Damping transition in an open generalized Aubry-Andr\'e-Harper model
- URL: http://arxiv.org/abs/2109.12958v2
- Date: Fri, 18 Feb 2022 03:28:24 GMT
- Title: Damping transition in an open generalized Aubry-Andr\'e-Harper model
- Authors: Peng He, Yu-Guo Liu, Jian-Te Wang, and Shi-Liang Zhu
- Abstract summary: We study the damping dynamics of the single-particle correlation for an open system under periodic and aperiodic order.
Due to the non-Hermitian skin effect, the damping dynamics is boundary sensitive.
We propose a possible scheme with ultracold atoms in a dissipative momentum lattice to realize and detect the damping dynamics.
- Score: 0.9239657838690226
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We study the damping dynamics of the single-particle correlation for an open
system under periodic and aperiodic order, which is dominated by the Lindblad
master equation. In the absence of the aperiodic order, the Liouvillian
superoperator exhibits the non-Hermitian skin effect, which leads to
unidirectional damping dynamics, dubbed as "chiral damping". Due to the
non-Hermitian skin effect, the damping dynamics is boundary sensitive: The
long-time damping of such open systems is algebraic under periodic boundary
conditions but exponential under open boundary conditions. We reveal the phase
transition with the inclusion of the hopping amplitude modulation. By using the
spectral topology and a finite-size scaling analysis in the commensurate case,
we show there exists a phase transition of the skin effect with non-Bloch
anti-parity-time symmetry breaking. For the incommensurate case, we find richer
phases with the coexistence of the non-Hermitian skin effect and the Anderson
localization, which are separated by a generalized mobility edge. We reveal the
transition of the damping dynamics as a consequence of the phase transition.
Furthermore, we propose a possible scheme with ultracold atoms in a dissipative
momentum lattice to realize and detect the damping dynamics.
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