Von Neumann entropy and bipartite number fluctuation in quantum phase transitions

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초록

In order to characterize quantum phase transitions, we consider von Neumann entanglement entropy of bipartition systems. We propose a bipartition such as even-odd in a one-dimensional system or checkerboard in a two-dimensional case. The entanglement entropy successfully indicates the critical point in the spinless fermion system where the metal-insulator transition is known to exist. Furthermore, we calculate the bipartite number fluctuation which shows a shoulder near the transition.

키워드

GROUND-STATEULTRACOLD FERMIONSLATTICE SYSTEMSFOCK SPACEENTANGLEMENTDECOMPOSITION
제목
Von Neumann entropy and bipartite number fluctuation in quantum phase transitions
저자
Chung, Myung-HoonLandau, D. P.
DOI
10.1103/PhysRevB.83.113104
발행일
2011-03-25
유형
Article
저널명
Physical Review B - Condensed Matter and Materials Physics
83
11