A note on the Landauer principle in quantum statistical mechanics

Abstract

The Landauer principle asserts that the energy cost of erasure of one bit of information by the action of a thermal reservoir in equilibrium at temperature T is never less than $kTlog2$. We discuss Landauer's principle for quantum statistical models describing a finite level quantum system S coupled to an infinitely extended thermal reservoir R. Using Araki's perturbation theory of KMS states and the Avron-Elgart adiabatic theorem we prove, under a natural ergodicity assumption on the joint system S+R, that Landauer's bound saturates for adiabatically switched interactions. The recent work of Reeb and Wolf on the subject is discussed and compared.

References in corpus (11)

• Adiabatic Theorem without a Gap Condition
• Entropy production in quantum spin systems
• Dissipative Transport: Thermal Contacts and Tunnelling Junctions
• Repeated interactions in open quantum systems
• Quantum Hypothesis Testing and Non-Equilibrium Statistical Mechanics
• Another Return of 'Return to Equilibrium'
• Entropic fluctuations of quantum dynamical semigroups
• Theory of Non-Equilibrium Sationary States as a Theory of Resonances
• 'Return to equilibrium' for weakly coupled quantum systems: a simple polymer expansion
• KMS, etc
• On the quasi-static evolution of nonequilibrium steady states

Cited by in corpus (12)

• Direct measurement of nonequilibrium system entropy is consistent with Gibbs-Shannon form
• Finite-bath corrections to the second law of thermodynamics
• Landauer's Principle in Repeated Interaction Systems
• On Landauer's principle and bound for infinite systems
• Adiabatic theorem for closed quantum systems initialized at finite temperature
• Minimising the heat dissipation of quantum information erasure
• Landauer's Principle for Trajectories of Repeated Interaction Systems
• Linear response theory and entropic fluctuations in repeated interaction quantum systems
• Markovian Repeated Interaction Quantum Systems
• Adiabatic theorems for general linear operators with time-independent domains
• Entropic Fluctuations in Statistical Mechanics II. Quantum Dynamical Systems
• Adiabatic Evolution of Low-Temperature Many-Body Systems