Operator space entanglement entropy in transverse Ising chain

Details Operator space entanglement entropy in transverse Ising chain Operator space entanglement entropy in transverse Ising chain

2007-06-17

arxiv.org/abs/0706.2480v3

Phys. Rev. A 76, 032316 (2007)

Physics

Quantum Physics

5 pages, 2 figures (2 eps), RevTex, accepted to PRA

Scientific paper

10.1103/PhysRevA.76.032316

The efficiency of time dependent density matrix renormalization group methods is intrinsically connected with the rate of entanglement growth. We introduce a new measure of entanglement in the space of operators and show, for transverse Ising spin 1/2 chain, that the simulation of observables, contrary to simulation of typical pure quantum states, is efficient for initial local operators. For initial operators with a finite index in Majorana representation, the operator space entanglement entropy saturates with time to a level which is calculated analytically, while for initial operators with infinite index the growth of operator space entanglement entropy is shown to be logarithmic.

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