Correlations of Observables in Chaotic States of Macroscopic Quantum Systems

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  • Sugita Ayumu
    Department of Applied Physics, Osaka City University
  • Shimizu Akira
    Department of Basic Science, University of Tokyo PRESTO, Japan Science and Technology Corporation

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Abstract

We study correlations of observables in energy eigenstates of chaotic systems of a large size N. We show that the bipartite entanglement of two subsystems is quite strong, whereas macroscopic entanglement of the total system is absent. It is also found that correlations, either quantum or classical, among fewer than N⁄2 points are quite small. These results imply that chaotic states are stable. Invariance of these properties under local operations is also shown.

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