Complexity of thermal states in quantum spin chains

Details Complexity of thermal states in quantum spin chains Complexity of thermal states in quantum spin chains

2008-05-27

arxiv.org/abs/0805.4149v2

Phys. Rev. A 78, 022103 (2008)

Physics

Quantum Physics

5 pages, 3 eps figures; v2. minor changes, sections added

Scientific paper

10.1103/PhysRevA.78.022103

We study quantum correlations and complexity of simulation, characterized by quantum mutual information and entanglement entropy in operator space respectively, for thermal states in critical, non-critical and quantum chaotic spin chains. A simple general relation between the two quantities is proposed. We show that in all cases mutual information and entanglement entropy saturate with the system size, whereas as a function of the inverse temperature, we find logarithmic divergences for critical cases and uniform bounds in non-critical cases. A simple efficient quasi-exact method for computation of arbitrary entropy related quantities in thermalized XY spin chains is proposed.

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