Quantum Effects in Ion Transport: A Thermodynamic Resource Theory Approach

Abstract

In recent years, understanding thermodynamics in the quantum regime has garnered significant attention, driven by advances in nanoscale physics and experimental techniques. In parallel, growing evidence supports the importance of quantum effects in various biological processes, making them increasingly relevant to quantum thermodynamics. In this study, we apply resource theory formulations of thermodynamics to investigate the role of quantum properties in ion transport across cell membranes. Within this framework, quantum properties are treated as resources under generalized thermodynamic constraints in the quantum regime. Specifically, our findings reveal that non-Markovianity, which reflects memory effects in ion transport dynamics, serves as a key quantum resource that enhances the yield and efficiency of the ion transport process. In contrast, quantum coherence, manifested as the superposition of energy states in ion-transport proteins, reduces these metrics but plays a crucial role in distinguishing between ion channels and ion pumps: two distinct types of ion-transport proteins in cell membranes. Finally, we demonstrate that introducing an additional coherent system allows coherence to facilitate the transformation of an ion pump into an ion channel.

9 pages, 3 figures

References in corpus (29)

• Quantum Coherence as a Resource
• Quantum Resource Theories
• Quantum Non-Markovianity: Characterization, Quantification and Detection
• Fundamental limitations for quantum and nano thermodynamics
• Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
• On quantum Renyi entropies: a new generalization and some properties
• The second laws of quantum thermodynamics
• The Resource Theory of Quantum States Out of Thermal Equilibrium
• Catalytic Coherence
• Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched Renyi relative entropy
• Quantum coherence, time-translation symmetry and thermodynamics
• Irreversible entropy production, from quantum to classical
• The extraction of work from quantum coherence
• Towards fully quantum second laws of thermodynamics: limitations on the evolution of quantum coherences
• An introductory review of the resource theory approach to thermodynamics
• Quantum hypothesis testing and the operational interpretation of the quantum Renyi relative entropies
• The role of quantum coherence in non-equilibrium entropy production
• The role of coherence in the non-equilibrium thermodynamics of quantum systems
• Quantum coherence in ion channels: Resonances, Transport and Verification
• Heat-Bath Algorithmic Cooling with optimal thermalization strategies
• Vibrational excitons in ionophores: Experimental probes for quantum coherence-assisted ion transport and selectivity in ion channels
• Markovian evolution of quantum coherence under symmetric dynamics
• Fundamental limitations on photoisomerization from thermodynamic resource theories
• Non-Markovian thermal operations boosting the performance of quantum heat engines
• Resource theories of multi-time processes: A window into quantum non-Markovianity
• Resource Preservability
• Capacity of non-Markovianity to boost the efficiency of molecular switches
• Quantum Decoherence Timescales for Ionic Superposition States in Ion Channels
• Quantum non-Markovianity, quantum coherence and extractable work in a general quantum process