Quantum sine-Gordon dynamics in coupled spin chains
- URL: http://arxiv.org/abs/2203.09530v1
- Date: Thu, 17 Mar 2022 18:00:02 GMT
- Title: Quantum sine-Gordon dynamics in coupled spin chains
- Authors: Elisabeth Wybo, Michael Knap, Alvise Bastianello
- Abstract summary: The sine-Gordon field theory emerges as the low-energy description in a wealth of quantum many-body systems.
Recent efforts have been directed towards realizing quantum simulators of the model.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The sine-Gordon field theory emerges as the low-energy description in a
wealth of quantum many-body systems. Recent efforts have been directed towards
realizing quantum simulators of the model, by interfering two weakly coupled
one-dimensional cold atomic gases. The weak interactions within the atomic
clouds provide a sine-Gordon realization in the semiclassical regime.
Furthermore, the complex microscopic dynamics prevents a quantitative
understanding of the effective sine-Gordon validity realm. In this work, we
focus on a spin ladder realization and observe the emergent sine-Gordon
dynamics deep in the quantum regime. We use matrix-product state techniques to
numerically characterize the low-energy sector of the system and compare it
with the exact field theory predictions. From this comparison, we obtain
quantitative boundaries for the validity of the sine-Gordon description. We
provide encompassing evidence for the emergent field theory by probing its rich
spectrum and by observing the signatures of integrable dynamics in scattering
events.
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