Boundary Floquet Control of Bulk non-Hermitian Systems
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arXiv
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| Format: | Preprint |
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2026
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| author | Hu, Yu-Min Shi, Yu-Bo Li, Linhu Teza, Gianluca Lee, Ching Hua Moessner, Roderich Zhang, Shu Mu, Sen |
| author_facet | Hu, Yu-Min Shi, Yu-Bo Li, Linhu Teza, Gianluca Lee, Ching Hua Moessner, Roderich Zhang, Shu Mu, Sen |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_22396 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Boundary Floquet Control of Bulk non-Hermitian Systems Hu, Yu-Min Shi, Yu-Bo Li, Linhu Teza, Gianluca Lee, Ching Hua Moessner, Roderich Zhang, Shu Mu, Sen Quantum Physics Mesoscale and Nanoscale Physics Quantum Gases Optics 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. |
| title | Boundary Floquet Control of Bulk non-Hermitian Systems |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Quantum Gases Optics |
| url | https://arxiv.org/abs/2603.22396 |