Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Configuration-Controlled Many-Body Localization and the Mobility
  Emulsion   We uncover a new non-ergodic phase, distinct from the many-body localized
(MBL) phase, in a disordered two-leg ladder of interacting hardcore bosons. The
dynamics of this emergent phase, which has no single-particle analog and exists
only for strong disorder and finite interaction, is determined by the many-body
configuration of the initial state. Remarkably, this phase features the
$\textit{coexistence}$ of localized and extended many-body states at fixed
energy density and thus does not exhibit a many-body mobility edge, nor does it
reduce to a model with a single-particle mobility edge in the noninteracting
limit. We show that eigenstates in this phase can be described in terms of
interacting emergent Ising spin degrees of freedom ("singlons") suspended in a
mixture with inert charge degrees of freedom ("doublons" and "holons"), and
thus dub it a $\textit{mobility emulsion}$ (ME). We argue that grouping
eigenstates by their doublon/holon density reveals a transition between
localized and extended states that is invisible as a function of energy
density. We further demonstrate that the dynamics of the system following a
quench may exhibit either thermalizing or localized behavior depending on the
doublon/holon density of the initial product state. Intriguingly, the
ergodicity of the ME is thus tuned by the initial state of the many-body
system. These results establish a new paradigm for using many-body
configurations as a tool to study and control the MBL transition. The ME phase
may be observable in suitably prepared cold atom optical lattices.

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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex