- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:15
Journal of Spectral Theory
J. Spectr. Theory
JST
1664-039X
1664-0403
Quantum theory
10.4171/JST
http://www.ems-ph.org/doi/10.4171/JST
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
6
2016
3
On anomalous Lieb–Robinson bounds for the Fibonacci XY chain
David
Damanik
Rice University, HOUSTON, UNITED STATES
Marius
Lemm
California Institute of Technology, PASADENA, UNITED STATES
Milivoje
Lukic
Rice University, HOUSTON, UNITED STATES
William
Yessen
Rice University, HOUSTON, UNITED STATES
Quantum dynamics, anomalous many-body transport, Jordan–Wigner transformation
We rigorously prove a new kind of anomalous (or sub-ballistic) Lieb–Robinson bound for the isotropic XY chain with Fibonacci external magnetic field at arbitrary coupling. It is anomalous in that the usual exponential decay in $|x|-v|t|$ is replaced by exponential decay in $|x|-v|t|^\alpha$ with $0
Quantum theory
Operator theory
Statistical mechanics, structure of matter
601
628
10.4171/JST/133
http://www.ems-ph.org/doi/10.4171/JST/133