dorsal/arxiv
View SchemaFrustration, interaction strength and ground-state entanglement in complex quantum systems
| Authors | Christopher M. Dawson, Michael A. Nielsen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0401061 |
| URL | https://arxiv.org/abs/quant-ph/0401061 |
| DOI | 10.1103/PhysRevA.69.052316 |
| Journal | Phys. Rev. A 69 (5): Art. No. 052316 (2004) |
Abstract
Entanglement in the ground state of a many-body quantum system may arise when the local terms in the system Hamiltonian fail to commute with the interaction terms in the Hamiltonian. We quantify this phenomenon, demonstrating an analogy between ground-state entanglement and the phenomenon of frustration in spin systems. In particular, we prove that the amount of ground-state entanglement is bounded above by a measure of the extent to which interactions frustrate the local terms in the Hamiltonian. As a corollary, we show that the amount of ground-state entanglement is bounded above by a ratio between parameters characterizing the strength of interactions in the system, and the local energy scale. Finally, we prove a qualitatively similar result for other energy eigenstates of the system.
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"abstract": "Entanglement in the ground state of a many-body quantum system may arise when\nthe local terms in the system Hamiltonian fail to commute with the interaction\nterms in the Hamiltonian. We quantify this phenomenon, demonstrating an analogy\nbetween ground-state entanglement and the phenomenon of frustration in spin\nsystems. In particular, we prove that the amount of ground-state entanglement\nis bounded above by a measure of the extent to which interactions frustrate the\nlocal terms in the Hamiltonian. As a corollary, we show that the amount of\nground-state entanglement is bounded above by a ratio between parameters\ncharacterizing the strength of interactions in the system, and the local energy\nscale. Finally, we prove a qualitatively similar result for other energy\neigenstates of the system.",
"arxiv_id": "quant-ph/0401061",
"authors": [
"Christopher M. Dawson",
"Michael A. Nielsen"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevA.69.052316",
"journal_ref": "Phys. Rev. A 69 (5): Art. No. 052316 (2004)",
"title": "Frustration, interaction strength and ground-state entanglement in complex quantum systems",
"url": "https://arxiv.org/abs/quant-ph/0401061"
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