Papers
Pseudospectral phenomena and the origin of the non-Hermitian skin effect
J. Sirker·Mar 23, 2026
The non-Hermitian skin effect (NHSE), characterized by a macroscopic accumulation of eigenstates at the edge of a system with open boundaries, is often ascribed to a non-trivial point-gap topology of the Bloch Hamiltonian. We revisit this connection ...
A two-dimensional realization of the parity anomaly
Nehal Mittal, Tristan Villain, Mathis Demouchy +4 more·Mar 23, 2026
Quantum anomalies arise when symmetries of a classical theory cannot be preserved upon quantization, leading to unconventional topological responses. A prominent example is the parity anomaly of a single two-dimensional Dirac fermion, which enforces ...
Drinfeld Center as Quantum State Monodromy over Bloch Hamiltonians around Defects
Hisham Sati, Urs Schreiber·Mar 23, 2026
The Drinfeld center fusion category $\mathcal{Z}(\mathrm{Vec}_G)$ famously models anyons in certain lattice models. Here we demonstrate how its fusion rules may also describe topological order in fractional topological insulator materials, in the vic...
Neural Belief-Matching Decoding for Topological Quantum Error Correction Codes
Luca Menti, Francisco Lázaro·Mar 23, 2026
Quantum error correction (QEC) is critical for scalable fault-tolerant quantum computing. Topological codes, such as the toric code, offer hardware-efficient architectures but their Tanner graphs contain many girth-4 cycles that degrade the performan...
Topological Anderson Random Laser
Hang-Zheng Shen, Xian-Hao Wei, Xi-Wang Luo +1 more·Mar 22, 2026
Topological lasers and random lasers embody two contrasting strategies for disorder management in photonics: the former suppresses disorder via protected edge transport, while the latter exploits multiple scattering for feedback. Here, we theoretical...
Emergence of Unique Steady Edge States in Trapped Ultracold Atom Systems
Roland Cristopher F. Caballar·Mar 21, 2026
We show that, for a one - dimensional open quantum system of ultracold atoms trapped in an array of harmonic potentials that is weakly coupled to a background Bose - Einstein Condensate (BEC), a unique steady state emerges at either of the two edges ...
Topological Obstructions in Quantum Adiabatic Algorithms
Prathamesh S. Joshi, Emil Prodan·Mar 20, 2026
We point out that, when an optimization problem has more than one solution, the quantum adiabatic algorithms (QAA) encounter topological obstructions leading to adiabatic spectral flows where spectral branches unavoidably traverse the spectral gap ab...
Competing skin effect and quasiperiodic localization in the non-Hermitian Su-Schrieffer-Heeger chain: Reentrant delocalization, spectral topology destruction, and entanglement suppression
Souvik Ghosh·Mar 20, 2026
We investigate the interplay between the non-Hermitian skin effect and Aubry-André-Harper (AAH) quasiperiodic disorder in a one-dimensional Su-Schrieffer-Heeger (SSH) chain with nonreciprocal hopping. By exact diagonalization, transfer-matrix analysi...
Matrix Product States for Modulated Topological Phases: Crystalline Equivalence Principle and Lieb-Schultz-Mattis Constraints
Shang-Qiang Ning, Hiromi Ebisu, Ho Tat Lam·Mar 19, 2026
Modulated symmetries are internal symmetries that act in a spatially non-uniform manner. Consequently, when a modulated symmetry $G_{\text{int}}$ is combined with a spatial symmetry $G_{\text{sp}}$, the total symmetry group takes the form of a semidi...
Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond
Amogh Anakru, Sarvesh Srinivasan, Linhao Li +1 more·Mar 19, 2026
Matrix product states (MPS) provide a powerful framework for characterizing one-dimensional symmetry-protected topological (SPT) phases of matter and for formulating Lieb-Schultz-Mattis (LSM)-type constraints. Here we generalize the MPS formalism to ...
Distribution of fidelity zeros in two-band topological models
Siyan Lin, Zhen-Yu Zheng, Shu Chen·Mar 19, 2026
We investigate the distribution of fidelity zeros in two-band topological models by extending the phase transition driving parameter into the complex plane. Within the biorthogonal formulation, we unveil that fidelity zeros are related to momentum mo...
Anderson transition in disordered Hatano-Nelson systems
Silvio Barandun·Mar 18, 2026
We illuminate the fundamental mechanism responsible for the transition between the non-Hermitian skin effect and defect-induced Anderson localization in the bulk via the study of Lyapunov exponents. We obtain a proof that the change of the topologica...
Topological states and flat bands induced by bound states in the continuum in a ladder-shaped one-dimensional photonic crystal
Sofía Pinto, P. A. Orellana, Sergio Bravo·Mar 18, 2026
One-dimensional crystals serve as a versatile platform for engineering nontrivial states, which can be easily explored in transport configurations. In this work, we analyze the properties of a periodic structure composed of an H-shaped unit cell, whi...
Reconfigurable circuit for mode tunable topological quantum structured light
Pedro Ornelas, Tatjana Kleine, André G. de Oliveira +3 more·Mar 18, 2026
Structured light in the quantum regime has garnered considerable attention due to the opportunities it offers when mixing light's internal degrees of freedom, for high-dimensional and multi-dimensional quantum states of light. A popular example is to...
Imaginary Gauge Field and Non-Hermitian Topological Transition Emerging Through Attenuation-Gauge Duality in Conservative Systems
Haoran Nie, Chaoran Jiang, Xiangying Shen +1 more·Mar 18, 2026
Non-Hermitian physics traditionally relies on active gain--loss modulation or non-reciprocal couplings, which often introduce significant complexity, compromise stability, and offer very limited scalability in conservative systems. Here we propose an...
Luttinger's Theorem Violation and Green's Function Topological Invariants in a Fractional Chern Insulator
Anton A. Markov, Andrey M. Nikishin, Nigel R. Cooper +2 more·Mar 17, 2026
Luttinger's theorem constrains the particle density of interacting fermions through global properties of the single-particle Green's function, and its violation signals a breakdown of the identification between the quantized Hall response and the Gre...
The weakly interacting tenfold way
Lucas C. P. A. M. Müssnich, Renato Vasconcellos Vieira·Mar 17, 2026
The tenfold way is a classification scheme for the building blocks of free fermion systems. More precisely, it classifies the isomorphism classes of spaces of equivariant free Hamiltonians in irreducible fermion systems with symmetries. This classifi...
Emergent giant topological Hall effect in twisted Fe3GeTe2 metallic system
Hyuncheol Kim, Kai-Xuan Zhang, Yu-Hang Li +3 more·Mar 15, 2026
The topological Hall effect, driven by the exchange interaction between conduction electrons and topological magnetic textures such as skyrmions, is a powerful probe for investigating the topological properties of magnetic materials. Typically, this ...
Intrinsic Error Thresholds in Nearly Critical Toric Codes
Zack Weinstein, Samuel J. Garratt·Mar 14, 2026
We study the protection of information in nearly critical topological quantum codes, constructed by perturbing topological stabilizer codes towards continuous quantum phase transitions. Our focus is on the transverse-field toric code subjected to loc...
Finite-Time Braiding Dynamics within Topological Nanowire Qubits
Adrian D. Scheppe, Michael V. Pak·Mar 14, 2026
Topological Quantum Computing has largely evolved towards a paradigm of manipulating edge localized Majorana within $p$-wave topological superconducting nanowires. To bridge the gap between physical qubit systems and quantum algorithms, we perform a ...