Study of localization properties under subsystem periodic driving

Abstract

Periodic driving provides a powerful route for controlling localization and engineering effective Hamiltonians in quantum systems. A localized one-dimensional Aubry-André chain can be driven into a fully delocalized phase when the entire system is driven below a critical frequency. Here, we ask whether such delocalization can be achieved by driving only a part of the system. We address this question using a two-leg ladder comprising an Aubry-André chain coupled to a periodically driven clean tight-binding chain. Exact numerical calculations show that, starting from a localized static ladder, subsystem driving below a critical frequency cannot achieve complete delocalization. Instead, a mixed phase emerges, with localized and delocalized states coexisting and the fraction of delocalized states varying nonmonotonically with the driving frequency. This behavior can be understood using local effective Hamiltonians. Although these effective Hamiltonians are derived analytically in the high-frequency regime, they can nevertheless predict the localization transition occurring in the moderate-frequency regime. In fact, by quantifying the emergent nonlocality of the Floquet Hamiltonian, we show that these effective Hamiltonians provide a valid description up to a crossover frequency that is lower than the critical frequency associated with the localization transition. Our results demonstrate an alternative route to Floquet engineering, in which the transport properties of a quantum lattice system can be modified by driving only a subsystem.

Sparse defect localization - A Periodic Empirical Operator Framework for Inverse Scattering and Structural Health Monitoring
Richard Wüest, Johannes Aichele, Jonas Mueller +1
HAL9 Oct 2026PreprintLicence not statedGeneral physicsHAL
Anderson localization in periodic elastic systems with random perturbations
Xin Feng, Peijun Li, Wei Wu
arXiv6 Oct 2026PreprintCC BY 4.0Full textAnalysis & PDEs Condensed matterarXiv
Guiding properties of a planar waveguide based on a three-periodic magnetophotonic crystal
Igor Glukhov, Ivan Panyaev, Dmitry Sannikov +2
Journal of Optical Technology25 Sep 2026Peer-reviewedCC BY-NC-ND 4.0Full text1 citedGeneral physicsHAL
Subsystem Spacetime Code
Esther Xiaozhen Fu, Aranya Chakraborty, Daniel Gottesman
arXiv29 Oct 2026PreprintarXiv licenceFull textQuantum physics & quantum informationarXiv
Exact subsystem dynamics in the deterministic Floquet-PXP model
Katja Klobas
arXiv28 Sep 2026PreprintarXiv licenceFull textMathematical physics Quantum physics & quantum informationarXiv

Cite

BibTeX RIS

BibTeX

@misc{goswami2026study,
  title = {{Study of localization properties under subsystem periodic driving}},
  author = {Arpita Goswami and Ranjan Modak and Shaon Sahoo},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.33189},
  eprint = {2610.33189},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.33189},
}

RIS

TY  - UNPB
TI  - Study of localization properties under subsystem periodic driving
AU  - Arpita Goswami
AU  - Ranjan Modak
AU  - Shaon Sahoo
PY  - 2026
DA  - 2026/10/23
PB  - arXiv
DO  - 10.48550/arxiv.2610.33189
UR  - https://arxiv.org/abs/2610.33189
AB  - Periodic driving provides a powerful route for controlling localization and engineering effective Hamiltonians in quantum systems. A localized one-dimensional Aubry-André chain can be driven into a fully delocalized phase when the entire system is driven below a critical frequency. Here, we ask whether such delocalization can be achieved by driving only a part of the system. We address this question using a two-leg ladder comprising an Aubry-André chain coupled to a periodically driven clean tight-binding chain. Exact numerical calculations show that, starting from a localized static ladder, subsystem driving below a critical frequency cannot achieve complete delocalization. Instead, a mixed phase emerges, with localized and delocalized states coexisting and the fraction of delocalized states varying nonmonotonically with the driving frequency. This behavior can be understood using local effective Hamiltonians. Although these effective Hamiltonians are derived analytically in the high-frequency regime, they can nevertheless predict the localization transition occurring in the moderate-frequency regime. In fact, by quantifying the emergent nonlocality of the Floquet Hamiltonian, we show that these effective Hamiltonians provide a valid description up to a crossover frequency that is lower than the critical frequency associated with the localization transition. Our results demonstrate an alternative route to Floquet engineering, in which the transport properties of a quantum lattice system can be modified by driving only a subsystem.
ER  -

Abstract

Related

Cite