scholarly journals Entanglement entropy and its quench dynamics for pure states of the Sachdev-Ye-Kitaev model

2020 ◽  
Vol 2020 (6) ◽  
Author(s):  
Pengfei Zhang
Keyword(s):  
Entanglement Entropy ◽  
Kitaev Model ◽  
Pure States ◽  
Quench Dynamics

scholarly journals Information dynamics in a model with Hilbert space fragmentation

2021 ◽  
Vol 11 (4) ◽  
Author(s):  
Dominik Hahn ◽  
Paul A. McClarty ◽  
David J. Luitz
Keyword(s):  
Hilbert Space ◽  
Entanglement Entropy ◽  
Long Distance ◽  
Information Dynamics ◽  
Geometrically Frustrated ◽  
Equilibrium Dynamics ◽  
Maximum Value ◽  
Far From Equilibrium ◽  
Quench Dynamics ◽  
Frustrated Spin

The fully frustrated ladder – a quasi-1D geometrically frustrated spin one half Heisenberg model – is non-integrable with local conserved quantities on rungs of the ladder, inducing the local fragmentation of the Hilbert space into sectors composed of singlets and triplets on rungs. We explore the far-from-equilibrium dynamics of this model through the entanglement entropy and out-of-time-ordered correlators (OTOC). The post-quench dynamics of the entanglement entropy is highly anomalous as it shows clear non-damped revivals that emerge from short connected chunks of triplets. We find that the maximum value of the entropy follows from a picture where coherences between different fragments co-exist with perfect thermalization within each fragment. This means that the eigenstate thermalization hypothesis holds within all sufficiently large Hilbert space fragments. The OTOC shows short distance oscillations arising from short coupled fragments, which become decoherent at longer distances, and a sub-ballistic spreading and long distance exponential decay stemming from an emergent length scale tied to fragmentation.

scholarly journals Defect production and quench dynamics in the three-dimensional Kitaev model

2020 ◽  
Vol 102 (13) ◽  
Author(s):  
Subhajit Sarkar ◽  
Dibyendu Rana ◽  
Saptarshi Mandal
Keyword(s):  
Three Dimensional ◽  
Defect Production ◽  
Kitaev Model ◽  
Quench Dynamics

scholarly journals Fold bifurcation entangled surfaces for one-dimensional Kitaev lattice model

2021 ◽  
pp. 2150151
Author(s):  
Davood Momeni ◽  
Phongpichit Channuie
Keyword(s):  
Entanglement Entropy ◽  
One Dimensional ◽  
Dependent Part ◽  
Fold Bifurcation ◽  
Quantum Action ◽  
Kitaev Model ◽  
Gauge Gravity ◽  
Gravity Duality ◽  
Oscillatory Model ◽  
Equivalent Description

In this paper, we investigate a feasible holography with the Kitaev model using dilatonic gravity in AdS2. We propose a generic dual theory of gravity in the AdS2 and suggest that this bulk action is a suitable toy model in studying quantum mechanics in Kitaev model using gauge/gravity duality. This gives a possible equivalent description for the Kitaev model in the dual gravity bulk. Scalar and tensor perturbations are investigated in details. In the case of near AdS perturbation, we show that the geometry still “freezes” as is AdS, while the dilation perturbation decays at the AdS boundary safely. The time-dependent part of the perturbation is an oscillatory model. We discover that the dual gravity induces an effective and renormalizable quantum action. The entanglement entropy for bulk theory is computed using extremal surfaces. We prove that these surfaces have a fold bifurcation regime of criticality.

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