Two-particle topological Thouless spin pump
arXiv:2211.03338 · doi:10.1103/PhysRevA.107.033302
Abstract
We show that two particles interacting via spin exchange exhibit topological features found in one-dimensional single particle lattice models. This is accomplished by absorbing all of the spatial degrees of freedom of the lattices into the spin degrees of freedom of the two particles. Comparing the spin system with the Su-Schrieffer-Heeger model, we show the existence of topologically protected edge spin states and establish the bulk-edge correspondence. Modifying the spin system with a chiral symmetry breaking term results in it resembling the Rice-Mele model and can therefore act as a Thouless spin pump of one of the particles when periodically and adiabatically driven. By using the spin states as a synthetic spatial dimension, we show two particles are enough to simulate well known topological properties in condensed matter physics.
8 pages, 5 figures
References in corpus (14)
- Many-Body Physics with Ultracold Gases
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
- Topological quantum matter in synthetic dimensions
- Topological characterizations of an extended Su-Schrieffer-Heeger model
- Spin pumping and measurement of spin currents in optical superlattices
- Correlated dynamics in a synthetic lattice of momentum states
- Coherent control of quantum topological states of light in Fock-state lattices
- Topological pumping of photons in nonlinear resonator arrays
- Semi-synthetic zigzag optical lattice for ultracold bosons
- Synthetic gauge field in two interacting ultracold atomic gases without an optical lattice
- Meissner effect in Fock space
- Topological Thouless pumping in arrays of coupled spin chains