# Entanglement dynamics in critical random quantum Ising chain with perturbations

## Abstract

We simulate the entanglement dynamics in a critical random quantum Ising chain with generic perturbations using the time-evolving block decimation algorithm. Starting from a product state, we observe super-logarithmic growth of entanglement entropy with time. The numerical result is consistent with the analytical prediction of Vosk and Altman using a real-space renormalization group technique. - Highlights: • We study the dynamical quantum phase transition between many-body localized phases. • We simulate the dynamics of a very long random spin chain with matrix product states. • We observe numerically super-logarithmic growth of entanglement entropy with time.

- Authors:

- Publication Date:

- OSTI Identifier:
- 22617506

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Annals of Physics; Journal Volume: 380; Other Information: Copyright (c) 2017 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ENTROPY; PERTURBATION THEORY; QUANTUM ENTANGLEMENT; RANDOMNESS; RENORMALIZATION

### Citation Formats

```
Huang, Yichen, E-mail: ychuang@caltech.edu.
```*Entanglement dynamics in critical random quantum Ising chain with perturbations*. United States: N. p., 2017.
Web. doi:10.1016/J.AOP.2017.02.018.

```
Huang, Yichen, E-mail: ychuang@caltech.edu.
```*Entanglement dynamics in critical random quantum Ising chain with perturbations*. United States. doi:10.1016/J.AOP.2017.02.018.

```
Huang, Yichen, E-mail: ychuang@caltech.edu. Mon .
"Entanglement dynamics in critical random quantum Ising chain with perturbations". United States.
doi:10.1016/J.AOP.2017.02.018.
```

```
@article{osti_22617506,
```

title = {Entanglement dynamics in critical random quantum Ising chain with perturbations},

author = {Huang, Yichen, E-mail: ychuang@caltech.edu},

abstractNote = {We simulate the entanglement dynamics in a critical random quantum Ising chain with generic perturbations using the time-evolving block decimation algorithm. Starting from a product state, we observe super-logarithmic growth of entanglement entropy with time. The numerical result is consistent with the analytical prediction of Vosk and Altman using a real-space renormalization group technique. - Highlights: • We study the dynamical quantum phase transition between many-body localized phases. • We simulate the dynamics of a very long random spin chain with matrix product states. • We observe numerically super-logarithmic growth of entanglement entropy with time.},

doi = {10.1016/J.AOP.2017.02.018},

journal = {Annals of Physics},

number = ,

volume = 380,

place = {United States},

year = {Mon May 15 00:00:00 EDT 2017},

month = {Mon May 15 00:00:00 EDT 2017}

}

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