dorsal/arxiv
View SchemaThe differential information-geometry of quantum phase transitions
| Authors | P. Zanardi, P. Giorda, M. Cozzini |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0701061 |
| URL | https://arxiv.org/abs/quant-ph/0701061 |
Abstract
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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"abstract": "The manifold of coupling constants parametrizing a quantum Hamiltonian is\nequipped with a natural Riemannian metric with an operational\ndistinguishability content. We argue that the singularities of this metric are\nin correspondence with the quantum phase transitions featured by the\ncorresponding system. This approach provides a universal conceptual framework\nto study quantum critical phenomena which is differential-geometric and\ninformation-theoretic at the same time.",
"arxiv_id": "quant-ph/0701061",
"authors": [
"P. Zanardi",
"P. Giorda",
"M. Cozzini"
],
"categories": [
"quant-ph"
],
"title": "The differential information-geometry of quantum phase transitions",
"url": "https://arxiv.org/abs/quant-ph/0701061"
},
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