Survival of Classical and Quantum Particles in the Presence of Traps View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2014-03

AUTHORS

P. L. Krapivsky, J. M. Luck, K. Mallick

ABSTRACT

We present a detailed comparison of the motion of a classical and of a quantum particle in the presence of trapping sites, within the framework of continuous-time classical and quantum random walk. The main emphasis is on the qualitative differences in the temporal behavior of the survival probabilities of both kinds of particles. As a general rule, static traps are far less efficient to absorb quantum particles than classical ones. Several lattice geometries are successively considered: an infinite chain with a single trap, a finite ring with a single trap, a finite ring with several traps, and an infinite chain and a higher-dimensional lattice with a random distribution of traps with a given density. For the latter disordered systems, the classical and the quantum survival probabilities obey a stretched exponential asymptotic decay, albeit with different exponents. These results confirm earlier predictions, and the corresponding amplitudes are evaluated. In the one-dimensional geometry of the infinite chain, we obtain a full analytical prediction for the amplitude of the quantum problem, including its dependence on the trap density and strength. More... »

PAGES

1430-1460

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10955-014-0936-8

DOI

http://dx.doi.org/10.1007/s10955-014-0936-8

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1023318011


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