An integrable case of the p plus ip pairing Hamiltonian interacting with its environment

作者：Lukyanenko Inna; Isaac Phillip S; Links Jon

来源：Journal of Physics A-Mathematical and Theoretical, 2016, 49(8): 084001.

DOI：10.1088/1751-8113/49/8/084001

• Bethe ansatz
• boundary integrability
• reflection equation

We consider a generalization of the p + ip pairing Hamiltonian, with external interaction terms of a particular form. These terms allow for the exchange of particles between the system and its environment. As a result the u(1) symmetry associated with conservation of particle number, present in the p + ip Hamiltonian, is broken. Nonetheless the generalized model is integrable. We establish integrability using the boundary quantum inverse scattering method, with one of the reflection matrices chosen to be non-diagonal. We also derive the corresponding Bethe ansatz equations, the roots of which parametrize the exact solution for the energy spectrum.

• 出版日期2016-2-26