首页|Lieb-Robinson bound in one-dimensional inhomogeneous quantum systems
Lieb-Robinson bound in one-dimensional inhomogeneous quantum systems
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NSTL
Elsevier
Lieb-Robinson bound (LRB) in one-dimensional noninteracting many-electron systems with the disordered and quasiperiodic on-site potentials is studied numerically. For the short-range hopping system, a logarithmic light cone (i.e. |x| = beta log t + x(0)) is found in the system with the disordered on-site potential for small time. The coefficient fi decreases with the increasing strength of disordered. When time is large, the bound does not change with time (i.e. |x| = C). For the generalized Fibonacci quasiperiodic (GFQ) system, the on-site potential is taken as V or -V according to two kinds of GFQ sequences. It is found that the system has a power-law light cone (i.e. |x| proportional to t(gamma), with 0 < gamma < 1). The exponent gamma decreases with the increasing V. We also find that gamma for the first class of GFQ system is larger than that for the second class of GFQ system with the same V. Finally, the effects of the long-range hopping which decays like r(-alpha) with the distance r on LRB are discussed.
NSTL
Elsevier
