A projection operator approach to a dissipative two-level system

M. Morillo, R.I. Cukier and M. Tij

Physica A: Statistical Mechanics and its Applications, 1991, vol. 179, issue 3, 411-427

Abstract: The equations of motion of a system with a few degrees of freedom that is coupled to a dissipative bath are obtained with the introduction of a new projection operator. When expanded to second order in an interaction term, the projected equation of motion can be used to discuss the two-state system coupled to a boson bath (the spin-boson Hamiltonian). The expansion parameter is the splitting of the states of the two-state system. We obtain an equation of motion for the elements of the density matrix of the two-state system, which can be solved to yield the non-interacting blip approximation discussed by Legget et al. [A.J. Legget, S. Chakravaty, A.T. Dorsey, M.P.A. Fisher and W. Zwerger, Rev. Mod. Phys. 59 (1987) 1]. The case of an ohmic bath is also treated in a direct fashion.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:179:y:1991:i:3:p:411-427

DOI: 10.1016/0378-4371(91)90086-R

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