Quantum statistical effects in multi-channel wave packet scattering of non-interacting identical particles

Abstract

For a number of non-interacting identical particles entering a multi-channel scatterer in various wave packet states, we construct a generating function for the probabilities of various scattering outcomes. This is used to evaluate the mean numbers of particles ${\overline{n}}_m$ scattered into a given ($m$-th) channel, single-channel statistics, and inter-channel correlations. We show that for initially uncorrelated particles, indistinguishability changes single channel statistics without altering the the value of ${\overline{n}}_m$. For uncorrelated bosons and fermions, bunching and anti-bunching behaviour can be detected in the extreme-case probabilities, to have all particles scattered into the same channel, or none of particles scattered into a channel, or channels. As an example, we consider a cavity with a single long-lived resonance accessible to the particles, which allows them to "pile up" inside the scatterer.

References in corpus (20)

• De Broglie Wavelength of a Nonlocal Four-Photon
• Fermionization of two distinguishable fermions
• Entangling Independent Photons by Time Measurement
• An atomic Hong-Ou-Mandel experiment
• Zero-Transmission Law for Multiport Beam Splitters
• General rules for bosonic bunching in multimode interferometers
• Counting Statistics of Many-Particle Quantum Walks
• Fermionic statistics suppresses Fano resonances
• Wave-packet Formalism of Full Counting Statistics
• Tunneling theory of two interacting atoms in a trap
• Tunable source of correlated atom beams
• Tunneling decay of two interacting bosons in an asymmetric double-well potential: A spectral approach
• Indistinguishability of independent single photons
• Multiparticle correlations in mesoscopic scattering: boson sampling, birthday paradox, and Hong-Ou-Mandel profiles
• Time-dependent exchange and tunneling: detection at the same place of two electrons emitted simultaneously from different sources
• Two-dimensional Fermionic Hong-Ou-Mandel Interference with Weyl Fermions
• Quantum law of rare events for systems with Bose-Einstein statistics
• Interference effects in tunnelling of "cat" wave packet states
• Symmetry-assisted resonance transmission of identical particles
• Statistics of resonance and non-resonance tunnelling of fermionised cold atoms