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

Entanglement entropy at higher orders for the states of a = 3 {\theta} = 1 Lifshitz theory