Beyond the non-Hermitian skin effect: scaling-controlled topology from Exceptional-Bound Bands

• URL: http://arxiv.org/abs/2510.06338v1
• Date: Tue, 07 Oct 2025 18:02:44 GMT
• Title: Beyond the non-Hermitian skin effect: scaling-controlled topology from Exceptional-Bound Bands
• Authors: Mengjie Yang, Ching Hua Lee,
• Abstract summary: We establish a novel mechanism for topological transitions in non-Hermitian systems controlled by the system size.<n>Our approach can be generically applied to design scaling-dependent bands in multi-dimensional lattices, gapped or gapless.<n>It can be experimentally demonstrated in any non-Hermitian platform with versatile couplings or multi-orbital unit cells.
• Score: 8.574701040721227
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We establish a novel mechanism for topological transitions in non-Hermitian systems that are controlled by the system size. Based on a new paradigm known as exceptional-bound (EB) band engineering, its mechanism hinges on the unique critical scaling behavior near an exceptional point, totally unrelated to the well-known non-Hermitian skin effect. Through a series of ansatz models, we analytically derive and numerically demonstrate how topological transitions depend on the system size with increasingly sophisticated topological phase boundaries. Our approach can be generically applied to design scaling-dependent bands in multi-dimensional lattices, gapped or gapless, challenging established critical and entanglement behavior. It can be experimentally demonstrated in any non-Hermitian platform with versatile couplings or multi-orbital unit cells, such as photonic crystals, as well as classical and quantum circuits. The identification of this new EB band mechanism provides new design principles for engineering band structures through scaling-dependent phenomena unique to non-Hermitian systems.

Related papers

• Observation of non-Hermitian topology in cold Rydberg quantum gases [42.41909362660157]
  We experimentally demonstrate non-Hermitian spectra topology in a dissipative Rydberg atomic gas.<n>By increasing the interaction strength, the system evolves from Hermitian to non-Hermitian regime.<n>This work establishes cold Rydberg gases as a versatile platform for exploring the rich interplay between non-Hermitian topology, strong interactions, and dissipative quantum dynamics.
  arXiv  Detail & Related papers  (2025-09-30T13:44:43Z)
• Floquet Non-Bloch Formalism for a Non-Hermitian Ladder: From Theoretical Framework to Topolectrical Circuits [0.0]
  Periodically driven systems intertwined with non-Hermiticity opens a rich arena for topological phases that transcend conventional Hermitian limits.<n>We analytically derive an effective Floquet Hamiltonian and formulate the generalized Brillouin zone for a periodically driven quasi-one-dimensional system.<n>Our study demonstrates that the skin effect remains robust across a broad range of driving parameters, and is notably amplified in the low-frequency regime.
  arXiv  Detail & Related papers  (2025-07-31T17:31:02Z)
• Non-Hermitian topology and skin modes in the continuum via parametric processes [44.99833362998488]
  We show that Hermitian, nonlocal parametric pairing processes can induce non-Hermitian topology and skin modes.<n>Our model, stabilized by local dissipation, reveals exceptional points that spawn a tilted diabolical line in the dispersion.
  arXiv  Detail & Related papers  (2025-05-05T16:38:20Z)
• Interacting non-Hermitian edge and cluster bursts on a digital quantum processor [1.8967538025776645]
  A lossy quantum system harboring the non-Hermitian skin effect can exhibit anomalously high loss at the boundaries of the system compared to the bulk.<n>We uncover interacting many-body extensions of the edge burst that are spatially extended and patterned.<n>Our study paves the way for digital quantum processors to be harnessed as a versatile platform for non-Hermitian condensed-matter physics.
  arXiv  Detail & Related papers  (2025-03-18T18:00:52Z)
• Nonlinearity-driven Topology via Spontaneous Symmetry Breaking [79.16635054977068]
  We consider a chain of parametrically-driven quantum resonators coupled only via weak nearest-neighbour cross-Kerr interaction.<n>Topology is dictated by the structure of the Kerr nonlinearity, yielding a non-trivial bulk-boundary correspondence.
  arXiv  Detail & Related papers  (2025-03-15T00:20:45Z)
• Enantiosensitive positions of exceptional points in open chiral systems [39.58317527488534]
  We show that exceptional points can be enantiosenstive, enabling a new type of control over topological and chiral properties of non-Hermitian open chiral systems.<n>Our results combine high enantiosensitivity with topological robustness in chiral discrimination and separation, paving the way for new approaches in the control of non-Hermitian and chiral phenomena.
  arXiv  Detail & Related papers  (2025-02-26T09:20:08Z)
• Measuring Non-Hermitian Topological Invariants Directly from Quench Dynamics [6.33906375869588]
  Non-Hermitian (NH) topological phases and phenomena have been observed across various quantum systems.<n>We present a generic and unified framework for the direct measurement of various NH topological invariants in odd-dimensional systems.<n>This work paves the way for the direct measurement of NH topological invariants in quantum systems.
  arXiv  Detail & Related papers  (2024-10-17T05:48:45Z)
• Non-Hermitian entanglement dip from scaling-induced exceptional criticality [4.611701889151609]
  We report a new class of non-Hermitian critical transitions that exhibit dramatic divergent dips in their entanglement entropy scaling.<n>Dubbed scaling-induced exceptional criticality (SIEC), it transcends existing non-Hermitian mechanisms such as exceptional bound states and non-Hermitian skin effect (NHSE)-induced gap closures.
  arXiv  Detail & Related papers  (2024-08-05T18:00:06Z)
• Exceptional points in SSH-like models with hopping amplitude gradient [41.94295877935867]
  Recent interest in exceptional points has led to re-examination of non-Hermitian generalizations of many physical models. In such non-Hermitian systems, singular points called exceptional points (EPs) appear that are of interest for applications in super-resolution sensing systems and topological lasers. It is found that while the existence of the EPs is due to the nonreciprocal couplings, the number, position, and order of the EPs can all be altered by the addition of the hopping amplitude gradient.
  arXiv  Detail & Related papers  (2024-08-01T19:09:59Z)
• Quantum anomalous Hall phase in synthetic bilayers via twistless twistronics [58.720142291102135]
  We propose quantum simulators of "twistronic-like" physics based on ultracold atoms and syntheticdimensions. We show that our system exhibits topologicalband structures under appropriate conditions.
  arXiv  Detail & Related papers  (2020-08-06T19:58:05Z)
• Critical non-Hermitian Skin Effect [2.6109033135086777]
  This work uncovers a new class of criticality where eigenenergies and eigenstates of non-Hermitian lattice systems jump discontinuously across a critical point in the thermodynamic limit. We present stimulating examples with anomalous scaling behavior regarding spectrum, correlation functions, entanglement entropy, and scale-free wavefunctions that decay exponentially rather than power-law.
  arXiv  Detail & Related papers  (2020-03-06T05:48:46Z)
• Probing chiral edge dynamics and bulk topology of a synthetic Hall system [52.77024349608834]
  Quantum Hall systems are characterized by the quantization of the Hall conductance -- a bulk property rooted in the topological structure of the underlying quantum states. Here, we realize a quantum Hall system using ultracold dysprosium atoms, in a two-dimensional geometry formed by one spatial dimension. We demonstrate that the large number of magnetic sublevels leads to distinct bulk and edge behaviors.
  arXiv  Detail & Related papers  (2020-01-06T16:59:08Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.