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Journal of Experimental and Theoretical Physics

Special role of the two-phonon interaction in the problem of quantum tunneling with dissipation in a crystal

Yu. Kagan, Nikolay V. Prokof'ev

Published Dec 1, 1989• 1 citation
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The properties of a two-state chain interacting with a phonon bath is studied in this paper. We discuss the renormalization of the single pseudospin tunneling parameter by phonons' interaction, as well as other pseudospins' correlation. We find that for Ohmic dissipation, the correlation between pseudospins vanishes and the phonons' interaction induces the localization–delocalization transition. For our discussed super-Ohmic dissipation, the phonons' interaction only reduces the tunneling parameter and does not induce phase transition. In this case the pseudospins' correlation has its effect and reduces the tunneling parameter at weak coupling. In addition, some application of our results is also discussed.