  We evaluate the entanglement entropy of strips for boosted D3-black-branes
compactified along the lightcone coordinate. The bulk theory describes
$3$-dimensional $a = 3$ ${\theta} = 1$, Lifshitz theory on the boundary. The
area of small strips is evaluated perturbatively up to second order, where the
leading term has a logarithmic dependence on strip width l, whereas entropy of
the excitations is found to be proportional to $l^4$. The entanglement
temperature falls off as $\frac{1}{l^3}$ on expected lines. The size of the
subsystem has to be bigger than the typical Lifshitz scale in the theory. At
second order, the redefinition of temperature(or strip width) is required so as
to meaningfully describe the entropy corrections in the form of the first law
of entanglement thermodynamics.
