Characterizing dynamical behaviors in topological open systems with boundary dissipations

• URL: http://arxiv.org/abs/2503.00363v2
• Date: Wed, 05 Mar 2025 12:51:34 GMT
• Title: Characterizing dynamical behaviors in topological open systems with boundary dissipations
• Authors: Zhen-Yu Zheng, Xueliang Wang, Shu Chen,
• Abstract summary: We investigate the dynamics of the Su-Schrieffer-Heeger model with boundary dissipations described by Lindblad master equations.<n>By examining the long-time damping dynamics, we uncover a dynamical duality phenomenon between the weak and strong dissipation region.<n>Within the topologically non-trivial region, we identify the existence of boundary-localized dark states in the thermodynamical limit.
• Score: 5.140857534261145
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate the dynamics of the Su-Schrieffer-Heeger model with boundary dissipations described by Lindblad master equations and unravel distinct dynamical features in the topologically different phases of the underlying Hamiltonian. By examining the long-time damping dynamics, we uncover a dynamical duality phenomenon between the weak and strong dissipation region, which exists only in the topologically non-trivial phase, linked to the structure of the Liouvillian spectra,particularly the stripe closest to the steady state. When dissipation is confined to a single boundary, the dynamical duality phenomenon still exists. Under this condition, the Liouvillian gap fulfills an exponential size scaling relation in the topologically non-trivial phase and a power-law size scaling relation in the topologically trivial phase. Within the topologically non-trivial region, we identify the existence of boundary-localized dark states in the thermodynamical limit, which is responsible for the exponential size decay of Liouvillian gap.

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