Impurity-induced loss bursts from anomalous scale-free localization in a non-Hermitian dissipative lattice
- URL: http://arxiv.org/abs/2605.21034v1
- Date: Wed, 20 May 2026 11:11:15 GMT
- Title: Impurity-induced loss bursts from anomalous scale-free localization in a non-Hermitian dissipative lattice
- Abstract summary: We identify anomalous scale-free localization and the associated impurity-induced loss bursts in a non-Hermitian dissipative cross-stitch lattice.<n>By a local basis rotation, the model is mapped onto an effective non-Hermitian Su-Schrieffer-Heeger lattice.
- Score: 5.90161790971102
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We identify anomalous scale-free localization and the associated impurity-induced loss bursts in a non-Hermitian dissipative cross-stitch lattice. By a local basis rotation, the model is mapped onto an effective non-Hermitian Su-Schrieffer-Heeger lattice, where local impurities act as tunable effective boundaries. For the parameter choice considered here, tuning the impurity strength $η$ connects two effective open-boundary-condition-like limits, reached for $η\to0$ and $η\to\infty$, through generalized-boundary-condition regimes and the impurity-free periodic-boundary-condition point at $η=1$. For finite $η\notin\{0,1\}$, the spectral loops remain separated from the real-energy axis, while the eigenstates exhibit scale-free localization pinned by the impurity. Unlike conventional impurity-induced scale-free localization, the Lyapunov exponent depends explicitly on the eigenenergy, making the localization strength eigenstate dependent. We further show that this anomalous eigenmode structure produces an impurity-induced loss burst: the long-time integrated dissipation probability is strongly enhanced near an impurity-generated effective boundary even when the initial wave packet is far away. In the single-impurity case, the burst region consists of the impurity site and its adjacent effective-boundary site, and the effect occurs without imaginary-gap closing. For multiple impurities, local burst regions emerge around all impurities, while the dominant burst boundary is selected by the initial wave-packet position and the nonreciprocal drift direction. These results connect anomalous scale-free localization with controllable dissipation dynamics in non-Hermitian lattices.
Related papers
- Dissipation-tunable extended and localized steady states in a non-disordered lattice [5.437499298223565]
We show that suitably engineered dissipation can be used to select localized or extended states in a strictly non-disordered one-dimensional lattice.<n>Our results establish phase-selective bond dissipation as a route to controllable state preparation and transport manipulation.
arXiv Detail & Related papers (2026-08-20T06:38:25Z) - Single impurity-induced localization transitions in electronic systems [1.1031977553463412]
Anderson localization is a fundamental phenomenon in disordered quantum systems, where transport is suppressed by wave interference from extensive randomness.<n>We investigate impurity-induced localization phenomena in low-dimensional tight-binding systems by focusing on the properties of impurity-generated bound states.<n>Our results highlight how a local perturbation can induce nontrivial localization behavior at the level of individual eigenstates, without implying a global localization transition of the underlying electronic system.
arXiv Detail & Related papers (2026-03-02T06:09:36Z) - 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) - Dissolution of the non-Hermitian skin effect in one-dimensional lattices with linearly varying nonreciprocal hopping [2.7794804041261947]
We study the one-dimensional non-Hermitian lattices with linearly varying nonreciprocal hopping.
The non-Hermitian skin effect (NHSE) is found to be dissolved gradually as the strength of nonreciprocity increases.
arXiv Detail & Related papers (2024-01-18T03:01:40Z) - Robust extended states in Anderson model on partially disordered random
regular graphs [44.99833362998488]
It is shown that the mobility edge in the spectrum survives in a certain range of parameters $(d,beta)$ at infinitely large uniformly distributed disorder.
The duality in the localization properties between the sparse and extremely dense RRG has been found and understood.
arXiv Detail & Related papers (2023-09-11T18:00:00Z) - Entanglement and localization in long-range quadratic Lindbladians [49.1574468325115]
Signatures of localization have been observed in condensed matter and cold atomic systems.
We propose a model of one-dimensional chain of non-interacting, spinless fermions coupled to a local ensemble of baths.
We show that the steady state of the system undergoes a localization entanglement phase transition by tuning $p$ which remains stable in the presence of coherent hopping.
arXiv Detail & Related papers (2023-03-13T12:45:25Z) - Localization in the random XXZ quantum spin chain [55.2480439325792]
We study the many-body localization (MBL) properties of the Heisenberg XXZ spin-$frac12$ chain in a random magnetic field.
We prove that the system exhibits localization in any given energy interval at the bottom of the spectrum in a nontrivial region of the parameter space.
arXiv Detail & Related papers (2022-10-26T17:25:13Z) - Anomalously large relaxation times in dissipative lattice models beyond
the non-Hermitian skin effect [49.1574468325115]
We show for generic quantum non-Hermitian tight-binding models that relaxation of local observables are not controlled by the localization length.
interference between eigenvectors effectively makes the extreme localization of modes largely irrelevant to relaxation.
Our work highlights an important aspect of the non-Hermitian skin effect: the exceptional sensitivity to boundary conditions here necessarily takes a finite amount of time to manifest itself.
arXiv Detail & Related papers (2022-10-25T17:55:58Z) - Spectrum of localized states in fermionic chains with defect and
adiabatic charge pumping [68.8204255655161]
We study the localized states of a generic quadratic fermionic chain with finite-range couplings.
We analyze the robustness of the connection between bands against perturbations of the Hamiltonian.
arXiv Detail & Related papers (2021-07-20T18:44:06Z) - Exact solution of single impurity problem in non-reciprocal lattices:
impurity induced size-dependent non-Hermitian skin effect [1.9888283697653608]
We study the single impurity problem in the Hatano-Nelson model and the Su-Schreieffer-Heeger model.
From our exact solutions for finite-size systems, we unveil that increasing the impurity strength can lead to a transition of the bulk states from non-skin states to skin states.
arXiv Detail & Related papers (2021-06-07T08:37:24Z) - Thermalization of dilute impurities in one dimensional spin chains [0.0]
We analyze a crossover between ergodic and non-ergodic regimes in a spin chain with a dilute density of impurities.
We propose a mechanism for the delocalization of these impurities in the thermodynamic limit.
arXiv Detail & Related papers (2021-05-19T18:23:36Z) - Impurity induced scale-free localization [3.205614282399206]
This work develops a full framework for non-Hermitian impurity physics in a non-reciprocal lattice.
As the impurity strength is tuned, the localization of steady states can assume very rich behavior.
We propose specific circuit setups for experimental detection of the scale-free accumulation.
arXiv Detail & Related papers (2020-08-12T18:06:24Z)
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.