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arXiv:2503.14595 · Nature Communications

Interacting non-Hermitian edge and cluster bursts on a digital quantum processor

Jin Ming Koh, Wen‐Tan Xue, Tommy Tai, Dax Enshan Koh, Ching Hua Lee

Published Jul 28, 2026• 1 citation
arXivHTMLPDF

Abstract

Abstract Dissipation can drive striking dynamics in lossy quantum systems. Instead of a uniform decay, the system’s energy density can transiently surge toward its boundaries, a phenomenon known as the non-Hermitian edge burst. Thus far, this effect has only been observed in single-particle contexts. Extending it to an interacting, many-body setting is challenging as tunable interactions are difficult to realize in conventional platforms, and simulating non-Hermitian evolution is demanding on quantum processors. Here, we overcome these challenges by developing a digital quantum simulation approach that, for the first time in non-Hermitian simulation, composes a linear combination of unitaries scheme and product formulae. Our framework is efficient in classical preprocessing costs and circuit sizes, thus enabling the study of long-time behavior on large systems. By realizing an interacting quantum ladder model on a superconducting quantum processor, we uncover novel interaction-driven phenomena of spatially extended edge patterns and cluster bursts emerging deep within the bulk, which are unexpected departures from single-particle behavior. Our experiments reveal clear edge-burst signatures in systems of up to 64 unit cells and directly probe the closing of the dissipative gap, a necessary condition for the edge burst. Beyond establishing these generalized forms of edge burst phenomena, our study opens a pathway for digital quantum processors to be harnessed as a versatile platform for non-Hermitian physics.

DOI
10.1038/s41467-026-75904-x

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Abstract Dissipation can drive striking dynamics in lossy quantum systems. Instead of a uniform decay, the system’s energy density can transiently surge toward its boundaries, a phenomenon known as the non-Hermitian edge burst. Thus far, this effect has only been observed in single-particle contexts. Extending it to an interacting, many-body setting is challenging as tunable interactions are difficult to realize in conventional platforms, and simulating non-Hermitian evolution is demanding on quantum processors. Here, we overcome these challenges by developing a digital quantum simulation approach that, for the first time in non-Hermitian simulation, composes a linear combination of unitaries scheme and product formulae. Our framework is efficient in classical preprocessing costs and circuit sizes, thus enabling the study of long-time behavior on large systems. By realizing an interacting quantum ladder model on a superconducting quantum processor, we uncover novel interaction-driven phenomena of spatially extended edge patterns and cluster bursts emerging deep within the bulk, which are unexpected departures from single-particle behavior. Our experiments reveal clear edge-burst signatures in systems of up to 64 unit cells and directly probe the closing of the dissipative gap, a necessary condition for the edge burst. Beyond establishing these generalized forms of edge burst phenomena, our study opens a pathway for digital quantum processors to be harnessed as a versatile platform for non-Hermitian physics.
The interplay between the non-Hermitian skin effect and the imaginary gap of lossy lattices results in the edge burst, a boundary-induced dynamical phenomenon in which an exceptionally large portion of particle loss occurs at the edge. Here, we find that this intriguing non-Hermitian dynamical phenomenon can be exactly mapped into the steady-state density distribution of a corresponding open quantum system. Consequently, the bulk-edge scaling relation of loss probability in the edge burst maps to that of steady-state density. Furthermore, we introduce a many-body open-system model in which the two-body loss generates an interaction-induced non-Hermitian skin effect. Using the positive-PPP method, we demonstrate the validity of the scaling relation for steady-state correlators. These results provide a unique perspective on the interaction-induced many-body non-Hermitian skin effect. Our predictions are testable in state-of-the-art experimental platforms.
We unveil an unexpected non-Hermitian phenomenon, dubbed edge burst, in non-Hermitian quantum dynamics. Specifically, in a class of non-Hermitian quantum walk in periodic lattices with open boundary condition, an exceptionally large portion of loss occurs at the system boundary. The physical origin of this edge burst is found to be an interplay between two unique non-Hermitian phenomena: non-Hermitian skin effect and imaginary gap closing. Furthermore, we establish a universal bulk-edge scaling relation underlying the non-Hermitian edge burst. Our predictions are experimentally accessible in various non-Hermitian systems including quantum-optical and cold-atom platforms.
In quantum mechanics, the Hermitian Hamiltonian is generally used to describe the ideal closed quantum system, but in reality, the physical system is closely related to the environment, and the open quantum system coupled to the environment can be described by the equivalent non-Hermitian Hamiltonian to a certain extent. Among them, the dissipation intensity is closely related to the dynamic properties of non-Hermitian quantum systems. Therefore, it is of great practical significance to study how dissipation affects particle loss. In this paper, the dynamic law related to dissipation intensity in a one-dimensional non-Hermitian system under open boundary condition is studied, and it is found that dissipation can induce the recurrence of edge burst. After the time-dependent evolution of the particles in the one-dimensional non-Hermitian dissipative lattice system with open boundary condition, there is an edge burst in the system, that is, there is a large probability of particle loss at the edge, and the edge burst disappears after increasing the intracell hopping. It is found that if the dissipation intensity increases or decreases, the edge burst will reappear. This kind of reappearance is different from the original edge burst, which is mainly manifested in the loss probability distribution of particles from the edge distribution to the bulk distribution, which is due to the difference in probability of particle motion direction between the two cases. Under the re-induced edge burst, the particles move leftward and rightward from their initial positions, and rebound from the left after having reached the boundary, forming a more obvious loss probability at the edge and gradually decreasing to the body area. In the original edge burst, the particles only move to the left with a greater probability, and are ‘trapped’ at the edge to completely dissipated, forming a distribution with an independent loss peak at the edge. The movement to the left is due to the non-Hermitian skin effect. The deeper reason for different movement directions is related to parity-time symmetry. Under the parameter near the parity-time symmetry breaking point, the loss probability of the particle is of unilateral distribution, and the loss probability of the particle moving to both sides is of bilateral distribution when it is far away. This is the description of the dissipation-induced edge burst recurrence phenomenon and its characteristics. In addition, this paper also studies the influence of impurity barrier on the probability distribution of particle loss in non-Hermitian dynamics. The results show that placing a small barrier on the non-dissipative A-site can obviously hinder the particle motion, and when the barrier increases to a certain height, its influence on the particle motion tends to be unchanged. And the barrier at the dissipative B lattice has little effect on the dynamics.
Non-Hermitian quantum walks on lossy lattices with open boundaries can exhibit an anomalous peak of the loss probability at the boundary, known as the non-Hermitian edge burst (NHEB). This phenomenon has been attributed to the combined effect of the non-Hermitian skin effect (NHSE) and a gapless imaginary spectrum. Here we investigate a class of models in which the NHSE is induced by magnetic flux while the loss is spatially nonuniform. We show that the spatial distribution of loss plays a crucial role in determining the emergence and strength of the NHEB. Notably, even in the absence of the NHSE, a weak boundary accumulation of the loss probability persists. We term this effect a quasi-non-Hermitian edge burst (quasi-NHEB). By analyzing the dependence of the loss probability on the initial position, we further demonstrate that the quasi-NHEB obeys a bulk-edge scaling relation distinct from that of conventional NHEB. Our results show that spatially nonuniform loss alone can generate boundary-localized loss anomalies even without the NHSE, providing new insight into non-Hermitian boundary phenomena and a broader platform for their exploration and potential applications.
Non-Hermitian Hamiltonians are a fascinating class of many-body models that describe the effective dynamics of quantum systems interacting with the environment through particle, energy, or information exchange. Although their theoretical framework is well established, the controlled engineering of such Hamiltonians in the context of quantum simulations remains challenging, even more so when the non-Hermitian part describes a kkk-body interaction. Qudit quantum simulators offer a compelling framework to implement such models. We theoretically investigate the dynamics of a one-dimensional chain of qudits undergoing hybrid unitary-projective evolution, where suitably designed measurements constrain the dynamics to a Zeno subspace. As we illustrate for the case of qutrits, within the Zeno subspace the dynamics is governed by an effective non-Hermitian Hamiltonian for an ensemble of pseudo-spins 1/21/21/2, which can inherit non-Hermitian two-body interactions with the same connectivity as the full qutrit chain. We derive an analytical relation linking the monitored qutrits' evolution to a desired target non-Hermitian Hamiltonian and validate the effective description through numerical simulations of a representative model. Our scheme provides a constructive route for the realization of a large class of interacting non-Hermitian many-body Hamiltonians in experimentally relevant multilevel quantum platforms, including trapped ions and superconducting circuits.