Abstract
A Langevin canonical framework for a chiral two-level system coupled to a bath of harmonic oscillators is used within a coupling scheme different from the well-known spin-boson model. From this stochastic dynamics, within the Markovian regime and Ohmic friction, some standard quantum thermodynamics functions such as the energy average and heat capacity can be extracted. In particular, special emphasis is put on the so-called quantum stochastic resonance which is a cooperative effect of friction, noise and periodic driving occurring in a bistable system.
Highlights
Open quantum systems is currently a very active field of research due to the fact that the interaction with the environment can hardly be ignored in many physical, chemical, and biological processes [1,2,3]
Provides a natural scenario to apply our canonical formalism. This process refers to the amplification of the response to an external periodic signal at a certain value of the noise strength, being a cooperative effect of friction, noise and periodic driving occurring in a bistable system
In a previous work [31] within the linear response regime, we have shown that an external driving field that lowers and rises each of the minima of the well alternatively, a quantum stochastic resonance (QSR) signal should be observed only in the case that the parity violating energy difference (PVED) is different from zero, the resonance condition being independent of tunneling between the two enantiomers
Summary
Open quantum systems is currently a very active field of research due to the fact that the interaction with the environment can hardly be ignored in many physical, chemical, and biological processes [1,2,3]. The time evolution of the non-isolated chiral TLS has provided information about coherent and incoherent tunneling This theoretical analysis has allowed us to successfully reproduce some thermodynamical properties of these systems from a stochastic dynamics. A very recent work by Harris and Walls [29] proposes the use of an AC electric field that is resonantly modulated at the Larmor frequency to enhance the chiral term effects which appear when an electric field is coupled to nuclear magnetic resonance effects in chiral molecules [30] In this spirit, QSR would constitute a good playground where parity violating effects in chiral molecules could be tested.
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