dorsal/arxiv
View SchemaHillery-type squeezing in fan-states
| Authors | Minh Duc Truong, Ba An Nguyen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0403201 |
| URL | https://arxiv.org/abs/quant-ph/0403201 |
Abstract
We study the Hillery-type, i.e. $N$-th power, amplitude squeezing in the fan-state $| \xi ;2k,f>_{F}$ characterized by $\xi \in \mathcal{C}$, $k=1,2,3,...$ and $f$ a nonlinear operator-valued function. We show that for a given $k$ there exists a critical $\xi_c$ such that for $0<|\xi|\leq|\xi_c|$ squeezing occurs simultaneously in $2k$ directions for the powers $N$ which are a multiple of $2k$. This result does not depend on the concrete form of $f$, i.e. it holds true for both $f\equiv 1$ and $f\neq 1$. However, for $f\neq 1$, which is realized here in the ion trap context, the squeezing directions as well as the magnitude of $\xi$ can be controlled by adjusting the system driving parameters.
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"abstract": "We study the Hillery-type, i.e. $N$-th power, amplitude squeezing in the\nfan-state $| \\xi ;2k,f\u003e_{F}$ characterized by $\\xi \\in \\mathcal{C}$,\n$k=1,2,3,...$ and $f$ a nonlinear operator-valued function. We show that for a\ngiven $k$ there exists a critical $\\xi_c$ such that for $0\u003c|\\xi|\\leq|\\xi_c|$\nsqueezing occurs simultaneously in $2k$ directions for the powers $N$ which are\na multiple of $2k$. This result does not depend on the concrete form of $f$,\ni.e. it holds true for both $f\\equiv 1$ and $f\\neq 1$. However, for $f\\neq 1$,\nwhich is realized here in the ion trap context, the squeezing directions as\nwell as the magnitude of $\\xi$ can be controlled by adjusting the system\ndriving parameters.",
"arxiv_id": "quant-ph/0403201",
"authors": [
"Minh Duc Truong",
"Ba An Nguyen"
],
"categories": [
"quant-ph"
],
"title": "Hillery-type squeezing in fan-states",
"url": "https://arxiv.org/abs/quant-ph/0403201"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "d4121c0a-b6d6-42eb-9d25-e566460c1c85",
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"variant": "snapshot-2026-03-01",
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