AdS/CFT Correspondence with a 3D Black Hole Simulator

• URL: http://arxiv.org/abs/2211.15305v2
• Date: Thu, 7 Dec 2023 09:28:13 GMT
• Title: AdS/CFT Correspondence with a 3D Black Hole Simulator
• Authors: Aydin Deger and Matthew D. Horner and Jiannis K. Pachos
• Abstract summary: We use a square lattice of fermions with inhomogeneous tunneling couplings to simulate rotationally symmetric 3D black holes on Dirac fields. We identify the parametric regime where the theoretically predicted 2D CFT faithfully describes the black hole entanglement entropy. With the help of the universal simulator we further demonstrate that a large family of 3D black holes exhibit the same ground state entanglement entropy behavior as the BTZ black hole.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: One of the key applications of AdS/CFT correspondence is the duality it dictates between the entanglement entropy of Anti-de Sitter (AdS) black holes and lower-dimensional conformal field theories (CFTs). Here we employ a square lattice of fermions with inhomogeneous tunneling couplings that simulate the effect rotationally symmetric 3D black holes have on Dirac fields. When applied to 3D BTZ black holes we identify the parametric regime where the theoretically predicted 2D CFT faithfully describes the black hole entanglement entropy. With the help of the universal simulator we further demonstrate that a large family of 3D black holes exhibit the same ground state entanglement entropy behavior as the BTZ black hole. The simplicity of our simulator enables direct numerical investigation of a wide variety of 3D black holes and the possibility to experimentally realize it with optical lattice technology.

Related papers

• Singular Excitement Beyond the Horizon of a Rotating Black Hole [4.003194245289446]
  We numerically compute the detector's transition rate for different values of black hole mass, black hole angular momentum, detector energy gap, and field boundary conditions at infinity. Our results lead to a more generalized description of the behaviour of particle detectors in BTZ black hole spacetime.
  arXiv  Detail & Related papers  (2024-07-01T18:00:01Z)
• Exploring regular black holes within the framework of the TFD formalism [0.0]
  The energy-momentum tensor is calculated for a regular black hole solution. The results for the regular black hole are compared with those obtained for the Schwarzschild black hole.
  arXiv  Detail & Related papers  (2024-06-29T23:49:12Z)
• Characterization of a Transmon Qubit in a 3D Cavity for Quantum Machine Learning and Photon Counting [28.32051890758564]
  We first describe the realization and characterization of a transmon qubit coupled to a 3D resonator. We then report on a Quantum Machine Learning application implemented on the single-qubit device. In the final section of the manuscript we present a new microwave photon detection scheme based on two qubits coupled to the same 3D resonator.
  arXiv  Detail & Related papers  (2024-02-06T19:07:19Z)
• Probing quantum properties of black holes with a Floquet-driven optical lattice simulator [0.0]
  We present an analogue quantum simulation of (1 + 1)- dimensional black holes using ultracold atoms in a locally Floquet-driven 1D optical lattice. We show how the effective dynamics of the driven system can generate a position-dependent tunnelling profile that encodes the curved geometry of the black hole. We provide a simple and robust scheme to determine the Hawking temperature of the simulated black hole based solely on on-site atom population measurements.
  arXiv  Detail & Related papers  (2023-12-21T17:36:28Z)
• Operator growth and black hole formation [3.793716747008753]
  When two particles collide in anally AdS spacetime with high enough energy and small enough impact parameter, they can form a black hole. Motivated by dual quantum circuit considerations, we propose a threshold condition for black hole formation.
  arXiv  Detail & Related papers  (2023-04-27T17:26:16Z)
• Constraints on physical computers in holographic spacetimes [49.1574468325115]
  We show that there are computations on $n$ qubits which cannot be implemented inside of black holes with entropy less than $O(2n)$. We argue computations happening inside the black hole must be implementable in a programmable quantum processor.
  arXiv  Detail & Related papers  (2023-04-19T18:00:50Z)
• Gravitationally Lensed Black Hole Emission Tomography [21.663531093434127]
  We propose BH-NeRF, a novel tomography approach that leverages gravitational lensing to recover the continuous 3D emission field near a black hole. Our method captures the unknown emission field using a continuous volumetric function parameterized by a coordinate-based neural network. This work takes the first steps in showing how future measurements from the Event Horizon Telescope could be used to recover evolving 3D emission around the supermassive black hole in our Galactic center.
  arXiv  Detail & Related papers  (2022-04-07T20:09:51Z)
• Photon-mediated Stroboscopic Quantum Simulation of a $\mathbb{Z}_{2}$ Lattice Gauge Theory [58.720142291102135]
  Quantum simulation of lattice gauge theories (LGTs) aims at tackling non-perturbative particle and condensed matter physics. One of the current challenges is to go beyond 1+1 dimensions, where four-body (plaquette) interactions, not contained naturally in quantum simulating devices, appear. We show how to prepare the ground state and measure Wilson loops using state-of-the-art techniques in atomic physics.
  arXiv  Detail & Related papers  (2021-07-27T18:10:08Z)
• Visualizing spinon Fermi surfaces with time-dependent spectroscopy [62.997667081978825]
  We propose applying time-dependent photo-emission spectroscopy, an established tool in solid state systems, in cold atom quantum simulators. We show in exact diagonalization simulations of the one-dimensional $t-J$ model that the spinons start to populate previously unoccupied states in an effective band structure. The dependence of the spectral function on the time after the pump pulse reveals collective interactions among spinons.
  arXiv  Detail & Related papers  (2021-05-27T18:00:02Z)
• Six-point functions and collisions in the black hole interior [71.67770216265583]
  We consider two signals sent from the boundaries into the black hole interior shared between the two regions. We compute three different out-of-time-order six-point functions to quantify various properties of the collision.
  arXiv  Detail & Related papers  (2021-05-26T18:01:23Z)
• Binary Black Hole Information Loss Paradox & Future Prospects [2.6285579209051293]
  We present the interaction with a binary black hole system by using an arrangement of the three qubit system of Greenberger Horne Zeilinger (GHZ) state. We also propose how modern detection of gravitational waves can be used on our optical setup as an input source.
  arXiv  Detail & Related papers  (2020-04-09T17:26:26Z)

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.