Two-tag correlation functions in one-dimensional lattice gases

1991 ◽  
Vol 177 (1-3) ◽  
pp. 366-372 ◽  
Author(s):  
S.N. Majumdar ◽  
Mustansir Barma
Keyword(s):  
Correlation Functions ◽  
Lattice Gases ◽  
Dimensional Lattice ◽  
One Dimensional

Diffusion in concentrated lattice gases. III. Tracer diffusion on a one-dimensional lattice

1983 ◽  
Vol 28 (10) ◽  
pp. 5711-5723 ◽  
Author(s):  
Henk van Beijeren ◽  
K. W. Kehr ◽  
R. Kutner
Keyword(s):  
Tracer Diffusion ◽  
Lattice Gases ◽  
Dimensional Lattice ◽  
One Dimensional

scholarly journals Asymmetric butterfly velocities in 2-local Hamiltonians

2020 ◽  
Vol 9 (2) ◽  
Author(s):  
Yong-Liang Zhang ◽  
Vedika Khemani
Keyword(s):  
Correlation Functions ◽  
Quantum Systems ◽  
Information Propagation ◽  
Local Interactions ◽  
Dimensional Lattice ◽  
One Dimensional ◽  
Local Operators ◽  
Left And Right ◽  
Model Hamiltonians

The speed of information propagation is finite in quantum systems with local interactions. In many such systems, local operators spread ballistically in time and can be characterized by a ``butterfly velocity", which can be measured via out-of-time-ordered correlation functions. In general, the butterfly velocity can depend asymmetrically on the direction of information propagation. In this work, we construct a family of simple 2-local Hamiltonians for understanding the asymmetric hydrodynamics of operator spreading. Our models live on a one dimensional lattice and exhibit asymmetric butterfly velocities between the left and right spatial directions. This asymmetry is transparently understood in a free (non-interacting) limit of our model Hamiltonians, where the butterfly speed can be understood in terms of quasiparticle velocities.

Multi-site correlation functions in two-dimensional lattice gases

1996 ◽  
Vol 223 (1-2) ◽  
pp. 149-166 ◽  
Author(s):  
A. Danani ◽  
R. Ferrando ◽  
E. Scalas ◽  
M. Torri
Keyword(s):  
Correlation Functions ◽  
Lattice Gases ◽  
Two Dimensional ◽  
Dimensional Lattice
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