dorsal/arxiv
View SchemaThermodynamic Analogy for Structural Phase Transitions
| Authors | Pavel Cejnar, Stefan Heinze, Jan Dobes |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0501041 |
| URL | https://arxiv.org/abs/nucl-th/0501041 |
| DOI | 10.1063/1.1996885 |
Abstract
We investigate the relationship between ground-state (zero-temperature) quantum phase transitions in systems with variable Hamiltonian parameters and classical (temperature-driven) phase transitions in standard thermodynamics. An analogy is found between (i) phase-transitional distributions of the ground-state related branch points of quantum Hamiltonians in the complex parameter plane and (ii) distributions of zeros of classical partition functions in complex temperatures. Our approach properly describes the first- and second-order quantum phase transitions in the interacting boson model and can be generalized to finite temperatures.
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"abstract": "We investigate the relationship between ground-state (zero-temperature)\nquantum phase transitions in systems with variable Hamiltonian parameters and\nclassical (temperature-driven) phase transitions in standard thermodynamics. An\nanalogy is found between (i) phase-transitional distributions of the\nground-state related branch points of quantum Hamiltonians in the complex\nparameter plane and (ii) distributions of zeros of classical partition\nfunctions in complex temperatures. Our approach properly describes the first-\nand second-order quantum phase transitions in the interacting boson model and\ncan be generalized to finite temperatures.",
"arxiv_id": "nucl-th/0501041",
"authors": [
"Pavel Cejnar",
"Stefan Heinze",
"Jan Dobes"
],
"categories": [
"nucl-th"
],
"doi": "10.1063/1.1996885",
"title": "Thermodynamic Analogy for Structural Phase Transitions",
"url": "https://arxiv.org/abs/nucl-th/0501041"
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