dorsal/arxiv
View SchemaEffective potential analytic continuation approach for real time quantum correlation functions involving nonlinear operators
| Authors | Atsushi Horikoshi, Kenichi Kinugawa |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0505042 |
| URL | https://arxiv.org/abs/quant-ph/0505042 |
| DOI | 10.1063/1.1888576 |
| Journal | J.Chem.Phys. 122 (2005) 174104 |
Abstract
We apply the effective potential analytic continuation (EPAC) method to the calculation of real time quantum correlation functions involving operators nonlinear in the position operator $\hat{q}$. For a harmonic system the EPAC method provides the exact correlation function at all temperature ranges, while the other quantum dynamics methods, the centroid molecular dynamics and the ring polymer molecular dynamics, become worse at lower temperature. For an asymmetric anharmonic system, the EPAC correlation function is in very good agreement with the exact one at $t=0$. When the time increases from zero, the EPAC method gives good coincidence with the exact result at lower temperature. Finally, we propose a simplified version of the EPAC method to reduce the computational cost required for the calculation of the standard effective potential.
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"abstract": "We apply the effective potential analytic continuation (EPAC) method to the\ncalculation of real time quantum correlation functions involving operators\nnonlinear in the position operator $\\hat{q}$. For a harmonic system the EPAC\nmethod provides the exact correlation function at all temperature ranges, while\nthe other quantum dynamics methods, the centroid molecular dynamics and the\nring polymer molecular dynamics, become worse at lower temperature. For an\nasymmetric anharmonic system, the EPAC correlation function is in very good\nagreement with the exact one at $t=0$. When the time increases from zero, the\nEPAC method gives good coincidence with the exact result at lower temperature.\nFinally, we propose a simplified version of the EPAC method to reduce the\ncomputational cost required for the calculation of the standard effective\npotential.",
"arxiv_id": "quant-ph/0505042",
"authors": [
"Atsushi Horikoshi",
"Kenichi Kinugawa"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech",
"hep-th"
],
"doi": "10.1063/1.1888576",
"journal_ref": "J.Chem.Phys. 122 (2005) 174104",
"title": "Effective potential analytic continuation approach for real time quantum correlation functions involving nonlinear operators",
"url": "https://arxiv.org/abs/quant-ph/0505042"
},
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