The conditions for quantum violation of macroscopic realism

Details The conditions for quantum violation of macroscopic realism The conditions for quantum violation of macroscopic realism

2007-06-05

arxiv.org/abs/0706.0668v4

Phys. Rev. Lett. 101, 090403 (2008)

Physics

Quantum Physics

4 pages, 2 figures, revised version, journal reference added

Scientific paper

10.1103/PhysRevLett.101.090403

Why do we not experience a violation of macroscopic realism in every-day life? Normally, no violation can be seen either because of decoherence or the restriction of coarse-grained measurements, transforming the time evolution of any quantum state into a classical time evolution of a statistical mixture. We find the sufficient condition for these classical evolutions for spin systems under coarse-grained measurements. Then we demonstrate that there exist "non-classical" Hamiltonians whose time evolution cannot be understood classically, although at every instant of time the quantum spin state appears as a classical mixture. We suggest that such Hamiltonians are unlikely to be realized in nature because of their high computational complexity.

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