Quantum speed limit and stability of coherent states in quantum gravity
arXiv:2112.01597 · doi:10.1088/1361-6382/ac6faa
Abstract
Utilizing the program of expectation values in coherent states and its recently developed algorithmic tools, this letter investigates the dynamical properties of cosmological coherent states for Loop Quantum Gravity. To this end, the Quantum Speed Limit is adapted to Quantum Gravity, yielding necessary consistency checks for any proposal of stable families of states. To showcase the strength of the developed tools, they are applied to a prominent model: the Euclidean part of the quantum scalar constraint. We report the variance of this constraint evaluated on a family of coherent states showing that, for short times, this family passes the Quantum Speed Limit test, allowing the transition from one coherent state to another one.
6 pages
References in corpus (11)
- Quantum Nature of the Big Bang: Improved dynamics
- Quantum Nature of the Big Bang
- Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
- Quantum speed limit for physical processes
- Quantum speed limits in open system dynamics
- Algebraic Quantum Gravity (AQG) II. Semiclassical Analysis
- Action quantum speed limits
- Effective Scenario of Loop Quantum Cosmology
- First-Order Quantum Correction in Coherent State Expectation Value of Loop-Quantum-Gravity Hamiltonian
- Algorithmic approach to Cosmological Coherent State Expectation Values in LQG
- Symmetry restriction and its application to gravity