Shortcuts to adiabaticity applied to nonequilibrium entropy production: An information geometry viewpoint

Abstract

We apply the method of shortcuts to adiabaticity to nonequilibrium systems. For unitary dynamics, the system Hamiltonian is separated into two parts. One of them defines the adiabatic states for the state to follow and the nonadiabatic transitions are prevented by the other part. This property is implemented to the nonequilibrium entropy production and we find that the entropy is separated into two parts. The separation represents the Pythagorean theorem for the Kullback-Leibler divergence and an information-geometric interpretation is obtained. We also study a lower bound of the entropy, which is applied to derive a trade-off relation between time, entropy and state distance.

19 pages, 5 figures, article for "Focus on Shortcuts to Adiabaticity"

References in corpus (11)

• Shortcut to adiabatic passage in two and three level atoms
• Dissipation: The phase-space perspective
• Assisted finite-rate adiabatic passage across a quantum critical point: Exact solution for the quantum Ising model
• Generalized Clausius inequality for nonequilibrium quantum processes
• Shortcut to adiabaticity for an interacting Bose-Einstein condensate
• Fast optimal transition between two equilibrium states
• Universal Work Fluctuations during Shortcuts To Adiabaticity by Counterdiabatic Driving
• Thermodynamic length for far from equilibrium quantum systems
• Suppression of work fluctuations by optimal control: An approach based on Jarzynski's equality
• Minimal Work Principle and its Limits for Classical Systems
• Quantum-Classical Correspondence of Shortcuts to Adiabaticity

Cited by in corpus (8)

• Focus on Shortcuts to Adiabaticity
• Optimal Control in Stochastic Thermodynamics
• Geometric thermodynamics for the Fokker-Planck equation: Stochastic thermodynamic links between information geometry and optimal transport
• Kibble-Zurek scaling in quantum speed limits for shortcuts to adiabaticity
• Shortcuts to adiabaticity: theoretical framework, relations between different methods, and versatile approximations
• Speed limits of the trace distance for open quantum system
• Generalized speed limits for classical stochastic systems and their applications to relaxation, annealing, and pumping processes
• Classical dissipative cost of quantum control