Mostafa Motamedifar, Somayyeh Nemati, Saeed Mahdavifar, Saber Farjami Shayesteh
We study fidelity and fidelity susceptibility by addition of entanglement of
entropy in the one-dimensional quantum compass model in a transverse magnetic
field numerically. The whole four recognized gapped regions in the ground state
phase diagram are in the range of our investigation. Power-law divergence at
criticality accompanied by finite size scaling indicates the field induced
quantum phase transitions are of second order as well as from the scaling
behavior of the extremum of fidelity susceptibility is shown the quantum
critical exponents are different in the various regions of phase diagram. We
further calculate a recently proposed quantum information theoretic measure,
von-Neumann entropy, and show that this measure provide appropriate signatures
of the quantum phase transitions (QPT)s occurring at the critical fields.
Von-Neumann entropy indicates a measure of entanglement between some-particle
block and the rest of the system. We show the value of entanglement between a
two-particle block with the rest of the system is more dependent on the power
of exchange couplings connecting the block with the rest of the system than the
power of exchange coupling between two particles in the block.
View original:
http://arxiv.org/abs/1201.6133
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