dorsal/arxiv
View SchemaComplete eigenstates of identical qubits arranged in regular polygons
| Authors | Terry Rudolph, Itay Yavin, Helen Freedhoff |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0206067 |
| URL | https://arxiv.org/abs/quant-ph/0206067 |
| DOI | 10.1103/PhysRevA.69.013815 |
| Journal | Phys. Rev. A, 69, 013815 (2004) |
Abstract
We calculate the energy eigenvalues and eigenstates corresponding to coherent single and multiple excitations of an array of N identical qubits or two-level atoms (TLA's) arranged on the vertices of a regular polygon. We assume only that the coupling occurs via an exchange interaction which depends on the separation between the qubits. We include the interactions between all pairs of qubits, and our results are valid for arbitrary distances relative to the radiation wavelength. To illustrate the usefulness of these states, we plot the distance dependence of the decay rates of the n=2 (biexciton) eigenstates of an array of 4 qubits, and tabulate the biexciton eigenvalues and eigenstates, and absorption frequencies, line widths, and relative intensities for polygons consisting of N=2,...,9 qubits in the long-wavelength limit.
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"abstract": "We calculate the energy eigenvalues and eigenstates corresponding to coherent\nsingle and multiple excitations of an array of N identical qubits or two-level\natoms (TLA\u0027s) arranged on the vertices of a regular polygon. We assume only\nthat the coupling occurs via an exchange interaction which depends on the\nseparation between the qubits. We include the interactions between all pairs of\nqubits, and our results are valid for arbitrary distances relative to the\nradiation wavelength. To illustrate the usefulness of these states, we plot the\ndistance dependence of the decay rates of the n=2 (biexciton) eigenstates of an\narray of 4 qubits, and tabulate the biexciton eigenvalues and eigenstates, and\nabsorption frequencies, line widths, and relative intensities for polygons\nconsisting of N=2,...,9 qubits in the long-wavelength limit.",
"arxiv_id": "quant-ph/0206067",
"authors": [
"Terry Rudolph",
"Itay Yavin",
"Helen Freedhoff"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.69.013815",
"journal_ref": "Phys. Rev. A, 69, 013815 (2004)",
"title": "Complete eigenstates of identical qubits arranged in regular polygons",
"url": "https://arxiv.org/abs/quant-ph/0206067"
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