Eisler, Viktor and Rácz, Zoltán (2013) Full Counting Statistics in a Propagating Quantum Front and Random Matrix Spectra. PHYSICAL REVIEW LETTERS, 110 (6). pp. 1-5. ISSN 0031-9007
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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.
Item Type: | Article |
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Uncontrolled Keywords: | CHAIN ; FLUCTUATIONS ; SHOT-NOISE |
Subjects: | Q Science / természettudomány > QC Physics / fizika |
SWORD Depositor: | MTMT SWORD |
Depositing User: | MTMT SWORD |
Date Deposited: | 30 Apr 2014 13:27 |
Last Modified: | 30 Apr 2014 14:00 |
URI: | http://real.mtak.hu/id/eprint/11587 |
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