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An invariant measure of chiral quantum transport.
- Source :
-
Journal of Physics A: Mathematical & Theoretical . 4/19/2024, Vol. 57 Issue 16, p1-11. 11p. - Publication Year :
- 2024
-
Abstract
- We study the invariant measure of the transport correlator for a chiral Hamiltonian and analyze its properties. The Jacobian of the invariant measure is a function of random phases. Then we distinguish the invariant measure before and after the phase integration. In the former case we found quantum diffusion of fermions and a uniform zero mode that is associated with particle conservation. After the phase integration the transport correlator reveals two types of evolution processes, namely classical diffusion and back-folded random walks. Which one dominates the other depends on the details of the underlying chiral Hamiltonian and may lead either to classical diffusion or to the suppression of diffusion. [ABSTRACT FROM AUTHOR]
- Subjects :
- *INVARIANT measures
*RANDOM walks
*CORRELATORS
*QUANTUM interference
*FERMIONS
Subjects
Details
- Language :
- English
- ISSN :
- 17518113
- Volume :
- 57
- Issue :
- 16
- Database :
- Academic Search Index
- Journal :
- Journal of Physics A: Mathematical & Theoretical
- Publication Type :
- Academic Journal
- Accession number :
- 176467255
- Full Text :
- https://doi.org/10.1088/1751-8121/ad38ef