Implications of non-Markovian quantum 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 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.Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence.Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. EE , which results in an intermediate case. Finally, the gray, dashed curve is for p = J 4 EE , i.e. a complete Swap, and thus strongly non-Markovian dynamics. The  -E coupling constant is p =  J 32 E for weak coupling, then b = 1 and the system and environment proper frequencies are w = 3 s and w = 1 e respectively.

Collision models in quantum optics

“…This aspect is especially useful in quantum thermodynamics applications, e.g. to connect the Landauer principle with a microscopic framework [54,55] …”

Full counting statistics approach to the quantum non-equilibrium Landauer bound

“…as the difference between the maximum dissipated heat and the maximum of the bound, we find that for the same parameters in figure 3(a),  = ln 2. In figure 5 we provide a quantitative analysis of equation (24) to remark the existence of a 'critical' pump strength. If the environment is initially cold (i.e.…”

“…One the most exciting developments in this line of research is the recent availability of experimental platforms to explore energetic features of small information processing systems [13][14][15][16][17][18][19]. In the quantum domain, Landauer's principle has been studied extensively [20][21][22][23][24][25][26], and the first experiments addressing the energetic costs of information processing are just coming along [27][28][29][30]. The ultimate limit of information-to-energy conversion set by Landauer's principle, including finite-size corrections due to the finite-size nature of the environment being addressed [31,32], was reached in an NMR setup implementing a two-qubit quantum gate [27] and following a proposal based on measuring the first moment of the statistics of heat exchanges [33].…”

Thermodynamics of Weakly Coherent Collisional Models

“…A framework that is particularly suited for addressing the thermodynamics of engineered reservoirs is that of collisional models (also called repeated interactions) [13][14][15][16][17][18][19][20][21][22][23][24]. They draw inspiration from Boltzmann's original Stosszahlansatz: at any given interval of time, the system S will only interact with a tiny fraction of the environment.…”