Papers
Topological sensing of superfluid rotation using non-Hermitian optical dimers
Aritra Ghosh, Nilamoni Daloi, M. Bhattacharya·Jan 8, 2026
We theoretically investigate a non-Hermitian optical dimer whose parameters are renormalized by dispersive and dissipative backaction from the coupling of the passive cavity with a ring-trapped Bose-Einstein condensate. The passive cavity is driven b...
In-plane ferromagnetism-driven topological nodal-point superconductivity with tilted Weyl cones
Maciej Bazarnik, Levente Rózsa, Ioannis Ioannidis +11 more·Jan 7, 2026
The potential application of topological superconductivity in quantum transport and quantum information has fueled an intense investigation of hybrid materials with emergent electronic properties, including magnet-superconductor heterostructures. Her...
Phases of the $q$-deformed $\mathrm{SU}(N)$ Yang-Mills theory at large $N$
Tomoya Hayata, Yoshimasa Hidaka, Hiromasa Watanabe·Jan 7, 2026
We investigate the $(2+1)$-dimensional $q$-deformed $\mathrm{SU}(N)_k$ Yang-Mills theory in the lattice Hamiltonian formalism, which is characterized by three parameters: the number of colors $N$, the coupling constant $g$, and the level $k$. By trea...
Topological Sensing in the Dynamics of Quantum Walks with Defects
Xiaowei Tong, Xingze Qiu, Xiang Zhan +4 more·Jan 7, 2026
Topological quantum sensing leverages unique topological features to suppress noise and improve the precision of parameter estimation, emerging as a promising tool in both fundamental research and practical application. In this Letter, we propose a s...
Scalar vacuum densities on Beltrami pseudosphere
T. A. Petrosyan·Jan 7, 2026
We investigate the combined effects of spatial curvature and topology on the properties of the vacuum state for a charged scalar field localized on the (2+1)-dimensional Beltrami pseudosphere, assuming that the field obeys quasiperiodicity condition ...
Time-Dependent Dunkl-Pauli Oscillator in the Presence of the Aharonov-Bohm Effect
Boubakeur Khantoul, Ahmed Tedjani·Jan 6, 2026
We present an exact, time-dependent solution for a two-dimensional Pauli oscillator deformed by Dunkl operators in the presence of an Aharonov--Bohm (AB) flux. By replacing conventional momenta with Dunkl momenta and allowing arbitrary time dependenc...
Higher-Dimensional Anyons via Higher Cohomotopy
Sadok Kallel, Hisham Sati, Urs Schreiber·Jan 6, 2026
We highlight that integer Heisenberg groups at level 2 underlie topological quantum phenomena: their group algebras coincide with the algebras of quantum observables of abelian anyons in fractional quantum Hall (FQH) systems on closed surfaces. Decad...
Entanglement signatures of quantum criticality in Floquet non-Hermitian topological systems
Siyuan Cheng, Rui Xie, Xiaosen Yang +2 more·Jan 6, 2026
The entanglement entropy can be an effective diagnostic tool for probing topological phase transitions. In one-dimensional single particle systems, the periodic driving generates a variety of topological phases and edge modes. In this work, we invest...
Stable boundary modes for fragile topology from spontaneous PT-symmetry breaking
Kang Yang, Fei Song, Piet W. Brouwer·Jan 6, 2026
Two-dimensional topological insulators protected by nonlocal symmetries or with fragile topology usually do not admit robust in-gap edge modes due to the incompatibility between the symmetry and the boundary. Here, we show that in a parity-time (PT) ...
Topological Obstructions for Quantum Adiabatic Algorithms: Evidence from MaxCut Instances
Prathamesh S. Joshi·Jan 5, 2026
Quantum adiabatic algorithms are commonly analyzed through local spectral properties of an interpolating Hamiltonian, most notably the minimum energy gap. While this perspective captures an important constraint on adiabatic runtimes, it does not full...
Topological States Enabled by Non-local Nonlinearity in Synthetic Dimensions
Chong-Xiao Chen, Zheng-Wei Zhou, Han Pu +1 more·Jan 5, 2026
The interplay between topology and nonlinearity represents a central challenge in modern physics. Here, we investigate this interplay by considering a synthetic Su-Schrieffer-Heeger lattice with all-to-all nonlocal interactions. We find that the dist...
Continuous Unitary Designs for Universally Robust Quantum Control
Xiaodong Yang, Jiaqing Leng, Jun Li·Jan 5, 2026
Unitary designs are unitary ensembles that emulate Haar-random unitary statistics. They provide a vital tool for studying quantum randomness and have found broad applications in quantum technologies. However, existing research has focused on discrete...
On the homogeneity of the quantum transition probability
Gerd Niestegge·Jan 5, 2026
In the years 1952 and 1965, H.-C. Wang and U. Hirzebruch showed that the two-point homogeneous compact spaces with convex metrics are isometric to the spheres, the real, complex, octonion projective spaces and the Moufang plane and as well to the set...
Demonstration of Discrete-Time Quantum Walks and Observation of Topological Edge States in a Superconducting Qutrit Chain
Kun Zhou, Jian-Wen Xu, Qi-Ping Su +12 more·Jan 5, 2026
Quantum walk serves as a versatile tool for universal quantum computing and algorithmic research. However, the implementation of discrete-time quantum walks (DTQWs) with superconducting circuits is still constrained by some limitations such as operat...
Non-Hermitian second-order topological insulator with point gap
Xue-Min Yang, Hao Lin, Jian Li +3 more·Jan 4, 2026
The zero-mode corner states in the gap of two-dimensional non-Hermitian Su-Schrieffer-Heeger model are robust to infinitesimal perturbations that preserve chiral symmetry. However, we demonstrate that this general belief is no longer valid in large-s...
Soliton Thouless pumping engineered by inter-site nonlinearities
Tao Jiang, Li-Chen Zhao·Jan 4, 2026
We study soliton Thouless pumping in an extended diagonal Aubry-André-Harper model with on-site nonlinearities and inter-site nonlinearities. We show that the inter-site nonlinearities can make solitons acquire anomalous transport distances far beyon...
Symmetry and Topology in the Non-Hermitian Kitaev chain
Ayush Raj, Soham Ray, Sai Satyam Samal·Jan 2, 2026
We investigate the non-Hermitian Kitaev chain with non-reciprocal hopping amplitudes and asymmetric superconducting pairing. We work out the symmetry structure of the model and show that particle-hole symmetry (PHS) is preserved throughout the entire...
Pseudo-Hermitian Magnon Dynamics
Jamal Berakdar, Xi-guang Wang·Jan 2, 2026
A defining quantity of a physical system is its energy which is represented by the Hamiltonian. In closed quantum mechanical or/and coherent wave-based systems the Hamiltonian is introduced as a Hermitian operator which ensures real energy spectrum a...
Non-Hermitian Band Topology and Edge States in Atomic Lattices
Wenxuan Xie, John C Schotland·Jan 1, 2026
We investigate the band structure and topological phases of one- and two-dimensional bipartite atomic lattices mediated by long-range dissipative radiative coupling. By deriving an effective non-Hermitian Hamiltonian for the single-excitation sector,...
Large-party limit of topological entanglement entropy in Chern-Simons theory
Simran Sain, Siddharth Dwivedi·Jan 1, 2026
We investigate the topological entanglement entropy of quantum states arising in the context of three-dimensional Chern-Simons theory with compact gauge group $G$ and Chern-Simons level $k$. We focus on the quantum states associated with the $T_{dm,d...