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arXiv · 1507.04068

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

Inna Lukyanenko·Phillip S. Isaac·Jon Links
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Abstract

We consider a generalisation of the p+ip pairing Hamiltonian with external interaction terms. 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 generalised 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 parametrise the exact solution for the energy spectrum.

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Inna Lukyanenko, Phillip S. Isaac, Jon Links. 2015-07-15. An integrable case of the p+ip pairing Hamiltonian interacting with its environment. https://doi.org/10.1088/1751-8113%2F49%2F8%2F084001

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