Many-body localization dynamics from gauge invariance

Brenes, Marlon; Dalmonte, Marcello; Heyl, Markus; Scardicchio, Antonello

doi:10.1103/PhysRevLett.120.030601

Many-body localization dynamics from gauge invariance

Marlon Brenes
(
- ICTP, Trieste
)
,
Marcello Dalmonte
(
- ICTP, Trieste
)
,
Markus Heyl
(
- Dresden, Max Planck Inst.
)
,
Antonello Scardicchio
(
- ICTP, Trieste and
- INFN, Trieste
)

Jun 19, 2017

8 pages

Published in:

Phys.Rev.Lett. 120 (2018) 3, 030601

Published: Jan 20, 2018

e-Print:

1706.05878 [cond-mat.str-el]

DOI:

10.1103/PhysRevLett.120.030601

View in:

pdf

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Abstract: (APS)

We show how lattice gauge theories can display many-body localization dynamics in the absence of disorder. Our starting point is the observation that, for some generic translationally invariant states, the Gauss law effectively induces a dynamics which can be described as a disorder average over gauge superselection sectors. We carry out extensive exact simulations on the real-time dynamics of a lattice Schwinger model, describing the coupling between U(1) gauge fields and staggered fermions. Our results show how memory effects and slow, double-logarithmic entanglement growth are present in a broad regime of parameters—in particular, for sufficiently large interactions. These findings are immediately relevant to cold atoms and trapped ion experiments realizing dynamical gauge fields and suggest a new and universal link between confinement and entanglement dynamics in the many-body localized phase of lattice models.

Note:

5Pages + appendices; V2: updated discussion in page 2, more numerical results, added references

invariance: gauge
gauge field theory: U(1)
fermion: staggered
model: lattice
many-body problem
localization
entanglement
ion
lattice field theory
confinement

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