Two-particle topological Thouless spin pump
- URL: http://arxiv.org/abs/2211.03338v1
- Date: Mon, 7 Nov 2022 07:00:29 GMT
- Title: Two-particle topological Thouless spin pump
- Authors: J. Mumford
- Abstract summary: We show that two particles interacting via spin exchange exhibit topological features found in one-dimensional single particle lattice models.
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.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- 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.
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