A Langevin canonical approach to the dynamics of two level systems. I. Populations and coherences

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 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.

8 pages, 4 figures, 1 table

References in corpus (2)

• Quantum Computing
• Specific heat anomalies of open quantum systems

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