Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Many-Body Topological and Skin States without Open Boundaries   Robust boundary states have been the focus of much recent research, both as
topologically protected states and as non-Hermitian skin states. In this work,
we show that many-body effects can also induce analogs of these robust states
in place of actual physical boundaries. Particle statistics or suitably
engineered interactions i.e. in ultracold atomic lattices can restrict the
accessible many-body Hilbert space, and introduce effective boundaries in a
spatially periodic higher-dimensional configuration space. We demonstrate the
emergence of topological chiral modes in a two-fermion hopping model without
open boundaries, with fermion pairs confined and asymmetrically propagated by
suitably chosen fluxes. Heterogeneous non-reciprocal hoppings across different
particle species can also result in robust particle clumping in a translation
invariant setting, reminiscent of skin mode accumulation at an open boundary.
But unlike fixed open boundaries, effective boundaries correspond to the
locations of impenetrable particles and are dynamic, giving rise to
fundamentally different many-body vs. single-body time evolution behavior.
Since non-reciprocal accumulation is agnostic to the dimensionality of
restricted Hilbert spaces, our many-body skin states generalize directly in the
thermodynamic limit. The many-body topological states, however, are
nontrivially dimension-dependent, and their detailed exploration will stimulate
further studies in higher dimensional topological invariants.

36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph