Full counting statistics in a propagating quantum front and random matrix spectra

Viktor Eisler, Z. Rácz

Research output: Contribution to journalArticle

63 Citations (Scopus)

Abstract

One-dimensional free fermions are studied with emphasis on propagating fronts emerging from a step initial condition. The probability distribution of the number of particles at the edge of the front is determined exactly. It is found that the full counting statistics coincide with the eigenvalue statistics of the edge spectrum of matrices from the Gaussian unitary ensemble. The correspondence established between the random matrix eigenvalues and the particle positions yields the order statistics of the rightmost particles in the front and, furthermore, it implies their subdiffusive spreading.

Original languageEnglish
Article number060602
JournalPhysical Review Letters
Volume110
Issue number6
DOIs
Publication statusPublished - Feb 5 2013

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counting
statistics
eigenvalues
emerging
fermions
matrices

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Full counting statistics in a propagating quantum front and random matrix spectra. / Eisler, Viktor; Rácz, Z.

In: Physical Review Letters, Vol. 110, No. 6, 060602, 05.02.2013.

Research output: Contribution to journalArticle

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