Out-of-time-order correlations in many-body localized and thermal phases - INSPIRE

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Out-of-time-order correlations in many-body localized and thermal phases

Xiao Chen
(
- Santa Barbara, KITP and
- Illinois U., Urbana
)
,
Tianci Zhou
(
- Illinois U., Urbana
)
,
David A. Huse
(
- Princeton, Inst. Advanced Study and
- Princeton U.
)
,
Eduardo Fradkin
(
- Illinois U., Urbana
)

Oct 1, 2016

11 pages

Published in:

Annalen Phys. 529 (2017) 7, 1600332

Published: Oct 1, 2016

e-Print:

1610.00220 [cond-mat.str-el]

DOI:

10.1002/andp.201600332

View in:

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Abstract: (WILEY)

We use the out-of-time-order (OTO) correlators to study the slow dynamics in the many-body localized (MBL) phase. We investigate OTO correlators in the effective (“l-bit”) model of the MBL phase, and show that their amplitudes after disorder averaging approach their long-time limits as power-laws of time. This power-law dynamics is due to dephasing caused by interactions between the localized operators that fall off exponentially with distance. The long-time limits of the OTO correlators are determined by the overlaps of the local operators with the conserved l-bits. We demonstrate numerically our results in the effective model and three other more “realistic” spin chain models. Furthermore, we extend our calculations to the thermal phase and find that for a time-independent Hamiltonian, the OTO correlators also appear to vanish as a power law at long time, perhaps due to coupling to conserved densities. In contrast, we find that in the thermal phase of a Floquet spin model with no conserved densities the OTO correlator decays exponentially at long times.

Note:

23 pages, 12 figures

References(52)

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