Thermodynamic correlation inequality

Abstract

Trade-off relations place fundamental limits on the operations that physical systems can perform. This Letter presents a trade-off relation that bounds the correlation function, which measures the relationship between a system's current and future states, in Markov processes. The obtained bound, referred to as the thermodynamic correlation inequality, states that the change in the correlation function has an upper bound comprising the dynamical activity, a thermodynamic measure of the activity of a Markov process. Moreover, by applying the obtained relation to the linear response function, it is demonstrated that the effect of perturbation can be bounded from above by the dynamical activity.

7 pages, 3 figure; 10 pages of supplemental material with 1 figure

References in corpus (13)

• Thermodynamic uncertainty relation for biomolecular processes
• Quantum speed limit for physical processes
• Quantum speed limits in open system dynamics
• Generalized Clausius inequality for nonequilibrium quantum processes
• Simple bounds on fluctuations and uncertainty relations for first-passage times of counting observables
• Thermodynamic Unification of Optimal Transport: Thermodynamic Uncertainty Relation, Minimum Dissipation, and Thermodynamic Speed Limits
• Communication at the quantum speed limit along a spin chain
• Thermodynamic uncertainty relation in quantum thermoelectric junctions
• Unified thermodynamic-kinetic uncertainty relation
• Action quantum speed limits
• Unifying speed limit, thermodynamic uncertainty relation and Heisenberg principle via bulk-boundary correspondence
• Quantum speed limits on operator flows and correlation functions
• Quantum Velocity Limits for Multiple Observables: Conservation Laws, Correlations, and Macroscopic Systems

Cited by in corpus (10)

• Is stochastic thermodynamics the key to understanding the energy costs of computation?
• Dissipation bounds precision of current response to kinetic perturbations
• Dissipation, quantum coherence, and asymmetry of finite-time cross-correlations
• Perspective: Time irreversibility in systems observed at coarse resolution
• Universal Response Inequalities Beyond Steady States via Trajectory Information Geometry
• Fundamental speed limits on entanglement dynamics of bipartite quantum systems
• Quantum-Computer-Based Verification of Quantum Thermodynamic Uncertainty Relation
• Thermodynamic concentration inequalities and tradeoff relations
• Thermodynamic bounds on the asymmetry of cross-correlations with dynamical activity and entropy production
• Fundamental precision limits in finite-dimensional quantum thermal machines