dorsal/arxiv
View SchemaRelationship of Quantum Entanglement to Density Functional Theory
| Authors | A. K. Rajagopal, R. W. Rendell |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0512102 |
| URL | https://arxiv.org/abs/quant-ph/0512102 |
Abstract
The maximum von Neumann entropy principle subject to given constraints of mean values of some physical observables determines the density matrix. Similarly the stationary action principle in the case of time-dependent (dissipative) situations under similar constraints yields the density matrix. The free energy and measures of entanglement are expressed in terms of such a density matrix and thus define respective functionals of the mean values. In the light of several model calculations, it is found that the density matrix contains information about both quantum entanglement and phase transitions even though there may not be any direct relationship implied by one on the other.
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"abstract": "The maximum von Neumann entropy principle subject to given constraints of\nmean values of some physical observables determines the density matrix.\nSimilarly the stationary action principle in the case of time-dependent\n(dissipative) situations under similar constraints yields the density matrix.\nThe free energy and measures of entanglement are expressed in terms of such a\ndensity matrix and thus define respective functionals of the mean values. In\nthe light of several model calculations, it is found that the density matrix\ncontains information about both quantum entanglement and phase transitions even\nthough there may not be any direct relationship implied by one on the other.",
"arxiv_id": "quant-ph/0512102",
"authors": [
"A. K. Rajagopal",
"R. W. Rendell"
],
"categories": [
"quant-ph"
],
"title": "Relationship of Quantum Entanglement to Density Functional Theory",
"url": "https://arxiv.org/abs/quant-ph/0512102"
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