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Ground state of a simple spin-boson system: exact results

✍ Scribed by C.F. Lo; W.H. Wong


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
355 KB
Volume
256
Category
Article
ISSN
0009-2614

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✦ Synopsis


The ground state of a two-level system coupled to a dispersionless phonon bath is studied. The exact ground-state solution to the problem is obtained via a combination of unitary transformations and numerical diagonalization. The impossibility of the discontinuous localization-delocalization transition of the tunneling particle is shown.


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A generalization of the standard spin-boson model is considered. The Hamiltonian H(:) of the model with a coupling parameter : # R acts in the tensor product H F b of a Hilbert space H and the boson (symmetric) Fock space F b over L 2 (R & ). The existence and uniqueness of ground states of H(:) are