Damping transition in an open generalized Aubry-André-Harper model

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.

10 pages, 10 figures

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Cited by in corpus (11)

• Liouvillian Skin Effect in an Exactly Solvable Model
• Engineering Dissipative Quasicrystals
• Exponential size scaling of the Liouvillian gap in boundary-dissipated systems with Anderson localization
• Lindbladian dynamics with loss of quantum jumps
• Biorthogonal topological charge pumping in non-Hermitian systems
• Engineering imaginary stark ladder in a dissipative lattice: passive $\mathcal{P}\mathcal{T}$ symmetry, K symmetry and localized damping
• Multifractal-enriched mobility edges and emergent quantum phases in Rydberg atomic arrays
• Emergent multi-loop nested point gap in a non-Hermitian quasiperiodic lattice
• The global phase diagram of the cluster-XY spin chain with dissipation
• Phase transitions in non-Hermitian superlattices
• Topology and its detection in a dissipative Aharonov-Bohm chain