dorsal/arxiv
View SchemaSpontaneous Symmetry Breaking, Off-diagonal Long-range Order, and Nucleation of Quantum State
| Authors | Yu Shi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9702026 |
| URL | https://arxiv.org/abs/quant-ph/9702026 |
Abstract
Spontaneous symmetry breaking originats in quantum mechanical measurement of the relevant observable defining the physical situation, order parameter is the average of this observable. A modification is made on the random-phase postulate validating the ensemble description. Off-diagonal long-range order, macroscopic wavefunction and interference effects in many-particle systems present when there is a so-called nucleation of quantum state, which is proposed to be the origin of spontaneous gauge symmetry breaking, for which nonconservation of particle number N is not essential. The approach based on nonvanishing expectation of the field operator, $<\hat{\psi}(\vec{r})>$, is only a coherent-state approximation in thermodynamic limit. When $N \to \infty$, this approach is equivalent, but $<\hat{\psi}(\vec{r})>$ is not the macroscopic wavefunction.
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"abstract": "Spontaneous symmetry breaking originats in quantum mechanical measurement of\nthe relevant observable defining the physical situation, order parameter is the\naverage of this observable. A modification is made on the random-phase\npostulate validating the ensemble description. Off-diagonal long-range order,\nmacroscopic wavefunction and interference effects in many-particle systems\npresent when there is a so-called nucleation of quantum state, which is\nproposed to be the origin of spontaneous gauge symmetry breaking, for which\nnonconservation of particle number N is not essential. The approach based on\nnonvanishing expectation of the field operator, $\u003c\\hat{\\psi}(\\vec{r})\u003e$, is\nonly a coherent-state approximation in thermodynamic limit. When $N \\to\n\\infty$, this approach is equivalent, but $\u003c\\hat{\\psi}(\\vec{r})\u003e$ is not the\nmacroscopic wavefunction.",
"arxiv_id": "quant-ph/9702026",
"authors": [
"Yu Shi"
],
"categories": [
"quant-ph",
"cond-mat"
],
"title": "Spontaneous Symmetry Breaking, Off-diagonal Long-range Order, and Nucleation of Quantum State",
"url": "https://arxiv.org/abs/quant-ph/9702026"
},
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