Related papers: Quantum adiabaticity in many-body systems and almost-orthogonality in complementary subspace

Quantum adiabaticity in many-body systems and almost-orthogonality in complementary subspace

URL: http://arxiv.org/abs/2208.02620v2
Date: Wed, 31 May 2023 16:02:59 GMT
Title: Quantum adiabaticity in many-body systems and almost-orthogonality in complementary subspace
Authors: Jyong-Hao Chen, Vadim Cheianov
Abstract summary: We study why in quantum many-body systems the adiabatic fidelity and the overlap between the initial state and instantaneous ground states have nearly the same values in many cases. We elaborate on how the problem may be explained by an interplay between the two intrinsic limits of many-body systems.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: We study why in quantum many-body systems the adiabatic fidelity and the overlap between the initial state and instantaneous ground states have nearly the same values in many cases. We elaborate on how the problem may be explained by an interplay between the two intrinsic limits of many-body systems: the limit of small values of evolution parameter and the limit of large system size. In the former case, conventional perturbation theory provides a natural explanation. In the latter case, a crucial observation is that pairs of vectors lying in the complementary Hilbert space of the initial state are almost orthogonal. Our general findings are illustrated with a driven Rice-Mele model and a driven interacting Kitaev chain model, two paradigmatic models of driven many-body systems.

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