The semiclassical limit of a quantum Zeno dynamics
arXiv:2302.02673 · doi:10.1007/s11005-023-01730-7
Abstract
Motivated by a quantum Zeno dynamics in a cavity quantum electrodynamics setting, we study the asymptotics of a family of symbols corresponding to a truncated momentum operator, in the semiclassical limit of vanishing Planck constant and large quantum number , with kept fixed. In a suitable topology, the limit is the discontinuous symbol where is the characteristic function of the classically permitted region in phase space. A refined analysis shows that the symbol is asymptotically close to the function , where is a smooth version of related to the integrated Airy function. We also discuss the limit from a dynamical point of view.
arXiv comment28 pages, 5 figures
References in corpus (22)
- Level-Spacing Distributions and the Airy Kernel
- Determinantal Processes and Independence
- Quantum Zeno dynamics: mathematical and physical aspects
- Point processes in arbitrary dimension from fermionic gases, random matrix theory, and number theory
- Universality in the full counting statistics of trapped fermions
- Quantum Zeno dynamics of a field in a cavity
- Phase space tweezers for tailoring cavity fields by quantum Zeno dynamics
- Noninteracting fermions in a trap and random matrix theory
- Quantum ripples over a semi-classical shock
- Generating All Wigner Functions
- Wigner function of noninteracting trapped fermions
- Fermi distribution of semicalssical non-eqilibrium Fermi states
- Quantum Zeno effect and dynamics
- Product formula related to quantum Zeno dynamics
- The Fuzzy Disc
- Free fermions and the classical compact groups
- Zeno product formula revisited
- Zeno Dynamics in Quantum Statistical Mechanics
- Free fermions and -determinantal processes
- Zeno Dynamics of von Neumann Algebras
- Note on a Product Formula Related to Quantum Zeno Dynamics
- On the selection of the classical limit for potentials with BV derivatives