dorsal/arxiv
View SchemaMulti-quantum eigenstates of a linear chain of coupled qubits
| Authors | C. J. Mewton, Z. Ficek |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0505206 |
| URL | https://arxiv.org/abs/quant-ph/0505206 |
| DOI | 10.1103/PhysRevA.71.060311 |
| Journal | Phys. Rev. A 71, 060311 (2005) |
Abstract
We present a technique to identify exact analytic expressions for the multi-quantum eigenstates of a linear chain of coupled qubits. A choice of Hilbert subspaces is described which allows an exact solution of the stationary Schr\"{o}dinger equation without imposing periodic boundary conditions and without neglecting end effects, fully including the dipole-dipole nearest-neighbor interaction between the atoms. The treatment is valid for an arbitrary coherent excitation in the atomic system, any number of atoms, any size of the chain relative to the resonant wavelength and arbitrary initial conditions of the atomic system. The procedure we develop is general enough to be adopted for the study of excitation in an arbitrary array of atoms including spin chains and one-dimensional Bose-Einstein condensates.
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"abstract": "We present a technique to identify exact analytic expressions for the\nmulti-quantum eigenstates of a linear chain of coupled qubits. A choice of\nHilbert subspaces is described which allows an exact solution of the stationary\nSchr\\\"{o}dinger equation without imposing periodic boundary conditions and\nwithout neglecting end effects, fully including the dipole-dipole\nnearest-neighbor interaction between the atoms. The treatment is valid for an\narbitrary coherent excitation in the atomic system, any number of atoms, any\nsize of the chain relative to the resonant wavelength and arbitrary initial\nconditions of the atomic system. The procedure we develop is general enough to\nbe adopted for the study of excitation in an arbitrary array of atoms including\nspin chains and one-dimensional Bose-Einstein condensates.",
"arxiv_id": "quant-ph/0505206",
"authors": [
"C. J. Mewton",
"Z. Ficek"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.71.060311",
"journal_ref": "Phys. Rev. A 71, 060311 (2005)",
"title": "Multi-quantum eigenstates of a linear chain of coupled qubits",
"url": "https://arxiv.org/abs/quant-ph/0505206"
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