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Quantum adiabaticity in many-body systems and almost-orthogonality in complementary subspace
by Jyong-Hao Chen and Vadim Cheianov
Submission summary
| Authors (as registered SciPost users): | Jyong-Hao Chen |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202411_00033v1 (pdf) |
| Date submitted: | 2024-11-18 09:57 |
| Submitted by: | Chen, Jyong-Hao |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
We investigate why, in quantum many-body systems, the adiabatic fidelity and the overlap between the initial state and instantaneous ground states often yield nearly identical values. Our analysis suggests that this phenomenon results from an interplay between two intrinsic limits of many-body systems: the limit of small evolution parameters and the limit of large system sizes. In the former case, conventional perturbation theory provides a straightforward explanation. In the latter case, a key insight is that pairs of vectors in the Hilbert space orthogonal to the initial state tend to become nearly orthogonal as the system size increases. We illustrate these general findings with two representative models of driven many-body systems: the driven Rice-Mele model and the driven interacting Kitaev chain model.
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- Provide a novel and synergetic link between different research areas.
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- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block