singular coupling limit
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Proceedings ◽  
2019 ◽  
Vol 12 (1) ◽  
pp. 17 ◽  
Author(s):  
Davide Lonigro ◽  
Paolo Facchi ◽  
Marilena Ligabò

Lee’s field-theoretical model describes the interaction between a qubit and a structured bosonic field. We study the mathematical properties of the Hamiltonian of the single-excitation sector of the theory, including a possibly “singular” qubit-field coupling (i.e., mediated by a non-square integrable form factor). This result allows for a rigorous description of qubit-field interactions in many physically interesting systems and may be extended to higher-excitation sectors of the theory.


Stochastics ◽  
2011 ◽  
Vol 84 (2-3) ◽  
pp. 417-423
Author(s):  
Wilhelm von Waldenfels

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