Topological order in random interacting Ising-Majorana chains stabilized by many-body localization

Laflorencie, Nicolas; Lemarié, Gabriel; Macé, Nicolas

doi:10.48550/arxiv.2201.00556

Cited by 1 publication

(2 citation statements)

References 45 publications

(76 reference statements)

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“…In this paper, we are interested in the system H IC at infinite temperature. Phase diagram of that system has been obtained recently 32 , and there exist three phases in the phase diagram, i.e., paramagnetic MBL phase (PM-MBL) for δ < δ 1c , ergodic regime for δ 1c < δ < δ 2c , and MBL phase with a spin-glass/topological order (SG-MBL) for δ 2c < δ. Values of the criticality δ 1c , δ 2c depend on the strength of the coupling g, and δ 2c = −δ 1c ≡ δ c by duality.…”

Section: A Modelsmentioning

confidence: 99%

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Quantum information spreading in random spin chains with topological order

Orito,

Kuno,

Ichinose

2022

Preprint

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Quantum information spreading and scrambling in many-body systems attract interests these days. Tripartite mutual information (TMI) based on operator-based entanglement entropy (EE) is an efficient tool for measuring them. In this paper, we study random spin chains that exhibit phase transitions accompanying nontrivial change in topological properties. In their phase diagrams, there are two types of many-body localized (MBL) states and one thermalized regime intervening these two MBL states. Quench dynamics of the EE and TMI display interesting behaviors providing essential perspective concerning encoding of quantum information. In particular, one of the models is self-dual, but information spreading measured by the TMI does not respect this self-duality. We investigate this phenomenon from the viewpoint of spatial structure of the stabilizers. In general, we find that knowledge of phase diagram corresponding to qubit system is useful for understanding nature of quantum information spreading in that system. Connection between the present work and random circuit of projective measurements and also topological Majorana quantum memory is remarked.

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Section: A Modelsmentioning

confidence: 99%

“…One of our target spin models, random transverse field Ising model at infinite temperature, was extensively studied recently 32,33 . There, the global phase diagram, which includes two types of the MBL phases (paramagnetic MBL and SG-MBL phases), was obtained by numerical investigation.…”

Section: Introductionmentioning

confidence: 99%