Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Space-Time Duality between Quantum Chaos and Non-Hermitian Boundary
  Effect   Quantum chaos in hermitian systems concerns the sensitivity of long-time
dynamical evolution to initial conditions. The skin effect discovered recently
in non-hermitian systems reveals the sensitivity to the spatial boundary
condition even deeply in bulk. In this letter, we show that these two seemingly
different phenomena can be unified through space-time duality. The intuition is
that the space-time duality maps unitary dynamics to non-unitary dynamics and
exchanges the temporal direction and spatial direction. Therefore, the
space-time duality can establish the connection between the sensitivity to the
initial condition in the temporal direction and the sensitivity to the boundary
condition in the spatial direction. Here we demonstrate this connection by
studying the space-time duality of the out-of-time-ordered commutator in a
concrete chaotic hermitian model. We show that the out-of-time-ordered
commutator is mapped to a special two-point correlator in a non-hermitian
system in the dual picture. For comparison, we show that this sensitivity
disappears when the non-hermiticity is removed in the dual picture.

30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ