dorsal/arxiv
View SchemaApplications of Coherent Population Transfer to Quantum Information Processing
| Authors | R. G. Beausoleil, W. J. Munro, T. P. Spiller |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302109 |
| URL | https://arxiv.org/abs/quant-ph/0302109 |
| DOI | 10.1080/09500340408232474 |
| Journal | Topic Review in JMO 51, 1559-1601 (2004) |
Abstract
We develop a theoretical framework for the exploration of quantum mechanical coherent population transfer phenomena, with the ultimate goal of constructing faithful models of devices for classical and quantum information processing applications. We begin by outlining a general formalism for weak-field quantum optics in the Schr\"{o}dinger picture, and we include a general phenomenological representation of Lindblad decoherence mechanisms. We use this formalism to describe the interaction of a single stationary multilevel atom with one or more propagating classical or quantum laser fields, and we describe in detail several manifestations and applications of electromagnetically induced transparency. In addition to providing a clear description of the nonlinear optical characteristics of electromagnetically transparent systems that lead to ``ultraslow light,'' we verify that -- in principle -- a multi-particle atomic or molecular system could be used as either a low power optical switch or a quantum phase shifter. However, we demonstrate that the presence of significant dephasing effects destroys the induced transparency, and that increasing the number of particles weakly interacting with the probe field only reduces the nonlinearity further. Finally, a detailed calculation of the relative quantum phase induced by a system of atoms on a superposition of spatially distinct Fock states predicts that a significant quasi-Kerr nonlinearity and a low entropy cannot be simultaneously achieved in the presence of arbitrary spontaneous emission rates. Within our model, we identify the constraints that need to be met for this system to act as a one-qubit and a two-qubit conditional phase gate.
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"abstract": "We develop a theoretical framework for the exploration of quantum mechanical\ncoherent population transfer phenomena, with the ultimate goal of constructing\nfaithful models of devices for classical and quantum information processing\napplications. We begin by outlining a general formalism for weak-field quantum\noptics in the Schr\\\"{o}dinger picture, and we include a general\nphenomenological representation of Lindblad decoherence mechanisms. We use this\nformalism to describe the interaction of a single stationary multilevel atom\nwith one or more propagating classical or quantum laser fields, and we describe\nin detail several manifestations and applications of electromagnetically\ninduced transparency. In addition to providing a clear description of the\nnonlinear optical characteristics of electromagnetically transparent systems\nthat lead to ``ultraslow light,\u0027\u0027 we verify that -- in principle -- a\nmulti-particle atomic or molecular system could be used as either a low power\noptical switch or a quantum phase shifter. However, we demonstrate that the\npresence of significant dephasing effects destroys the induced transparency,\nand that increasing the number of particles weakly interacting with the probe\nfield only reduces the nonlinearity further. Finally, a detailed calculation of\nthe relative quantum phase induced by a system of atoms on a superposition of\nspatially distinct Fock states predicts that a significant quasi-Kerr\nnonlinearity and a low entropy cannot be simultaneously achieved in the\npresence of arbitrary spontaneous emission rates. Within our model, we identify\nthe constraints that need to be met for this system to act as a one-qubit and a\ntwo-qubit conditional phase gate.",
"arxiv_id": "quant-ph/0302109",
"authors": [
"R. G. Beausoleil",
"W. J. Munro",
"T. P. Spiller"
],
"categories": [
"quant-ph"
],
"doi": "10.1080/09500340408232474",
"journal_ref": "Topic Review in JMO 51, 1559-1601 (2004)",
"title": "Applications of Coherent Population Transfer to Quantum Information Processing",
"url": "https://arxiv.org/abs/quant-ph/0302109"
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