Thermodynamics of the dissipative two-state system: a bethe-ansatz study

Physical Review B - Condensed Matter and Materials Physics

Volumn 59, Issue 19, 1999, Pages 12398-12418

  Zarand G ^b  

^a UNIVERSITY OF KARLSRUHE   (Germany)

^b BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000269885     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.59.12398     Document Type: Article

References (72)

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72. The reason for the exponential decay of (Formula presented) (Formula presented) for (Formula presented) (Formula presented) is clear from the form of (Formula presented) (Formula presented) and the values which the functions (Formula presented) take at the boundaries (Formula presented) For definiteness consider (Formula presented) then (Formula presented) It can be shown that the (Formula presented) are monotonically decreasing and for (Formula presented) take on values at (Formula presented) of order (Formula presented) Due to the negative driving term in (Formula presented) the sign of the term in the exponential will change at some (Formula presented) and the magnitude of this term will therefore also change close to (Formula presented) from a very large positive to a very large negative value thereby giving rise to the exponential decay in (Formula presented) A similar reason holds for the function (Formula presented) in the case (Formula presented) for (Formula presented) (the large terms in the exponential now being (Formula presented) and (Formula presented).