Quantal Cumulant Dynamics for Dissipative Systems

Journal Article · Wed Dec 26 00:00:00 EST 2007 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.2836007· OSTI ID:21049444

Shigeta, Yasuteru ^[1]

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1. Department of Physics, Graduate School of Pure and Applied Science, Tsukuba University, Tennodai 1-1-1, Ibaraki 305-8571 (Japan)

We develop a quantal cumulant dynamics method for the quantum tunneling in dissipative environment. Reduced equations of motion of classical and quantal cumulant variables without bath degrees of freedom are derived. We observed suppression of the tunneling that depends on the sign of a friction constant for an Ohmic approximation and on the magnitude of a bath frequency for a single bath mode approximation. A possible mechanism of the suppression is explored by analyzing an effective quantal potential of the tunneling path.

• OSTI ID: 21049444
• Journal Information: AIP Conference Proceedings, Vol. 963, Issue 2; Conference: ICCMSE 2007: International conference on computational methods in science and engineering, Corfu (Greece), 25-30 Sep 2007; Other Information: DOI: 10.1063/1.2836007; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APPROXIMATIONS
DEGREES OF FREEDOM
EQUATIONS OF MOTION
FRICTION
POTENTIALS
QUANTUM MECHANICS
TUNNEL EFFECT