2014年8月
Spin-boson model through a Poisson-driven stochastic process
MATHEMATISCHE ZEITSCHRIFT
- ,
- ,
- 巻
- 277
- 号
- 3-4
- 開始ページ
- 1165
- 終了ページ
- 1198
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1007/s00209-014-1299-1
- 出版者・発行元
- SPRINGER HEIDELBERG
We give a functional integral representation of the semigroup generated by the spin-boson Hamiltonian by making use of a Poisson point process and a Euclidean field. We present a method of constructing Gibbs path measures indexed by the full real line which can be applied also to more general stochastic processes with jump discontinuities. Using these tools we then show existence and uniqueness of the ground state of the spin-boson, and analyze ground state properties. In particular, we prove super-exponential decay of the number of bosons, Gaussian decay of the field operators, derive expressions for the positive integer, fractional and exponential moments of the field operator, and discuss the field fluctuations in the ground state.
- リンク情報
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- DOI
- https://doi.org/10.1007/s00209-014-1299-1
- Web of Science
- https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000339343900031&DestApp=WOS_CPL
- URL
- http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000339343900031
- ID情報
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- DOI : 10.1007/s00209-014-1299-1
- ISSN : 0025-5874
- eISSN : 1432-1823
- Web of Science ID : WOS:000339343900031