dorsal/arxiv
View SchemaQuantum dynamical correlations: Effective potential analytic continuation approach
| Authors | Atsushi Horikoshi, Kenichi Kinugawa |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0308085 |
| URL | https://arxiv.org/abs/quant-ph/0308085 |
| DOI | 10.1063/1.1595638 |
| Journal | J.Chem.Phys. 119 (2003) 4629-4640 |
Abstract
We propose a new quantum dynamics method called the effective potential analytic continuation (EPAC) to calculate the real time quantum correlation functions at finite temperature. The method is based on the effective action formalism which includes the standard effective potential. The basic notions of the EPAC are presented for a one-dimensional double well system in comparison with the centroid molecular dynamics (CMD) and the exact real time quantum correlation function. It is shown that both the EPAC and the CMD well reproduce the exact short time behavior, while at longer time their results deviate from the exact one. The CMD correlation function damps rapidly with time because of ensemble dephasing. The EPAC correlation function, however, can reproduce the long time oscillation inherent in the quantum double well systems. It is also shown that the EPAC correlation function can be improved toward the exact correlation function by means of the higher order derivative expansion of the effective action.
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"abstract": "We propose a new quantum dynamics method called the effective potential\nanalytic continuation (EPAC) to calculate the real time quantum correlation\nfunctions at finite temperature. The method is based on the effective action\nformalism which includes the standard effective potential. The basic notions of\nthe EPAC are presented for a one-dimensional double well system in comparison\nwith the centroid molecular dynamics (CMD) and the exact real time quantum\ncorrelation function. It is shown that both the EPAC and the CMD well reproduce\nthe exact short time behavior, while at longer time their results deviate from\nthe exact one. The CMD correlation function damps rapidly with time because of\nensemble dephasing. The EPAC correlation function, however, can reproduce the\nlong time oscillation inherent in the quantum double well systems. It is also\nshown that the EPAC correlation function can be improved toward the exact\ncorrelation function by means of the higher order derivative expansion of the\neffective action.",
"arxiv_id": "quant-ph/0308085",
"authors": [
"Atsushi Horikoshi",
"Kenichi Kinugawa"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech",
"physics.chem-ph"
],
"doi": "10.1063/1.1595638",
"journal_ref": "J.Chem.Phys. 119 (2003) 4629-4640",
"title": "Quantum dynamical correlations: Effective potential analytic continuation approach",
"url": "https://arxiv.org/abs/quant-ph/0308085"
},
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