Quantum features of the transport through ion channels in the soft knock-on model

Abstract

Ion channels are protein structures that facilitate the selective passage of ions across the membrane cells of living organisms. They are known for their high conductance and high selectivity. The precise mechanism between these two seemingly contradicting features is not yet firmly established. One possible candidate is the quantum coherence. In this work we study the quantum model of the soft knock-on conduction using the Lindblad equation taking into account the non-hermiticity of the model. We show that the model exhibits a regime in which high conductance coexists with high coherence. Our findings second the role of quantum effects in the transport properties of the ion channels.

arXiv comment10 pages, 8 figures; v3: final version

References in corpus (12)

• Quantifying Coherence
• Quantum Coherence as a Resource
• The physics of exceptional points
• Operational Resource Theory of Coherence
• Dephasing assisted transport: Quantum networks and biomolecules
• Environment-Assisted Quantum Transport
• Mixed-state evolution in the presence of gain and loss
• Quantum coherence in ion channels: Resonances, Transport and Verification
• Comparison and unification of non-Hermitian and Lindblad approaches with applications to open quantum optical systems
• Observations about utilitarian coherence in the avian compass
• Quantum relative entropy shows singlet-triplet coherence is a resource in the radical-pair mechanism of biological magnetic sensing
• Coulomb interaction rules timescales in potassium ion channel tunneling