Coherent states and wave packet dynamics for the Bogoliubovde Gennes equationsTools LanghamLopez, Jordan (2016) Coherent states and wave packet dynamics for the Bogoliubovde Gennes equations. PhD thesis, University of Nottingham.
AbstractWe investigate generalizations of coherent states as a means of representing the dynamics of excitations of the superconducting ground state. We also analyse the propagation of generalized coherent state wave packets under the Bogoliubovde Gennes Hamiltonian. The excitations of the superconducting ground state are superpositions of electron and hole quasiparticles described by the Bogoliubovde Gennes equations, that can only exist at energies outside the band gap. A natural generalization relevant to the excitations of the superconducting ground state is the tensor product of canonical and spin coherent states. This state will quickly become delocalized on phase space under evolution by the Bogoliubovde Gennes Hamiltonian due to the opposite velocities of the quasispin components. We therefore define the electronhole coherent states which remain localised on phase space over longer times. We show that the electronhole coherent states though entangled retain many defining features of coherent states.
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