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arXiv · 2603.22396

Boundary Floquet Control of Bulk non-Hermitian Systems

Yu-Min Hu·Yu-Bo Shi·Linhu Li·Gianluca Teza·Ching Hua Lee·Roderich Moessner·Shu Zhang·Sen Mu
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Abstract

Boundary perturbations are generally irrelevant for bulk properties in the thermodynamic limit, as they are edge-confined and subextensive. We show that this expectation breaks down in boundary-driven systems exhibiting the non-Hermitian skin effect, where arbitrarily weak boundary Floquet driving reconstructs bulk quasienergy spectra and dynamics. We develop a Floquet non-Bloch band theory that extends generalized Brillouin-zone methods to boundary-driven systems at arbitrary driving frequencies, overcoming the lack of a general framework beyond high-frequency approximations. With representative single- and two-band models, we demonstrate that the boundary driving frequency tunes non-Bloch parity-time symmetry breaking, while its amplitude acts as a finite-size control parameter. Our work establishes boundary Floquet control as a general route for manipulating bulk properties, opening a new avenue for dynamical engineering in driven open systems.

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Yu-Min Hu, Yu-Bo Shi, Linhu Li, Gianluca Teza, Ching Hua Lee, Roderich Moessner, Shu Zhang, Sen Mu. 2026-03-23. Boundary Floquet Control of Bulk non-Hermitian Systems. https://arxiv.org/abs/2603.22396

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