dorsal/arxiv
View SchemaMarginal and correlation distribution functions in the squeezed-states representation
| Authors | Marcelo A. Marchiolli, Salomon S. Mizrahi, Victor V. Dodonov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9910083 |
| URL | https://arxiv.org/abs/quant-ph/9910083 |
| DOI | 10.1088/0305-4470/32/49/311 |
Abstract
Here we consider the Husimi function P for the squeezed states and calculate the marginal and correlation distribution functions when P is projected onto the photon number states. According to the value of the squeezing parameter one verifies the occurence of oscillations and beats as already appointed in the literature. We verify that these phenomena are entirely contained in the correlation function. In particular, we show that since Husimi and its marginal distribution functions satisfy partial differential equations where the squeeze parameter plays the role of time, the solutions (the squeezed functions obtained from initial unsqueezed functions) can be expressed by means of kernels responsible for the propagation of squeezing. From the calculational point of view, this method presents advantages for calculating the marginal distribution functions (compared to a direct integration over one of the two phase-space variables of P) since one can use the symmetry properties of the differential equations.
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"abstract": "Here we consider the Husimi function P for the squeezed states and calculate\nthe marginal and correlation distribution functions when P is projected onto\nthe photon number states. According to the value of the squeezing parameter one\nverifies the occurence of oscillations and beats as already appointed in the\nliterature. We verify that these phenomena are entirely contained in the\ncorrelation function. In particular, we show that since Husimi and its marginal\ndistribution functions satisfy partial differential equations where the squeeze\nparameter plays the role of time, the solutions (the squeezed functions\nobtained from initial unsqueezed functions) can be expressed by means of\nkernels responsible for the propagation of squeezing. From the calculational\npoint of view, this method presents advantages for calculating the marginal\ndistribution functions (compared to a direct integration over one of the two\nphase-space variables of P) since one can use the symmetry properties of the\ndifferential equations.",
"arxiv_id": "quant-ph/9910083",
"authors": [
"Marcelo A. Marchiolli",
"Salomon S. Mizrahi",
"Victor V. Dodonov"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/32/49/311",
"title": "Marginal and correlation distribution functions in the squeezed-states representation",
"url": "https://arxiv.org/abs/quant-ph/9910083"
},
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