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Typicality in random matrix product states · Around

2009

Typicality in random matrix product states

Garnerone, Silvano, de Oliveira, Thiago R., Zanardi, Paolo

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Recent results suggest that the use of ensembles in Statistical Mechanics may not be necessary for isolated systems, since typically the states of the Hilbert space would have properties similar to the ones of the ensemble.

Nevertheless, it is often argued that most of the states of the Hilbert space are non-physical and not good descriptions of realistic systems.
Therefore, to better understand the actual power of typicality it is important to ask if it is also a property of a set of physically relevant states.
Here we address this issue, studying if and how typicality emerges in the set of matrix product states.

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