Quantum dynamical correlations: Effective potential analytic continuation approach | Zendy

A. Horikoshi | Zendy; Kenichi Kinugawa | Zendy

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Quantum dynamical correlations: Effective potential analytic continuation approach

Author(s) -

A. Horikoshi,

Kenichi Kinugawa

Publication year - 2003

Publication title -

the journal of chemical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.071

H-Index - 357

eISSN - 1089-7690

pISSN - 0021-9606

DOI - 10.1063/1.1595638

Subject(s) - analytic continuation , dephasing , statistical physics , correlation function (quantum field theory) , quantum , quantum correlation , formalism (music) , function (biology) , imaginary time , oscillation (cell signaling) , continuation , quantum mechanics , quantum dynamics , physics , mathematics , mathematical analysis , quantum discord , computer science , chemistry , biology , art , musical , biochemistry , evolutionary biology , supersymmetric quantum mechanics , dielectric , visual arts , programming language

We propose a new quantum dynamics method called the effective potentialanalytic continuation (EPAC) to calculate the real time quantum correlationfunctions at finite temperature. The method is based on the effective actionformalism which includes the standard effective potential. The basic notions ofthe EPAC are presented for a one-dimensional double well system in comparisonwith the centroid molecular dynamics (CMD) and the exact real time quantumcorrelation function. It is shown that both the EPAC and the CMD well reproducethe exact short time behavior, while at longer time their results deviate fromthe exact one. The CMD correlation function damps rapidly with time because ofensemble dephasing. The EPAC correlation function, however, can reproduce thelong time oscillation inherent in the quantum double well systems. It is alsoshown that the EPAC correlation function can be improved toward the exactcorrelation function by means of the higher order derivative expansion of theeffective action.Comment: RevTeX4, 20 pages, 6 eps figure

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