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 (44)
- SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
- Non-Abelian Anyons and Topological Quantum Computation
- Anyons in an exactly solved model and beyond
- Unpaired Majorana fermions in quantum wires
- The one-dimensional Bose-Hubbard Model with nearest-neighbor interaction
- Floquet approach to lattice gauge theories with ultracold atoms in optical lattices
- Realization of density-dependent Peierls phases to engineer quantized gauge fields coupled to ultracold matter
- Statistically induced Phase Transitions and Anyons in 1D Optical Lattices
- Exact solution of double-delta function Bose gas through interacting anyon gas
- Topological edge states in the one-dimensional super-lattice Bose-Hubbard model
- Chiral Flat Bands: Existence, Engineering and Stability
- Topological phases: Classification of topological insulators and superconductors of non-interacting Fermions, and beyond
- Observation of density-dependent gauge fields in a Bose-Einstein condensate based on micromotion control in a shaken two-dimensional lattice
- Generalized Elitzur's Theorem and Dimensional Reduction
- The Anyon Hubbard Model in One-Dimensional Optical Lattices
- Density-Dependent Synthetic Gauge Fields Using Periodically Modulated Interactions
- Floquet realization and signatures of one-dimensional anyons in an optical lattice
- Realizing a 1D topological gauge theory in an optically dressed BEC
- On the Hohenberg-Mermin-Wagner theorem and its limitations
- Quantum scars of bosons with correlated hopping
- Quantum simulation of correlated-hopping models with fermions in optical lattices
- Versatile tuning of Kerr soliton microcombs in crystalline microresonators
- Bethe Ansatz for 1D interacting anyons
- Engineering interactions and anyon statistics by multicolor lattice-depth modulations
- 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
- Encoding a one-dimensional topological gauge theory in a Raman-coupled Bose-Einstein condensate
- The Mott insulator phase of the one dimensional Bose-Hubbard model: a high order perturbative study
- Asymmetric Particle Transport and Light-Cone Dynamics Induced by Anyonic Statistics
- Anyonic Haldane insulator in one dimension
- Topological Exchange Statistics in One Dimension
- Second quantization of Leinaas-Myrheim anyons in one dimension and their relation to the Lieb-Liniger model
- Probing the exchange statistics of one-dimensional anyon models
- Strongly repulsive anyons in one dimension
- Symmetry Protected Dynamical Symmetry in the Generalized Hubbard Models
- Revisiting Flat bands and localization
- Characterizing the phase diagram of finite-size dipolar Bose-Hubbard systems
- Many-body localization of zero modes
- Revealing the spatial nature of sublattice symmetry
- Photon-mediated correlated hopping in a synthetic ladder
- Anyon optics with time-of-flight two-particle interference of double-well-trapped interacting ultracold atoms
- Coherence Properties of the Repulsive Anyon-Hubbard Dimer
- Beyond braid statistics: Constructing a lattice model for anyons with exchange statistics intrinsic to one dimension