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Paper IPM / P / 8690  


Abstract:  
We have combined the idea of renormalization group and quantum
information theory. We have shown how the entanglement or
concurrence evolve as the size of the system being large, i.e.
the finite size scaling is obtained. Moreover, It introduces how the
renormalization group approach can be implemented to obtain the
quantum information properties of a many body system. We have
obtained the concurrence as a measure of entanglement, its
derivatives and their scaling behavior versus the size of system for
the one dimensional Ising model in transverse field. We have found
that the derivative of concurrence between two blocks each
containing half of the system size diverges at the critical point
with the exponent which is directly associated
with the divergence of the correlation length.
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