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Energy current in a quantum chain
I have seen in (e.g. this paper) the definition of the energy current in a chain with $H = \sum_{j=1}^L h_j$
where $H_j$ has support on the $k$ sites $j,j+1,j+2,...,j+(k-1)$ as
$$J_j - J_{j+1} = i[H, ...
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