A Semi-classical Spacetime Region with Maximum Entropy
- URL: http://arxiv.org/abs/2309.00602v3
- Date: Thu, 4 Jan 2024 17:02:40 GMT
- Title: A Semi-classical Spacetime Region with Maximum Entropy
- Authors: Yuki Yokokura
- Abstract summary: We consider a 4D spherically-symmetric static finite spacetime region as a collection of quanta in the semi-classical Einstein equation.
We estimate the entropy in a WKB-like method considering local consistency with thermodynamics and find its upper bound.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We consider a 4D spherically-symmetric static finite spacetime region as a
collection of quanta in the semi-classical Einstein equation and study the
entropy including the self-gravity. For sufficiently excited states, we
estimate the entropy in a WKB-like method considering local consistency with
thermodynamics and find its upper bound. The saturation condition uniquely
determines the entropy-maximized spacetime as a radially uniform dense
configuration with near-Planckian curvatures and a surface just outside the
Schwarzschild radius. The interior metric is a non-perturbative solution in
$\hbar$, leading to the species bound. The maximum entropy then saturates the
Bousso bound and coincides with the Bekenstein-Hawking formula. Thus, the
Bousso bound in this class of spacetime is verified by constructing the
saturating configuration that has no horizon and stores information inside.
Related papers
- Entanglement entropy in quantum black holes [2.3301643766310374]
We discuss the entanglement entropy for a massive Klein-Gordon field in two Schwarzschild-like quantum black hole spacetimes.
We estimate the free parameters for such quantum metrics through a simple physical argument based on Heisenberg uncertainty principle.
Our findings reveal a significant decrease in entropy compared to the area law near the origin for the quantum metrics.
arXiv Detail & Related papers (2024-03-31T15:19:03Z) - The Fermionic Entanglement Entropy and Area Law for the Relativistic Dirac Vacuum State [44.99833362998488]
We consider the fermionic entanglement entropy for the free Dirac field in a bounded spatial region of Minkowski spacetime.
An area law is proven in the limiting cases where the volume tends to infinity and/or the regularization length tends to zero.
arXiv Detail & Related papers (2023-10-05T12:08:03Z) - Entanglement entropy in conformal quantum mechanics [68.8204255655161]
We consider sets of states in conformal quantum mechanics associated to generators of time evolution whose orbits cover different regions of the time domain.
States labelled by a continuous global time variable define the two-point correlation functions of the theory seen as a one-dimensional conformal field theory.
arXiv Detail & Related papers (2023-06-21T14:21:23Z) - Entanglement area law violation from field-curvature coupling [0.0]
We investigate the entanglement entropy of a massive scalar field nonminimally coupled to spacetime curvature.
We show that large positive coupling constants can significantly alter the entropy scaling with respect to the boundary area.
Our outcomes are interpreted in view of black hole entropy production and early universe scenarios.
arXiv Detail & Related papers (2023-06-14T08:48:51Z) - Fermion production at the boundary of an expanding universe: a cold-atom
gravitational analogue [68.8204255655161]
We study the phenomenon of cosmological particle production of Dirac fermions in a Friedman-Robertson-Walker spacetime.
We present a scheme for the quantum simulation of this gravitational analogue by means of ultra-cold atoms in Raman optical lattices.
arXiv Detail & Related papers (2022-12-02T18:28:23Z) - Continuous percolation in a Hilbert space for a large system of qubits [58.720142291102135]
The percolation transition is defined through the appearance of the infinite cluster.
We show that the exponentially increasing dimensionality of the Hilbert space makes its covering by finite-size hyperspheres inefficient.
Our approach to the percolation transition in compact metric spaces may prove useful for its rigorous treatment in other contexts.
arXiv Detail & Related papers (2022-10-15T13:53:21Z) - Self-Gravity and Bekenstein-Hawking Entropy [0.0]
We study the effect of self-gravity on entropy by directly solving the 4D semi-classical Einstein equation.
In particular, we focus on whether the Bekenstein-Hawking formula holds when self-gravity is extremely strong.
arXiv Detail & Related papers (2022-07-28T17:55:11Z) - Neural-Network Quantum States for Periodic Systems in Continuous Space [66.03977113919439]
We introduce a family of neural quantum states for the simulation of strongly interacting systems in the presence of periodicity.
For one-dimensional systems we find very precise estimations of the ground-state energies and the radial distribution functions of the particles.
In two dimensions we obtain good estimations of the ground-state energies, comparable to results obtained from more conventional methods.
arXiv Detail & Related papers (2021-12-22T15:27:30Z) - Exotic equilibration dynamics on a 1-D quantum CNOT gate lattice [0.0]
We consider the dynamics of local entropy and nearest neighbor mutual information of a 1-D lattice of qubits.
We analyze the entropy dynamics for different initial product states, both for open boundary conditions, periodic boundary conditions and we also consider the infinite lattice thermodynamic limit.
arXiv Detail & Related papers (2021-02-10T21:26:44Z) - One-to-one correspondence between entanglement mechanics and black hole
thermodynamics [0.0]
We establish a one-to-one mapping between entanglement entropy, energy, and temperature.
We show this universally for 4-D spherically symmetrically flat and non-flat space-times with single and multiple horizons.
arXiv Detail & Related papers (2020-10-07T13:57:57Z) - Analog cosmological reheating in an ultracold Bose gas [58.720142291102135]
We quantum-simulate the reheating-like dynamics of a generic cosmological single-field model in an ultracold Bose gas.
Expanding spacetime as well as the background oscillating inflaton field are mimicked in the non-relativistic limit.
The proposed experiment has the potential of exploring the evolution up to late times even beyond the weak coupling regime.
arXiv Detail & Related papers (2020-08-05T18:00:26Z)
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.