dorsal/arxiv
View SchemaBerry Phases and Quantum Phase Transitions
| Authors | Alioscia Hamma |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0602091 |
| URL | https://arxiv.org/abs/quant-ph/0602091 |
Abstract
We study the connection between Berry phases and quantum phase transitions of generic quantum many-body systems. Consider sequences of Berry phases associated to sequences of loops in the parameter space whose limit is a point. If the sequence of Berry phases does not converge to zero, then the limit point is a quantum critical point. Quantum critical points are associated to failures of adiabaticity. We discuss the remarkable example of the anisotropic XY spin chain in a transverse magnetic field and detect the XX region of criticality.
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"abstract": "We study the connection between Berry phases and quantum phase transitions of\ngeneric quantum many-body systems. Consider sequences of Berry phases\nassociated to sequences of loops in the parameter space whose limit is a point.\nIf the sequence of Berry phases does not converge to zero, then the limit point\nis a quantum critical point. Quantum critical points are associated to failures\nof adiabaticity. We discuss the remarkable example of the anisotropic XY spin\nchain in a transverse magnetic field and detect the XX region of criticality.",
"arxiv_id": "quant-ph/0602091",
"authors": [
"Alioscia Hamma"
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"title": "Berry Phases and Quantum Phase Transitions",
"url": "https://arxiv.org/abs/quant-ph/0602091"
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