Standard

Multilevel interference of a neutron wave. / Grigoriev, S. V.; Chetverikov, Yu O.; Metelev, S. V.; Kraan, W. H.

In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 74, No. 4, 043605, 2006.

Research output: Contribution to journal › Article › peer-review

Harvard

Grigoriev, SV, Chetverikov, YO, Metelev, SV & Kraan, WH 2006, 'Multilevel interference of a neutron wave', Physical Review A - Atomic, Molecular, and Optical Physics, vol. 74, no. 4, 043605. https://doi.org/10.1103/PhysRevA.74.043605

APA

Grigoriev, S. V., Chetverikov, Y. O., Metelev, S. V., & Kraan, W. H. (2006). Multilevel interference of a neutron wave. Physical Review A - Atomic, Molecular, and Optical Physics, 74(4), [043605]. https://doi.org/10.1103/PhysRevA.74.043605

Vancouver

Grigoriev SV, Chetverikov YO, Metelev SV, Kraan WH. Multilevel interference of a neutron wave. Physical Review A - Atomic, Molecular, and Optical Physics. 2006;74(4). 043605. https://doi.org/10.1103/PhysRevA.74.043605

Author

Grigoriev, S. V. ; Chetverikov, Yu O. ; Metelev, S. V. ; Kraan, W. H. / Multilevel interference of a neutron wave. In: Physical Review A - Atomic, Molecular, and Optical Physics. 2006 ; Vol. 74, No. 4.

BibTeX

@article{821d6c4d35064fc6bb3b4cf8a3adb596,
title = "Multilevel interference of a neutron wave",
abstract = "We present an analytical and numerical analysis of neutron multilevel interference phenomena generated when a neutron passes through a series of N resonant coils operated at the successive conditions (ω0 +nΔω) =2 μn (B0 +nΔB) with n=0,1,...,N-1. Each coil produces spin flip with probability ρ between 0 and 1; thus the number of waves for the neutron is doubled after each coil, finally giving 2N interfering neutron waves. The phase difference between any pair is a multiple of a time dependent {"}phase quantum{"} ΔΦ (t). The analysis predicts for each number N a highly regular pattern for the quantum mechanical probability to find the neutron spin in one specific state as a function of ρ and ΔΦ. These patterns evolve in time and show revivals after a time T determined by the step Δω according to T=2π/Δω. For some adjustments of the system an analytical solution is obtained. Application of multilevel interference in high-resolution neutron modulated-intensity-by-zero-effort-type spectrometers is discussed.",
author = "Grigoriev, {S. V.} and Chetverikov, {Yu O.} and Metelev, {S. V.} and Kraan, {W. H.}",
year = "2006",
doi = "10.1103/PhysRevA.74.043605",
language = "English",
volume = "74",
journal = "Physical Review A - Atomic, Molecular, and Optical Physics",
issn = "1050-2947",
publisher = "American Physical Society",
number = "4",

}

RIS

TY - JOUR

T1 - Multilevel interference of a neutron wave

AU - Grigoriev, S. V.

AU - Chetverikov, Yu O.

AU - Metelev, S. V.

AU - Kraan, W. H.

PY - 2006

Y1 - 2006

N2 - We present an analytical and numerical analysis of neutron multilevel interference phenomena generated when a neutron passes through a series of N resonant coils operated at the successive conditions (ω0 +nΔω) =2 μn (B0 +nΔB) with n=0,1,...,N-1. Each coil produces spin flip with probability ρ between 0 and 1; thus the number of waves for the neutron is doubled after each coil, finally giving 2N interfering neutron waves. The phase difference between any pair is a multiple of a time dependent "phase quantum" ΔΦ (t). The analysis predicts for each number N a highly regular pattern for the quantum mechanical probability to find the neutron spin in one specific state as a function of ρ and ΔΦ. These patterns evolve in time and show revivals after a time T determined by the step Δω according to T=2π/Δω. For some adjustments of the system an analytical solution is obtained. Application of multilevel interference in high-resolution neutron modulated-intensity-by-zero-effort-type spectrometers is discussed.

AB - We present an analytical and numerical analysis of neutron multilevel interference phenomena generated when a neutron passes through a series of N resonant coils operated at the successive conditions (ω0 +nΔω) =2 μn (B0 +nΔB) with n=0,1,...,N-1. Each coil produces spin flip with probability ρ between 0 and 1; thus the number of waves for the neutron is doubled after each coil, finally giving 2N interfering neutron waves. The phase difference between any pair is a multiple of a time dependent "phase quantum" ΔΦ (t). The analysis predicts for each number N a highly regular pattern for the quantum mechanical probability to find the neutron spin in one specific state as a function of ρ and ΔΦ. These patterns evolve in time and show revivals after a time T determined by the step Δω according to T=2π/Δω. For some adjustments of the system an analytical solution is obtained. Application of multilevel interference in high-resolution neutron modulated-intensity-by-zero-effort-type spectrometers is discussed.

UR - http://www.scopus.com/inward/record.url?scp=33749473613&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.74.043605

DO - 10.1103/PhysRevA.74.043605

M3 - Article

AN - SCOPUS:33749473613

VL - 74

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

SN - 1050-2947

IS - 4

M1 - 043605

ER -

ID: 86431533