Qubit clock in quantum cosmology

• URL: http://arxiv.org/abs/2201.02770v2
• Date: Thu, 3 Feb 2022 07:11:22 GMT
• Title: Qubit clock in quantum cosmology
• Authors: Yasusada Nambu
• Abstract summary: We show how entanglement between the qubit clock and the geometry derives emergence of a time parameter which defines evolution of the timeless quantum state of the universe. We show the universe wave function conditioned by a qubit clock obeys the standard Schr"odinger equation and the Fisher information for the clock state, which quantifies entanglement between the universe and the clock, contributes as a negative energy density.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate the emergent time scenario in quantum cosmology based on the Page-Wotters approach. Using a quantum cosmological model with a qubit clock, it is demonstrated how the entanglement between the qubit clock and the geometry derives emergence of a time parameter which defines evolution of the timeless quantum state of the universe. We show the universe wave function conditioned by a qubit clock obeys the standard Schr\"{o}dinger equation and the Fisher information for the clock state, which quantifies entanglement between the universe and the clock, contributes as a negative energy density.

Related papers

• Using coherent feedback for a periodic clock [14.1128902075348]
  We introduce a novel, fully quantum clock using a driven oscillator in the quantum regime and coherent quantum feedback. We experimentally implement the model using two superconducting cavities with incorporated Josephson junctions and microwave circulators. Under specific conditions of noisy driving, we observe that the clock oscillations are more coherent than the drive, pointing towards the implementation of a quantum autonomous clock.
  arXiv  Detail & Related papers  (2024-10-30T11:34:14Z)
• Geometry and proper time of a relativistic quantum clock [0.0]
  A new framework is demonstrated for perturbing the classical path-length functional to include quantum degrees of freedom. In this framework, a quantum clock travels on geodesics of a family of spacetimes deformed by parameters specifying the clock's quantum state.
  arXiv  Detail & Related papers  (2024-10-10T17:39:29Z)
• Quantum clock in the projection evolution formalism [0.0]
  We discuss the possibility of constructing a quantum clock, which advances in time during its quantum evolution. We propose a working two-state model as the simplest example of such a clock.
  arXiv  Detail & Related papers  (2023-11-24T09:56:34Z)
• A magnetic clock for a harmonic oscillator [89.99666725996975]
  We study how the quantum dynamics transforms into a classical-like behaviour when conditions related with macroscopicity are met by the clock alone. In the description of this emerging behaviour finds its place the classical notion of time, as well as that of phase-space and trajectories on it.
  arXiv  Detail & Related papers  (2023-10-20T09:55:51Z)
• Unitarity and quantum resolution of gravitational singularities [0.0]
  We show that unitarity for a clock that encounters a classical singularity at finite time implies quantum resolution, but for a clock that encounters future infinity at finite time leads to a quantum recollapse.
  arXiv  Detail & Related papers  (2022-05-30T19:11:33Z)
• Non-inertial quantum clock frames lead to non-Hermitian dynamics [0.0]
  We study an accelerating massive quantum particle with an internal clock system. We show that the evolution from the perspective of the particle's internal clock is non-Hermitian.
  arXiv  Detail & Related papers  (2022-04-08T16:52:24Z)
• Wave Functional of the Universe and Time [62.997667081978825]
  A version of the quantum theory of gravity based on the concept of the wave functional of the universe is proposed. The history of the evolution of the universe is described in terms of coordinate time together with arbitrary lapse and shift functions.
  arXiv  Detail & Related papers  (2021-10-18T09:41:59Z)
• Time and Evolution in Quantum and Classical Cosmology [68.8204255655161]
  We show that it is neither necessary nor sufficient for the Poisson bracket between the time variable and the super-Hamiltonian to be equal to unity in all of the phase space. We also discuss the question of switching between different internal times as well as the Montevideo interpretation of quantum theory.
  arXiv  Detail & Related papers  (2021-07-02T09:17:55Z)
• Imaginary Time Propagation on a Quantum Chip [50.591267188664666]
  Evolution in imaginary time is a prominent technique for finding the ground state of quantum many-body systems. We propose an algorithm to implement imaginary time propagation on a quantum computer.
  arXiv  Detail & Related papers  (2021-02-24T12:48:00Z)
• There is only one time [110.83289076967895]
  We draw a picture of physical systems that allows us to recognize what is this thing called "time" We derive the Schr"odinger equation in the first case, and the Hamilton equations of motion in the second one.
  arXiv  Detail & Related papers  (2020-06-22T09:54:46Z)
• Projection evolution and quantum spacetime [68.8204255655161]
  We discuss the problem of time in quantum mechanics. An idea of construction of a quantum spacetime as a special set of the allowed states is presented. An example of a structureless quantum Minkowski-like spacetime is also considered.
  arXiv  Detail & Related papers  (2019-10-24T14:54:11Z)

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.