PMID: 15244663Jul 13, 2004Paper

Dynamic scaling of fronts in the quantum XX chain

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
V HunyadiL Sasvári

Abstract

The dynamics of the transverse magnetization in the zero-temperature XX chain is studied with emphasis on fronts emerging from steplike initial magnetization profiles. The fronts move with fixed velocity and display a staircase like internal structure whose dynamic scaling is explored both analytically and numerically. The front region is found to spread with time subdiffusively with the height and the width of the staircase steps scaling as t(-1/3) and t(1/3), respectively. The areas under the steps are independent of time; thus the magnetization relaxes in quantized "steps" of spin flips.

References

Sep 15, 1988·Physical Review A: General Physics·L Gálfi, Z Rácz
Oct 6, 2000·Physical Review Letters·F Iglói, H Rieger
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·T AntalG M Schütz
Jan 7, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yoshiko Ogata

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Citations

Mar 5, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·T AntalA Rákos
Oct 8, 2015·Journal of Physics. Condensed Matter : an Institute of Physics Journal·V ZaunerT Nishino
Jan 20, 2018·Physical Review. E·Gabriele Perfetto, Andrea Gambassi
Jul 10, 2019·Physical Review Letters·Marko LjubotinaTomaž Prosen
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Dominique GobertGunter Schütz
Feb 2, 2013·Physical Review Letters·Eldad Bettelheim, Leonid Glazman
Feb 26, 2013·Physical Review Letters·Viktor Eisler, Zoltán Rácz
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jarrett Lancaster, Aditi Mitra

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