Counting edge modes via dynamics of boundary spin impurities
arXiv:2111.11428 · doi:10.1103/PhysRevB.108.L140301
Abstract
We study dynamics of the one-dimensional Ising model in the presence of static symmetry-breaking boundary field via the two-time autocorrelation function of the boundary spin. We find that the correlations decay as a power law. We uncover a dynamical phase diagram where, upon tuning the strength of the boundary field, we observe distinct power laws that directly correspond to changes in the number of edge modes as the boundary and bulk magnetic field are varied. We suggest how the universal physics can be demonstrated in current experimental setups, such as Rydberg chains.
References in corpus (14)
- Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
- Observation of Fermi Polarons in a Tunable Fermi Liquid of Ultracold Atoms
- Controlling many-body dynamics with driven quantum scars in Rydberg atom arrays
- Entanglement and correlation functions following a local quench: a conformal field theory approach
- Observation of Time-Crystalline Eigenstate Order on a Quantum Processor
- The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
- Time dependent impurity in ultracold fermions: orthogonality catastrophe and beyond
- Quantum phases of Rydberg atoms on a kagome lattice
- Finite-range interacting Ising quantum magnets with Rydberg atoms in optical lattices - From Rydberg superatoms to crystallization
- Robustness of Majorana edge modes and topological order -- exact results for the symmetric interacting Kitaev chain with disorder
- Universal nonequilibrium signatures of Majorana zero modes in quench dynamics
- Local Quench, Majorana Zero Modes, and Disturbance Propagation in the Ising chain
- Universal scaling of a classical impurity in the quantum Ising chain
- Evolution of the magnetization after a local quench in the critical transverse-field Ising chain