dorsal/arxiv
View SchemaThermodynamic analogy for quantum phase transitions at zero temperature
| Authors | Pavel Cejnar, Stefan Heinze, Jan Dobes |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0406060 |
| URL | https://arxiv.org/abs/nucl-th/0406060 |
| DOI | 10.1103/PhysRevC.71.011304 |
| Journal | Phys.Rev. C71 (2005) 011304 |
Abstract
We propose a relationship between thermodynamic phase transitions and ground-state quantum phase transitions in systems with variable Hamiltonian parameters. It is based on a link between zeros of the canonical partition function at complex temperatures and exceptional points of a quantum Hamiltonian in the complex-extended parameter space. This approach is applied in the interacting boson model, where it is shown to properly distinguish the first- and second-order phase transitions.
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"abstract": "We propose a relationship between thermodynamic phase transitions and\nground-state quantum phase transitions in systems with variable Hamiltonian\nparameters. It is based on a link between zeros of the canonical partition\nfunction at complex temperatures and exceptional points of a quantum\nHamiltonian in the complex-extended parameter space. This approach is applied\nin the interacting boson model, where it is shown to properly distinguish the\nfirst- and second-order phase transitions.",
"arxiv_id": "nucl-th/0406060",
"authors": [
"Pavel Cejnar",
"Stefan Heinze",
"Jan Dobes"
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"doi": "10.1103/PhysRevC.71.011304",
"journal_ref": "Phys.Rev. C71 (2005) 011304",
"title": "Thermodynamic analogy for quantum phase transitions at zero temperature",
"url": "https://arxiv.org/abs/nucl-th/0406060"
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