Quantitative probing of quantum-classical transition for the arrival time distribution
arXiv:0906.1041 · doi:10.1088/1751-8113/42/16/165302
Abstract
The classical limit problem of quantum mechanics is revisited on the basis of a scheme that enables a quantitative study of the way the quantum-classical agreement emerges while going through the intermediate mass range between the microscopic and the macroscopic domains. As a specific application of such a scheme, we investigate the classical limit of a quantum time distribution - an area of study that has remained largely unexplored. For this purpose, we focus on the arrival time distribution in order to examine the way the observable results pertaining to the quantum arrival time distribution which is defined in terms of the probability current density gradually approach the relevant classical statistical results for an ensemble that corresponds to a Gaussian wave packet evolving in a linear potential.
References in corpus (13)
- Decoherence of matter waves by thermal emission of radiation
- Hanbury Brown Twiss effect for ultracold quantum gases
- Correlations and Counting Statistics of an Atom Laser
- The wave nature of biomolecules and fluorofullerenes
- Quantum mechanics and the equivalence principle
- Uniqueness of conserved currents in quantum mechanics
- On the quantum analogue of Galileo's leaning tower experiment
- On the uniqueness of paths for spin-0 and spin-1 quantum mechanics
- Spin dependent observable effect for free particles using the arrival time distribution
- Simple examples of position-momentum correlated Gaussian free-particle wavepackets in one-dimension with the general form of the time-dependent spread in position
- Quantum time of flight distribution for cold trapped atoms
- Observability of the arrival time distribution using spin-rotator as a quantum clock
- Bohmian approach to spin-dependent time of arrival for particles in a uniform field and for particles passing through a barrier