Out-of-Time-Order Correlation for Many-Body Localization - INSPIRE

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Out-of-Time-Order Correlation for Many-Body Localization

Ruihua Fan
(
- Tsinghua U., Beijing and
- Peking U., Beijing
)
,
Pengfei Zhang
(
- Tsinghua U., Beijing
)
,
Huitao Shen
(
- Tsinghua U., Beijing
)
,
Hui Zhai
(
- Tsinghua U., Beijing
)

2016

5 pages

Published in:

Sci.Bull. 62 (2017) 707-711

Published: May 30, 2017

e-Print:

1608.01914 [cond-mat.quant-gas]

DOI:

10.1016/j.scib.2017.04.011

View in:

ADS Abstract Service

reference search257 citations

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Abstract: (arXiv)

In this Letter we first compute the out-of-time-order correlators (OTOC) for both a phenomenological model and a random-field XXZ model in the many-body localized phase. We show that, in contrast to the exponential decay in a chaotic system, the OTOC decays in power law in a many-body localized system. We show that the OTOC can also be used to distinguish a many-body localized phase from an Anderson localized phase, while a normal correlator cannot. Furthermore, we prove an exact theorem that relates the growth of the second Renyi entanglement entropy in the quench dynamics to the decay of the OTOC in equilibrium. This theorem works for a generic quantum system. We discuss various implications of this theorem.

Note:

5 pages, 3 figures

Out-of-time-order correlation
Many-body localization
Rényi entropy

References(49)

Figures(0)

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