13ª Semana Integrada do Instituto de Física de São Carlos

Looking for dissipative adaptation in the driven spin-boson model

21 de ago. de 2023 14:00

1h 30m

Salão de Eventos USP

Prêmio YPM 14h00 - 15h30

Descrição

One example of applicability of nonequilibrium statistical physics is to explain how biological systems work. In these systems, the definition of the thermodynamic quantities should be revised to account for the irreversibility of the process. In this scenario, the dissipative adaptation hypothesis (1), proposed by Jeremy England, is a general thermodynamic mechanism that explains system self-organization through the dissipation of work absorbed from an external drive, which acts on the system over a period of time. It establishes how the most likely or adapted states of a system subjected to a given drive tend to be those following trajectories of highest work absorption, followed by dissipated heat to the reservoir. We can think of dissipative adaptation as being a generalization of the Gibbs distribution for systems far from equilibrium. Our idea, is using refs to study the quantum dynamics of a spin-boson systems (a two-level system) with time-dependent external drive and to evaluate the thermodynamic quantities of a self organization process, as absorbed work and heat dissipation. (2-3) In other words, we will have an asymmetric double well potential, after some time a pump of energy is added through a variable that can be chosen according to experimental background or other parameters of the system. Our goal is to show that the drive in an asymmetric potential is able to localize a particle in one of the bottoms of the well and verify that in this transition occurred the highest work absorption followed by dissipation of energy. The relation with these thermodynamic quantities is derived using the path integral approach, introduced by Feynman-Vernon in 1959, which is a description of an open quantum system that has been used to study the dissipative dynamics of the quantum systems, known as the Caldeira-Leggett model of the quantum Brownian motion. (3)

Referências

1 ENGLAND, J. L. Dissipative adaptation in driven self-assembly. Nature Nanotechnology, v. 10, n. 11, p. 919-923, 2015.

2 VALENTE, D.; BRITO, F.; WERLANG, T. Quantum dissipative adaptation. Communications Physics, v. 4, n. 1, p. 11-1-11-8, 2021.

3 FUNO, K.; QUAN, H. T. Path integral approach to quantum thermodynamics. Physical Review Letters, v. 121, n. 4, p. 040602-1-040602-7, 2018.