Implications of non-Markovian dynamics for the Landauer bound

Abstract

We study the dynamics of a spin-1/2 particle interacting with a multi-spin environment, modelling the corresponding open system dynamics through a collision-based model. The environmental particles are prepared in individual thermal states, and we investigate the effects of a distribution of temperatures across the spin environment on the evolution of the system, particularly how thermalisation in the long-time limit is affected. %We also address the conditions under which the system reaches a stationary state, with particular attention to whether homogenization to the average environmental state occurs. We study the phenomenology of the heat exchange between system and environment and consider the information-to-energy conversion process, induced by the system-environment interaction and embodied by the Landauer principle. Furthermore, by considering an interacting-particles environment, we tune the dynamics of the system from an explicit Markovian evolution up to a strongly non-Markovian one, investigating the connections between non-Markovianity, the establishment of system-environment correlations, and the breakdown of the validity of Landauer principle.

14 pages, 6 figures. Published version

References in corpus (12)

• Experimental study of mutual information in a Maxwell Demon
• On measures of non-Markovianity: divisibility vs. backflow of information
• Optimal state pairs for non-Markovian quantum dynamics
• Experimental on-demand recovery of entanglement by local operations within non-Markovian dynamics
• Harnessing non-Markovian quantum memory by environmental coupling
• Dynamical role of system-environment correlations in non-Markovian dynamics
• Correlations in quantum thermodynamics: Heat, work, and entropy production
• Crossover Between Non-Markovian and Markovian Dynamics Induced by a Hierarchical Environment
• Dissipative dynamics of a solid-state qubit coupled to surface plasmons: from non-Markov to Markov regimes
• Control of non-Markovian effects in the dynamics of polaritons in semiconductor microcavities
• Landauer's principle in the quantum domain
• Entropy production in a non-Markovian environment

Cited by in corpus (9)

• Composite quantum collision models
• Exact master equation for a spin interacting with a spin bath: Non-Markovianity and negative entropy production rate
• Three-qubit refrigerator with two-body interactions
• Quantum machines powered by correlated baths
• Precursors of non-Markovianity
• Thermalization of finite many-body systems by a collision model
• Thermodynamics of collisional models for Brownian particles: General properties and efficiency
• Nonequilibrium quantum bounds to Landauer's principle: Tightness and effectiveness
• Transient Dynamics and Homogenization in Incoherent Collision Models