particle, for its particular motion in static as well as stationary black holes, is effectively $sim XP$ kind. We calculate the effective path corresponding to its Schrodinger version of Hamiltonian through the path integral approach. In both ways, we identify the correct expression of Hawking temperature.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Recent investigations revealed that the near horizon Hamiltonian of a massless, chargeless outgoing particle, for its particular motion in static as well as stationary black holes, is effectively $\sim xp$ kind. This is unstable by nature and has the potential to explain a few interesting physical phenomena. From the path integral kernel, we first calculate the density of states. Also, following the idea of [Phys. Rev. D 85, 025011 (2012)] here, in the vicinity of the horizon, we calculate the effective path corresponding to its Schrodinger version of Hamiltonian through the path integral approach. The latter result appears to be complex in nature and carries the information of escaping the probability of the particle through the horizon. In both ways, we identify the correct expression of Hawking temperature. Moreover, here we successfully extend the complex path approach to a more general black hole like Kerr spacetime. We feel that such a complex path is an outcome of the nature of near horizon instability provided by the horizon and, therefore, once again bolstered the fact that the thermalization mechanism of the horizon may be explained through the aforesaid local instability.

Related papers

• Decoherence by warm horizons [12.14598582153305]
  We map the DSW set-up onto a worldline-localized model resembling an Unruh-DeWitt particle detector. We show that the Unruh effect is the only quantum mechanical effect underlying these random forces.
  arXiv  Detail & Related papers  (2024-05-01T18:39:00Z)
• Ultracold Neutrons in the Low Curvature Limit: Remarks on the post-Newtonian effects [49.1574468325115]
  We apply a perturbative scheme to derive the non-relativistic Schr"odinger equation in curved spacetime. We calculate the next-to-leading order corrections to the neutron's energy spectrum. While the current precision for observations of ultracold neutrons may not yet enable to probe them, they could still be relevant in the future or in alternative circumstances.
  arXiv  Detail & Related papers  (2023-12-30T16:45:56Z)
• A hybrid quantum algorithm to detect conical intersections [39.58317527488534]
  We show that for real molecular Hamiltonians, the Berry phase can be obtained by tracing a local optimum of a variational ansatz along the chosen path. We demonstrate numerically the application of our algorithm on small toy models of the formaldimine molecule.
  arXiv  Detail & Related papers  (2023-04-12T18:00:01Z)
• Gravitational orbits, double-twist mirage, and many-body scars [77.34726150561087]
  We explore the implications of stable gravitational orbits around an AdS black hole for the boundary conformal field theory. The orbits are long-lived states that eventually decay due to gravitational radiation and tunneling.
  arXiv  Detail & Related papers  (2022-04-20T19:18:05Z)
• Quantum simulation of Hawking radiation and curved spacetime with a superconducting on-chip black hole [18.605453401936643]
  We report a fermionic lattice-model-type realization of an analogue black hole by using a chain of 10 superconducting transmon qubits with interactions mediated by 9 transmon-type tunable couplers. The quantum walks of quasi-particle in the curved spacetime reflect the gravitational effect near the black hole, resulting in the behaviour of stimulated Hawking radiation.
  arXiv  Detail & Related papers  (2021-11-22T10:17:23Z)
• A Little Excitement Across the Horizon [3.8004522354603143]
  We analyse numerically the transitions in an Unruh-DeWitt detector, coupled linearly to a massless scalar field, in radial infall in (3+1)-dimensional Schwarzschild spacetime. In the Hartle-Hawking and Unruh states, the transition probability attains a small local extremum near the horizon-crossing and is then moderately enhanced on approaching the singularity. The unexpected near-horizon extremum arises numerically from angular momentum superpositions, with a deeper physical explanation to be found.
  arXiv  Detail & Related papers  (2021-09-27T18:00:04Z)
• Information storage and near horizon quantum correlations [0.0]
  We show that the entropy sphere associated with the underlying microstructure has to be necessarily broadened when the fine grained radiation entropy becomes maximal. We argue that the standard thermodynamical description is valid so long the black hole viewed from outside is sufficiently large, radiation escaping into the future null infinity can be described on a smooth spacetime background, and the von Neumann entropy of Hawking radiation evolves unitarily.
  arXiv  Detail & Related papers  (2021-09-03T17:32:45Z)
• Quantum Back Flow Across a Black Hole Horizon in a Toy Model Approach [0.0]
  Quantum Back Flow (QBF) is a generic purely quantum phenomenon. We study QBF of a quantum particle across the event horizon of a Schwarzschild Black Hole. Deeper implications of this phenomenon are speculated.
  arXiv  Detail & Related papers  (2021-05-09T13:49:43Z)
• Horizon thermalization of Kerr black hole through local instability [0.0]
  We show that for a chargeless massless particle, the near horizon radial motion in Kerr spacetime, like SSS BH, can be locally unstable. It again confirms that near horizon instability is liable for its own temperature and moreover generalizes the validity of our conjectured mechanism for the black hole horizon thermalization.
  arXiv  Detail & Related papers  (2021-03-22T06:50:58Z)
• Is instability near a black hole key for "thermalization'' of its horizon? [0.0]
  Near horizon Hamiltonian for a massless, chargeless particle is $xp$ type. This is unstable in nature and so the horizon can induce instability in a system. The particle in turn finds the horizon thermal when it interacts with it.
  arXiv  Detail & Related papers  (2021-01-12T13:05:37Z)
• Density profile of a semi-infinite one-dimensional Bose gas and bound states of the impurity [62.997667081978825]
  We study the effect of the boundary on a system of weakly interacting bosons in one dimension. The quantum contribution to the boson density gives rise to small corrections of the bound state energy levels.
  arXiv  Detail & Related papers  (2020-07-21T13:12:33Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.