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A Langevin canonical approach to the dynamics of chiral systems: populations and coherences
Helen Clara Peñate-Rodríguez1, Anais Dorta-Urra, Pedro Bargueño
1Instituto Superior de Tecnología y Ciencias Aplicadas, Ave. Salvador Allende y Luaces, Quinta de Los Molinos, Plaza La Habana 10600, Cuba.
Abstract:
A canonical framework for chiral two-level systems coupled to a bath of harmonic oscillators is developed to extract, from a stochastic dynamics, the thermodynamic equilibrium values of both the population difference and coherences. The incoherent and coherent tunneling regimes are analyzed for an Ohmic environment in terms of a critical temperature defined by the maximum of the heat capacity. The corresponding numerical results issued from solving a non-linear coupled system of equations are fitted to approximate path-integral analytical expressions beyond the so-called non-interacting blip approximation in order to determine the different time scales governing both regimes.
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