Enhancement of superconducting pairing via quantum Lyapunov control

Fuente: arXiv
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Main Authors: Povitchan, Oleksandr, Bondar, Denys I., Sotnikov, Andrii G.
Format: Preprint
Published: 2025
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author Povitchan, Oleksandr
Bondar, Denys I.
Sotnikov, Andrii G.
author_facet Povitchan, Oleksandr
Bondar, Denys I.
Sotnikov, Andrii G.
contents We demonstrate that quantum Lyapunov control provides an effective strategy for enhancing superconducting correlations in the Fermi-Hubbard model without requiring careful parameter tuning. While photoinduced superconductivity is sensitive to the frequency and amplitude of a monochromatic laser pulse, our approach employs a simple feedback-based protocol that prevents the decrease of superconducting correlations once they begin to form. This method enables robust enhancement of pairing across a broad range of initial pumping conditions, eliminating the need for intricate frequency and amplitude optimization. We also show that an alternative implementation, asymptotic quantum control, achieves comparable results. Furthermore, our approach can be adapted to suppress previously induced superconducting correlations, providing bidirectional control over quantum pairing states. These findings suggest practical pathways for manipulating quantum correlations in strongly interacting systems with minimal experimental complexity.
format Preprint
id arxiv_https___arxiv_org_abs_2503_20426
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Enhancement of superconducting pairing via quantum Lyapunov control
Povitchan, Oleksandr
Bondar, Denys I.
Sotnikov, Andrii G.
Quantum Physics
Strongly Correlated Electrons
Superconductivity
Optics
We demonstrate that quantum Lyapunov control provides an effective strategy for enhancing superconducting correlations in the Fermi-Hubbard model without requiring careful parameter tuning. While photoinduced superconductivity is sensitive to the frequency and amplitude of a monochromatic laser pulse, our approach employs a simple feedback-based protocol that prevents the decrease of superconducting correlations once they begin to form. This method enables robust enhancement of pairing across a broad range of initial pumping conditions, eliminating the need for intricate frequency and amplitude optimization. We also show that an alternative implementation, asymptotic quantum control, achieves comparable results. Furthermore, our approach can be adapted to suppress previously induced superconducting correlations, providing bidirectional control over quantum pairing states. These findings suggest practical pathways for manipulating quantum correlations in strongly interacting systems with minimal experimental complexity.
title Enhancement of superconducting pairing via quantum Lyapunov control
topic Quantum Physics
Strongly Correlated Electrons
Superconductivity
Optics
url https://arxiv.org/abs/2503.20426