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Classification of phases for mixed states via fast dissipative evolution. (arXiv:1810.05092v1 [quant-ph])
来源于:arXiv
We propose the following definition of topological quantum phases valid for
mixed states: two states are in the same phase if there exists a time
independent, fast and local Lindbladian evolution driving one state into the
other. The underlying idea, motivated by Koenig and Pastawski in 2013, is that
it takes time to create new topological correlations, even with the use of
dissipation. We show that it is a good definition in the following sense: (1)
It divides the set of states into equivalent classes and it establishes a
partial order between those according to their level of "topological
complexity". (2) It provides a path between any two states belonging to the
same phase where observables behave smoothly. We then focus on pure states to
relate the new definition in this particular case with the usual definition for
quantum phases of closed systems in terms of the existence of a gapped path of
Hamiltonians connecting both states in the corresponding ground state path. We
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