Spin Hamilton operators, symmetry breaking, energy level crossing and entanglement
- Steeb, Willi-Hans, Hardy, Yorick, De Greef, Jacqueline
- Authors: Steeb, Willi-Hans , Hardy, Yorick , De Greef, Jacqueline
- Date: 2012-01-27
- Subjects: Hilbert spaces , Hamilton operators , Spin matrices , Eigenvalues
- Type: Article
- Identifier: uj:5975 , http://hdl.handle.net/10210/8440
- Description: © Willi-Hans Steeb, Yorick Hardy and Jacqueline de Greef, 2012 Available online: http://arxiv.org/abs/1110.4204v2 , We study finite-dimensional product Hilbert spaces, coupled spin systems, entanglement and energy level crossing. The Hamilton operators are based on the Pauli group. We show that swapping the interacting term can lead from unentangled eigenstates to entangled eigenstates and from an energy spectrum with energy level crossing to avoided energy level crossing.
- Full Text:
- Authors: Steeb, Willi-Hans , Hardy, Yorick , De Greef, Jacqueline
- Date: 2012-01-27
- Subjects: Hilbert spaces , Hamilton operators , Spin matrices , Eigenvalues
- Type: Article
- Identifier: uj:5975 , http://hdl.handle.net/10210/8440
- Description: © Willi-Hans Steeb, Yorick Hardy and Jacqueline de Greef, 2012 Available online: http://arxiv.org/abs/1110.4204v2 , We study finite-dimensional product Hilbert spaces, coupled spin systems, entanglement and energy level crossing. The Hamilton operators are based on the Pauli group. We show that swapping the interacting term can lead from unentangled eigenstates to entangled eigenstates and from an energy spectrum with energy level crossing to avoided energy level crossing.
- Full Text:
Exceptional points, nonnormal matrices, hierarchy of spin matrices and an eigenvalue problem
- Steeb, Willi-Hans, Hardy, Yorick
- Authors: Steeb, Willi-Hans , Hardy, Yorick
- Date: 2013-02-08
- Subjects: Hamilton operators , Spin matrices , Eigenvalues
- Type: Article
- Identifier: uj:5979 , http://hdl.handle.net/10210/8444
- Description: Exceptional points are studied for non-hermitian Hamilton operators given by a hierarchy of spin-operators.
- Full Text:
- Authors: Steeb, Willi-Hans , Hardy, Yorick
- Date: 2013-02-08
- Subjects: Hamilton operators , Spin matrices , Eigenvalues
- Type: Article
- Identifier: uj:5979 , http://hdl.handle.net/10210/8444
- Description: Exceptional points are studied for non-hermitian Hamilton operators given by a hierarchy of spin-operators.
- Full Text:
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