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4 papers · 2 filters
Generalization of geometric phase to completely positive maps
Marie Ericsson, Erik Sjöqvist, Johan Brännlund +2
We generalize the notion of relative phase to completely positive maps with known unitary representation, based on interferometry. Parallel transport conditions that define the geo…
How to mix a density matrix
Ingemar Bengtsson, Asa Ericsson
A given density matrix may be represented in many ways as a mixture of pure states. We show how any density matrix may be realized as a uniform ensemble. It has been conjectured th…
Mixed state geometric phases, entangled systems, and local unitary transformations
Marie Ericsson, Arun K. Pati, Erik Sjöqvist +2
The geometric phase for a pure quantal state undergoing an arbitrary evolution is a ``memory'' of the geometry of the path in the projective Hilbert space of the system. We find th…
On Integrability of Many-Body Problems with Point Interactions
S. Albeverio, S. M. Fei, P. Kurasov
A study of the integrability of one-dimensional quantum mechanical many-body systems with general point interactions and boundary conditions describing the interactions which can b…