dorsal/arxiv
View SchemaModel for Entangled States with Spin-Spin Interaction
| Authors | Yakir Aharonov, Jeeva Anandan, G. Jordan Maclay, Jun Suzuki |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0407236 |
| URL | https://arxiv.org/abs/quant-ph/0407236 |
| DOI | 10.1103/PhysRevA.70.052114 |
| Journal | Phys. Rev. A 70, 052114 (2004) |
Abstract
A system consisting of two neutral spin 1/2 particles is analyzed for two magnetic field perturbations: 1) an inhomogeneous magnetic field over all space, and 2) external fields over a half space containing only one of the particles. The field is chosen to point from one particle to the other, which results in essentially a one-dimensional problem. A number of interesting features are revealed for the first case: the singlet, which has zero potential energy in the unperturbed case, remains unstable in the perturbing field. The spin zero component of the triplet evolves into a bound state with a double well potential, with the possibility of tunneling. Superposition states can be constructed which oscillate between entangled and unentangled states. For the second case, we show that changes in the magnetic field around one particle affect measurements of the spin of the entangled particle not in the magnetic field nonlocally. By using protective measurements, we show it is possible in principle to establish a nonlocal interaction using the two particles, provided the dipole-dipole potential energy does not vanish and is comparable to the potential energy of the particle in the external field.
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"abstract": "A system consisting of two neutral spin 1/2 particles is analyzed for two\nmagnetic field perturbations: 1) an inhomogeneous magnetic field over all\nspace, and 2) external fields over a half space containing only one of the\nparticles. The field is chosen to point from one particle to the other, which\nresults in essentially a one-dimensional problem. A number of interesting\nfeatures are revealed for the first case: the singlet, which has zero potential\nenergy in the unperturbed case, remains unstable in the perturbing field. The\nspin zero component of the triplet evolves into a bound state with a double\nwell potential, with the possibility of tunneling. Superposition states can be\nconstructed which oscillate between entangled and unentangled states. For the\nsecond case, we show that changes in the magnetic field around one particle\naffect measurements of the spin of the entangled particle not in the magnetic\nfield nonlocally. By using protective measurements, we show it is possible in\nprinciple to establish a nonlocal interaction using the two particles, provided\nthe dipole-dipole potential energy does not vanish and is comparable to the\npotential energy of the particle in the external field.",
"arxiv_id": "quant-ph/0407236",
"authors": [
"Yakir Aharonov",
"Jeeva Anandan",
"G. Jordan Maclay",
"Jun Suzuki"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.70.052114",
"journal_ref": "Phys. Rev. A 70, 052114 (2004)",
"title": "Model for Entangled States with Spin-Spin Interaction",
"url": "https://arxiv.org/abs/quant-ph/0407236"
},
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