dorsal/arxiv
View SchemaGeneral Multimode Squeezed States
| Authors | Gan Qin, Ke-lin Wang, Tong-zhong Li |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0109020 |
| URL | https://arxiv.org/abs/quant-ph/0109020 |
Abstract
By the complex multimode Bogoliubov transformation, we obtain the general forms of squeeze operators and squeezed states including squeezed vacuum states, squeezed coherent states, squeezed Fock states and squeezed coherent Fock states, for a general multimode boson system. We decompose the squeezed operator into disentangling form in normal ordering to simplify the expressions of the squeezed states. We also calculate the statistical properties of the SS. Furthermore we prove that if it is non-degenerate, a Bogoliubov transformation matrix can be decomposed into three basic matrix, by which we can not only check the criterion of the minimum uncertainty state (MUS) found by Milburn, but also prove that except the special cases, any multimode squeezed state is MUS after the original creation and annihilation operators rotate properly. We also discuss some special cases of the three basic matrices. Finally we give an analytical results of a two-mode system as an example.
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"abstract": "By the complex multimode Bogoliubov transformation, we obtain the general\nforms of squeeze operators and squeezed states including squeezed vacuum\nstates, squeezed coherent states, squeezed Fock states and squeezed coherent\nFock states, for a general multimode boson system. We decompose the squeezed\noperator into disentangling form in normal ordering to simplify the expressions\nof the squeezed states. We also calculate the statistical properties of the SS.\nFurthermore we prove that if it is non-degenerate, a Bogoliubov transformation\nmatrix can be decomposed into three basic matrix, by which we can not only\ncheck the criterion of the minimum uncertainty state (MUS) found by Milburn,\nbut also prove that except the special cases, any multimode squeezed state is\nMUS after the original creation and annihilation operators rotate properly. We\nalso discuss some special cases of the three basic matrices. Finally we give an\nanalytical results of a two-mode system as an example.",
"arxiv_id": "quant-ph/0109020",
"authors": [
"Gan Qin",
"Ke-lin Wang",
"Tong-zhong Li"
],
"categories": [
"quant-ph"
],
"title": "General Multimode Squeezed States",
"url": "https://arxiv.org/abs/quant-ph/0109020"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "741c77d7-8a0b-4433-9bcc-7afd623331a5",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
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