Topological adiabatic dynamics in classical mass-spring chains with clamps
arXiv:2210.00663 · doi:10.1016/j.physleta.2023.128621
Abstract
The path dependence of adiabatic evolution in classical harmonic chains with clamps is examined. It is shown that cutting and joining a chain may braid adiabatic normal mode frequencies. Accordingly, different adiabatic paths with the same endpoints may transport a normal mode to a different one, and an adiabatic cycle pumps action variables, i.e., the adiabatic invariants of integrable classical systems. Another adiabatic pump for artificial edge modes induced by clamps is shown as an application. Extensions to completely integrable systems and quantum systems are outlined.
arXiv commentImproved explanations, added references, and corrected typos; 6pages, 3 figures
References in corpus (23)
- Quantum Annealing in the Transverse Ising Model
- Topological States and Adiabatic Pumping in Quasicrystals
- Edge states and topological pumping in elastic lattices with periodically modulated coupling
- Off-Diagonal Geometric Phases
- Experimental Demonstration of Dynamic Topological Pumping Across Incommensurate Bilayered Acoustic Metamaterials
- Creating quantum many-body scars through topological pumping of a 1D dipolar gas
- Geometric Phase for Non-Hermitian Hamiltonians and Its Holonomy Interpretation
- Residual Energies after Slow Quantum Annealing
- On the topology of adiabatic passage
- Floquet Semimetal with Floquet-band Holonomy
- TOPOLOGY CHANGE AND QUANTUM PHYSICS
- Double Spiral Energy Surface in One-dimensional Quantum Mechanics of Generalized Pointlike Potentials
- Geometric Phases and Multiple Degeneracies in Harmonic Resonators
- Quasienergy anholonomy and its application to adiabatic quantum state manipulation
- Infinite Barriers and Symmetries for a Few Trapped Particles in One Dimension
- Geometric phases in adiabatic Floquet theory, abelian gerbes and Cheon's anholonomy
- Semiclassical Dynamics, Berry Curvature and Spiral Holonomy in Optical Quasicrystals
- Quantum holonomy in Lieb-Liniger model
- Exotic quantum holonomy in Hamiltonian systems
- A Unified View on Geometric Phases and Exceptional Points in Adiabatic Quantum Mechanics
- Bloch vector, disclination and exotic quantum holonomy
- Gauge invariants of eigenspace and eigenvalue anholonomies: Examples in hierarchical quantum circuits
- Quantum anholonomy with topology change