Chirally-protected state manipulation by tuning one-dimensional statistics
arXiv:2412.01517 · doi:10.1103/kzf6-yx24
Abstract
Chiral symmetry is broken by typical interactions in lattice models, but the statistical interactions embodied in the anyon-Hubbard model are an exception. This is an example for a correlated hopping model where chiral symmetry protects a degenerate zero-energy subspace. Complementary to the traditional approach of anyon braiding in real space, we adiabatically evolve the statistical parameter and find non-trivial Berry phases and holonomies in this chiral subspace. The corresponding states possess stationary checkerboard patterns in their -particle densities which are preserved under adiabatic manipulation. We give an explicit protocol for how these chirally-protected zero-energy states can be prepared, observed, validated, and controlled.
12 pages, 9 figures
References in corpus (19)
- Non-Abelian Anyons and Topological Quantum Computation
- Chiral Flat Bands: Existence, Engineering and Stability
- Realizing a 1D topological gauge theory in an optically dressed BEC
- On the Hohenberg-Mermin-Wagner theorem and its limitations
- Versatile tuning of Kerr soliton microcombs in crystalline microresonators
- Bethe Ansatz for 1D interacting anyons
- Hilbert space fragmentation and slow dynamics in particle-conserving quantum East models
- Bosonic continuum theory of one-dimensional lattice anyons
- Area-law entangled eigenstates from nullspaces of local Hamiltonians
- The Mott insulator phase of the one dimensional Bose-Hubbard model: a high order perturbative study
- Encoding a one-dimensional topological gauge theory in a Raman-coupled Bose-Einstein condensate
- Anyonic Haldane insulator in one dimension
- Topological Exchange Statistics in One Dimension
- Symmetry Protected Dynamical Symmetry in the Generalized Hubbard Models
- Revisiting Flat bands and localization
- Revealing the spatial nature of sublattice symmetry
- Photon-mediated correlated hopping in a synthetic ladder
- Coherence Properties of the Repulsive Anyon-Hubbard Dimer
- Beyond braid statistics: Constructing a lattice model for anyons with exchange statistics intrinsic to one dimension