dorsal/arxiv
View SchemaRethinking Renormalization for Quantum Phase Transitions
| Authors | Hilary A. Carteret |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0405168 |
| URL | https://arxiv.org/abs/quant-ph/0405168 |
Abstract
This is a conceptual paper that re-examines the principles underlying the application of renormalization theory to quantum phase transitions in the light of quantum information theory. We start by describing the intuitive argument known as the Kadanoff ``block-spin'' construction for spins fixed on a lattice and then outline some subsequent ideas by Wilson and White. We then reconstruct these concepts for quantum phase transitions from first principles. This new perspective offers some very natural explanations for some features of renormalization theory that had previously seemed rather mysterious, even contrived. It also offers some suggestions as to how we might modify renormalization methods to make them more successful. We then discuss some possible order parameters and a class of functionals that are analogues of the correlation length in such systems.
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"abstract": "This is a conceptual paper that re-examines the principles underlying the\napplication of renormalization theory to quantum phase transitions in the light\nof quantum information theory. We start by describing the intuitive argument\nknown as the Kadanoff ``block-spin\u0027\u0027 construction for spins fixed on a lattice\nand then outline some subsequent ideas by Wilson and White. We then reconstruct\nthese concepts for quantum phase transitions from first principles. This new\nperspective offers some very natural explanations for some features of\nrenormalization theory that had previously seemed rather mysterious, even\ncontrived. It also offers some suggestions as to how we might modify\nrenormalization methods to make them more successful. We then discuss some\npossible order parameters and a class of functionals that are analogues of the\ncorrelation length in such systems.",
"arxiv_id": "quant-ph/0405168",
"authors": [
"Hilary A. Carteret"
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"categories": [
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"title": "Rethinking Renormalization for Quantum Phase Transitions",
"url": "https://arxiv.org/abs/quant-ph/0405168"
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