Entanglement convertibility by sweeping through the quantum phases of the alternating bonds XXZ chain.

Abstract:

:We study the entanglement structure and the topological edge states of the ground state of the spin-1/2 XXZ model with bond alternation. We employ parity-density matrix renormalization group with periodic boundary conditions. The finite-size scaling of Rényi entropies S2 and S∞ are used to construct the phase diagram of the system. The phase diagram displays three possible phases: Haldane type (an example of symmetry protected topological ordered phases), Classical Dimer and Néel phases, the latter bounded by two continuous quantum phase transitions. The entanglement and non-locality in the ground state are studied and quantified by the entanglement convertibility. We found that, at small spatial scales, the ground state is not convertible within the topological Haldane dimer phase. The phenomenology we observe can be described in terms of correlations between edge states. We found that the entanglement spectrum also exhibits a distinctive response in the topological phase: the effective rank of the reduced density matrix displays a specifically large "susceptibility" in the topological phase. These findings support the idea that although the topological order in the ground state cannot be detected by local inspection, the ground state response at local scale can tell the topological phases apart from the non-topological phases.

journal_name

Sci Rep

journal_title

Scientific reports

authors

Tzeng YC,Dai L,Chung MC,Amico L,Kwek LC

doi

10.1038/srep26453

subject

Has Abstract

pub_date

2016-05-24 00:00:00

pages

26453

issn

2045-2322

pii

srep26453

journal_volume

6

pub_type

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