Quantum Back Flow Across a Black Hole Horizon in a Toy Model Approach
- URL: http://arxiv.org/abs/2105.03944v2
- Date: Thu, 14 Oct 2021 14:42:56 GMT
- Title: Quantum Back Flow Across a Black Hole Horizon in a Toy Model Approach
- Authors: Dripto Biswas and Subir Ghosh
- Abstract summary: 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.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Quantum Back Flow (QBF), discovered quite a few years back, is a generic
purely quantum phenomenon, in which the probability of finding a particle in a
direction is non-zero (and increasing for a certain period of time) even when
the particle has with certainty a velocity in the opposite direction. In this
paper, we study QBF of a quantum particle across the event horizon of a
Schwarzschild Black Hole. In a toy model approach, we consider a superposition
of two ingoing solutions and observe the probability density and probability
current. We explicitly demonstrate a non-vanishing quantum backflow in a small
region around the event horizon. This is in contrast to the classical black
hole picture, that once an excitation crosses the horizon, it is lost forever
from the outside world. Deeper implications of this phenomenon are speculated.
We also study quantum backflow for another spacetime with a horizon, the
Rindler spacetime, where the phenomenon can be studied only within the Rindler
wedge.
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