dorsal/arxiv
View SchemaQuantum noise and mixedness of a pumped dissipative non-linear oscillator
| Authors | Jiri Bajer, Adam Miranowicz, Mateusz Andrzejewski |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0407237 |
| URL | https://arxiv.org/abs/quant-ph/0407237 |
| DOI | 10.1088/1464-4266/6/10/002 |
| Journal | J. Optics B 6, 387-395 (2004) |
Abstract
Evolutions of quantum noise, characterized by quadrature squeezing parameter and Fano factor, and of mixedness, quantified by quantum von Neumann and linear entropies, of a pumped dissipative non-linear oscillator are studied. The model can describe a signal mode interacting with a thermal reservoir in a parametrically pumped cavity with a Kerr non-linearity. It is discussed that the initial pure states, including coherent states, Fock states, and finite superpositions of coherent states evolve into the same steady mixed state as verified by the quantum relative entropy and the Bures metric. It is shown analytically and verified numerically that the steady state can be well approximated by a nonclassical Gaussian state exhibiting quadrature squeezing and sub-Poissonian statistics for the cold thermal reservoir. A rapid increase is found in the mixedness, especially for the initial Fock states and superpositions of coherent states, during a very short time interval, and then for longer evolution times a decrease in the mixedness to the same, for all the initial states, and relatively low value of the nonclassical Gaussian state.
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"abstract": "Evolutions of quantum noise, characterized by quadrature squeezing parameter\nand Fano factor, and of mixedness, quantified by quantum von Neumann and linear\nentropies, of a pumped dissipative non-linear oscillator are studied. The model\ncan describe a signal mode interacting with a thermal reservoir in a\nparametrically pumped cavity with a Kerr non-linearity. It is discussed that\nthe initial pure states, including coherent states, Fock states, and finite\nsuperpositions of coherent states evolve into the same steady mixed state as\nverified by the quantum relative entropy and the Bures metric. It is shown\nanalytically and verified numerically that the steady state can be well\napproximated by a nonclassical Gaussian state exhibiting quadrature squeezing\nand sub-Poissonian statistics for the cold thermal reservoir. A rapid increase\nis found in the mixedness, especially for the initial Fock states and\nsuperpositions of coherent states, during a very short time interval, and then\nfor longer evolution times a decrease in the mixedness to the same, for all the\ninitial states, and relatively low value of the nonclassical Gaussian state.",
"arxiv_id": "quant-ph/0407237",
"authors": [
"Jiri Bajer",
"Adam Miranowicz",
"Mateusz Andrzejewski"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1464-4266/6/10/002",
"journal_ref": "J. Optics B 6, 387-395 (2004)",
"title": "Quantum noise and mixedness of a pumped dissipative non-linear oscillator",
"url": "https://arxiv.org/abs/quant-ph/0407237"
},
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