Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays

• URL: http://arxiv.org/abs/2606.00877v1
• Date: Sat, 30 May 2026 20:22:08 GMT
• Title: Topological Edge States from Molecular Chirality: A General Framework for Dimerized Dipolar Arrays
• Abstract summary: We show that molecular handedness provides a natural and tunable route to SSH-like topology in an interacting one-dimensional setting.<n>We also show that the chirality-induced Dzyaloshinskii--Moriya interaction amplifies the effective hopping amplitudes.<n>These findings establish dimerized chiral molecular arrays as a controllable and chirality-addressable platform.
• Score: 0.9685837672183748
• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: We establish a general theoretical framework for realizing topological edge states in dimerized arrays of chiral dipolar molecules and demonstrate that molecular handedness provides a natural and tunable route to SSH-like topology in an interacting one-dimensional setting. Starting from an effective spin-$\tfrac{1}{2}$ model generated by Stark-dressed chiral molecules, we introduce bond dimerization and show that the chirality-induced Dzyaloshinskii--Moriya interaction amplifies the effective hopping amplitudes and enlarges the bulk topological gap relative to an achiral chain of equivalent dipole strength. Using self-consistent mean-field theory with periodic- and open-boundary calculations, we map out the trivial, critical, and topological regimes through bulk spectra, complex-plane winding, and boundary-localized probability densities. A central result is that the two in-gap boundary modes carry \emph{opposite molecular chirality}: the left edge state localizes on a left-handed molecule and the right edge state on a right-handed molecule, a stereochemical labeling with no analogue in conventional SSH implementations. The two-leg ladder extension supports a richer four-band bulk structure and a rung-split edge sector whose robustness is characterized by a continuous sweep of the interchain coupling. All results are expressed in dimensionless units of the reference hopping scale $t_0$, making the framework directly applicable to any dipolar molecular platform -- from bialkali polar molecules at MHz coupling scales to future arrays of ultracold chiral polyatomic species. These findings establish dimerized chiral molecular arrays as a controllable and chirality-addressable platform for quasi-one-dimensional topological quantum matter.

Related papers

• Symmetry-protected topology and deconfined solitons in a multi-link $\mathbb{Z}_2$ gauge theory [45.88028371034407]
  We study a $mathbbZ$ lattice gauge theory defined on a multi-graph with links that can be visualized as great circles of a spherical shell.<n>We show that this leads to state-dependent tunneling amplitudes underlying a phenomenon analogous to the Peierls instability.<n>By performining a detailed analysis based on matrix product states, we prove that charge deconfinement emerges as a consequence of charge-fractionalization.
  arXiv  Detail & Related papers  (2026-03-02T22:59:25Z)
• Quantum logic control and entanglement in hybrid atom-molecule arrays [2.462672164410753]
  We propose and analyze a scheme for quantum logic control and measurement-based state preparation in a hybrid platform of polar molecules and neutral atoms.<n>The proposed atom-molecule controlled-phase gate is based on resonant dipole-dipole exchange between a molecular rotational transition and an atomic Rydberg transition, rendering it three orders of magnitude faster than any direct molecule-molecule entangling gate.
  arXiv  Detail & Related papers  (2026-02-13T13:09:51Z)
• Emergence of a Luttinger Liquid Phase in an Array of Chiral Molecules [0.0]
  We propose a robust platform for simulating chiral quantum magnetism using linear arrays of trapped asymmetric top molecules.<n>By mapping the Stark-dressed rotational states onto an effective spin-$1/2$ subspace, we rigorously derive a generalized $XXZ$ Heisenberg Hamiltonian governing the underlying many-body dynamics.<n>Our results establish 1,2-propanediol arrays as a versatile quantum simulator, providing a direct microscopic link between molecular chirality and topological many-body phases.
  arXiv  Detail & Related papers  (2026-02-10T17:23:36Z)
• Bridging Microscopic Constructions and Continuum Topological Field Theory of Three-Dimensional Non-Abelian Topological Order [8.412392080422247]
  We study excitations, fusion, and shrinking in a non-Abelian topological order by studying the three-dimensional quantum double model.<n>We show that the lattice shrinking rules obey the fusion--shrinking consistency relations predicted by twisted $BF$ field theory.
  arXiv  Detail & Related papers  (2025-12-24T12:30:42Z)
• Formation of oriented polar molecules with a single shaped pulse [0.0]
  We explore the possibility of forming a oriented polar molecule directly from a pair of colliding atoms.<n>The processes are driven by a single time-dependent, linearly polarized control field.<n>We show that the optimized field is capable of enhancing the molecular orientation already induced by the photoassociation and vibrational stabilization.
  arXiv  Detail & Related papers  (2025-09-15T14:20:41Z)
• Topological crystals and soliton lattices in a Gross-Neveu model with Hilbert-space fragmentation [39.146761527401424]
  We explore the finite-density phase diagram of the single-flavour Gross-Neveu-Wilson (GNW) model.<n>We find a sequence of inhomogeneous ground states that arise through a real-space version of the mechanism of Hilbert-space fragmentation.
  arXiv  Detail & Related papers  (2025-06-23T14:19:35Z)
• Theory of itinerant collisional spin dynamics in nondegenerate molecular gases [0.0]
  We study the itinerant dynamics of ultracold but nondegenerate polar molecules with a spin-$1/2$ degree of freedom encoded into two of their electric field dressed rotational states.<n>We show that loss can be near completely suppressed in all collision channels via electric field confinement-induced collisional shielding.<n>This work establishes a bridge between the domains of ultracold molecular collisions and many-body spin physics.
  arXiv  Detail & Related papers  (2025-05-28T02:18:22Z)
• Constrained many-body phases in a $\mathbb{Z}_2$-Higgs lattice gauge theory [39.58317527488534]
  We study a one-dimensional $mathbbZ$ lattice gauge theory coupled to soft-core bosonic matter at unit filling.<n>Through a combination of analytical perturbative approaches, we uncover a rich phase diagram driven by gauge-field-mediated resonant pair hopping.<n>The presence of a bunching state with large number fluctuations motivates experimental realizations in hybrid boson-qubit quantum simulation platforms.
  arXiv  Detail & Related papers  (2025-03-05T19:00:07Z)
• Harnessing Chiral Spin States in Molecular Nanomagnets for Quantum Technologies [44.1973928137492]
  We show that chiral qubits naturally suppress always-on interactions that can not be switched off in weakly coupled qubits.<n>Our findings establish spin chirality engineering as a promising strategy for mitigating always-on interaction in entangling two chiral qubits in molecular quantum technologies.
  arXiv  Detail & Related papers  (2025-01-21T08:23:12Z)
• Individual assembly of two-species Rydberg molecules using optical tweezers [37.69303106863453]
  We present a new approach to investigating Rydberg molecules by demonstrating the formation and characterization of individual Rb$*$Cs Rydberg molecules using optical tweezers.
  arXiv  Detail & Related papers  (2024-12-19T14:21:16Z)
• Higher-order topological Peierls insulator in a two-dimensional atom-cavity system [58.720142291102135]
  We show how photon-mediated interactions give rise to a plaquette-ordered bond pattern in the atomic ground state. The pattern opens a non-trivial topological gap in 2D, resulting in a higher-order topological phase hosting corner states. Our work shows how atomic quantum simulators can be harnessed to investigate novel strongly-correlated topological phenomena.
  arXiv  Detail & Related papers  (2023-05-05T10:25:14Z)

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.