The differential information-geometry of quantum phase transitions
The manifold of coupling constants parametrizing a quantum Hamiltonian is equipped with a natural Riemannian metric with an operational distinguishability content. We argue that the singularities of this metric are in correspondence with the quantum phase transitions featured by the corresponding sy...
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Zusammenfassung: | The manifold of coupling constants parametrizing a quantum Hamiltonian is
equipped with a natural Riemannian metric with an operational
distinguishability content. We argue that the singularities of this metric are
in correspondence with the quantum phase transitions featured by the
corresponding system. This approach provides a universal conceptual framework
to study quantum critical phenomena which is differential-geometric and
information-theoretic at the same time. |
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DOI: | 10.48550/arxiv.quant-ph/0701061 |