On Existence of Ground States in the Spin Boson Model
D. Hasler, B. Hinrichs, O. Siebert, Communications in Mathematical Physics 388 (2021) 419–433.
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Author
Hasler, David;
Hinrichs, BenjaminLibreCat 
;
Siebert, Oliver
;
Siebert, OliverAbstract
We show the existence of ground states in the massless spin boson model without any infrared regularization. Our proof is non-perturbative and relies on a compactness argument. It works for arbitrary values of the coupling constant under the hypothesis that the second derivative of the ground state energy as a function of a constant external magnetic field is bounded.
Publishing Year
Journal Title
Communications in Mathematical Physics
Volume
388
Issue
1
Page
419-433
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Hasler D, Hinrichs B, Siebert O. On Existence of Ground States in the Spin Boson Model. Communications in Mathematical Physics. 2021;388(1):419-433. doi:10.1007/s00220-021-04185-w
Hasler, D., Hinrichs, B., & Siebert, O. (2021). On Existence of Ground States in the Spin Boson Model. Communications in Mathematical Physics, 388(1), 419–433. https://doi.org/10.1007/s00220-021-04185-w
@article{Hasler_Hinrichs_Siebert_2021, title={On Existence of Ground States in the Spin Boson Model}, volume={388}, DOI={10.1007/s00220-021-04185-w}, number={1}, journal={Communications in Mathematical Physics}, publisher={Springer Science and Business Media LLC}, author={Hasler, David and Hinrichs, Benjamin and Siebert, Oliver}, year={2021}, pages={419–433} }
Hasler, David, Benjamin Hinrichs, and Oliver Siebert. “On Existence of Ground States in the Spin Boson Model.” Communications in Mathematical Physics 388, no. 1 (2021): 419–33. https://doi.org/10.1007/s00220-021-04185-w.
D. Hasler, B. Hinrichs, and O. Siebert, “On Existence of Ground States in the Spin Boson Model,” Communications in Mathematical Physics, vol. 388, no. 1, pp. 419–433, 2021, doi: 10.1007/s00220-021-04185-w.
Hasler, David, et al. “On Existence of Ground States in the Spin Boson Model.” Communications in Mathematical Physics, vol. 388, no. 1, Springer Science and Business Media LLC, 2021, pp. 419–33, doi:10.1007/s00220-021-04185-w.
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