Time of arrival through interacting environments: Tunneling processes
arXiv:quant-ph/9912109 · doi:10.1103/PhysRevA.62.022101
Abstract
We discuss the propagation of wave packets through interacting environments. Such environments generally modify the dispersion relation or shape of the wave function. To study such effects in detail, we define the distribution function P_{X}(T), which describes the arrival time T of a packet at a detector located at point X. We calculate P_{X}(T) for wave packets traveling through a tunneling barrier and find that our results actually explain recent experiments. We compare our results with Nelson's stochastic interpretation of quantum mechanics and resolve a paradox previously apparent in Nelson's viewpoint about the tunneling time.
Latex 19 pages, 11 eps figures, title modified, comments and references added, final version
References in corpus (5)
- Coherent control of macroscopic quantum states in a single-Cooper-pair box
- Time-of-arrival distribution for arbitrary potentials and Wigner's time-energy uncertainty relation
- Quantum evolution in spacetime foam
- Transmission time of wave packets through tunneling barriers
- Time of arrival through a quantum barrier
Cited by in corpus (14)
- Lectures on renormalization and asymptotic safety
- Time of arrival in the presence of interactions
- Quantum arrival times and operator normalization
- Operator normalized quantum arrival times in the presence of interactions
- Time Delay Plots of Unflavoured Baryons
- Collision times in pi-pi and pi-K scattering and spectroscopy of meson resonances
- Weak measurement of arrival time
- Spin dependent observable effect for free particles using the arrival time distribution
- Quantum temporal probabilities in tunneling systems
- Time-of-arrival probabilities and quantum measurements: III Decay of unstable states
- Numerical simulations of quantum clock for measuring tunneling times
- Control of Arrival Time using Structured Wave Packets
- Inequivalence of stochastic and Bohmian arrival times in time-of-flight experiments
- Scattering of two-level atoms by delta lasers: Exactly solvable models in atom optics