dorsal/arxiv
View SchemaQuantum Entanglement of Identical Particles
| Authors | Yu Shi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0205069 |
| URL | https://arxiv.org/abs/quant-ph/0205069 |
| DOI | 10.1103/PhysRevA.67.024301 |
| Journal | Phys. Rev. A 67, 024301 (2003) [eprint contains a post-publication correction] |
Abstract
We consider entanglement in a system of fixed number of identical particles. Since any operation should be symmetrized over all the identical particles and there is the precondition that the spatial wave functions overlap, the meaning of identical-particle entanglement is fundamentally different from that of distinguishable particles. The identical-particle counterpart of the Schmidt basis is shown to be the single-particle basis in which the one-particle reduced density matrix is diagonal. But it does not play a special role in the issue of entanglement, which depends on the single-particle basis chosen. The nonfactorization due to (anti)symmetrization is naturally excluded by using the (anti)symmetrized basis or, equivalently, the particle number representation. The natural degrees of freedom in quantifying the identical-particle entanglement in a chosen single-particle basis are occupation numbers of different single particle basis states. The entanglement between effectively distinguishable spins is shown to be a special case of the occupation-number entanglement.
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"abstract": "We consider entanglement in a system of fixed number of identical particles.\nSince any operation should be symmetrized over all the identical particles and\nthere is the precondition that the spatial wave functions overlap, the meaning\nof identical-particle entanglement is fundamentally different from that of\ndistinguishable particles. The identical-particle counterpart of the Schmidt\nbasis is shown to be the single-particle basis in which the one-particle\nreduced density matrix is diagonal. But it does not play a special role in the\nissue of entanglement, which depends on the single-particle basis chosen. The\nnonfactorization due to (anti)symmetrization is naturally excluded by using the\n(anti)symmetrized basis or, equivalently, the particle number representation.\nThe natural degrees of freedom in quantifying the identical-particle\nentanglement in a chosen single-particle basis are occupation numbers of\ndifferent single particle basis states. The entanglement between effectively\ndistinguishable spins is shown to be a special case of the occupation-number\nentanglement.",
"arxiv_id": "quant-ph/0205069",
"authors": [
"Yu Shi"
],
"categories": [
"quant-ph",
"cond-mat"
],
"doi": "10.1103/PhysRevA.67.024301",
"journal_ref": "Phys. Rev. A 67, 024301 (2003) [eprint contains a post-publication\n correction]",
"title": "Quantum Entanglement of Identical Particles",
"url": "https://arxiv.org/abs/quant-ph/0205069"
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