Semiclassical chaos, the uncertainty principle, and quantum dissipation Metadata
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- Main Title Semiclassical chaos, the uncertainty principle, and quantum dissipation
Author: Bonci, LucaCreator Type: PersonalCreator Info: Università di Pisa; University of North Texas
Author: Roncaglia, RobertoCreator Type: PersonalCreator Info: University of North Texas
Author: West, Bruce J.Creator Type: PersonalCreator Info: University of North Texas
Author: Grigolini, PaoloCreator Type: PersonalCreator Info: University of North Texas; Università di Pisa
Name: American Physical SocietyPlace of Publication: [College Park, Maryland]
- Creation: 1992-06-15
- Physical Description: 11 p.
- Content Description: Article on semiclassical chaos, the uncertainty principle, and quantum dissipation.
- Keyword: Wigner method
- Keyword: von Neumann-Liouville equation
- Keyword: quantum generating diffusion
- Keyword: semiclassical chaos
- Journal: Physical Review A, 1992, College Park: American Physical Society, pp. 8490-8500
- Publication Title: Physical Review A
- Volume: 45
- Issue: 12
- Page Start: 8490
- Page End: 8500
- Peer Reviewed: True
Name: UNT Scholarly WorksCode: UNTSW
Name: UNT College of Arts and SciencesCode: UNTCAS
- Rights Access: public
- DOI: 10.1103/PhysRevA.45.8490
- Archival Resource Key: ark:/67531/metadc268887
- Academic Department: Physics
- Display Note: Copyright 1992 American Physical Society. The following article appeared in Physical Review A, 45:12, http://link.aps.org/doi/10.1103/PhysRevA.45.8490
- Display Note: Abstract: Using the Wigner method, it is shown that a classical-like equation of motion for a quasiprobability distribution ρᴡ can be built up, ∂ρᴡ/∂t=(Lcl+LQGD)ρᴡ, which is rigorously equivalent to the quantum von Neumann-Liouville equation. The operator Lcl is equivalent to integrating classical trajectories, which are then averaged over an initial distribution, broadened so as to fulfill the requirements of the quantum uncertainty principle. It is shown that this operator produces semiclassical chaos and is responsible for quantum irreversibility and the fast growth of quantum uncertainty. Carrying out explicit calculations for a spin-boson Hamiltonian, the joint action of Lcl and LQGD is illustrated. It is shown that the latter operator LQGD (where QGD stands for quantum generating diffusion), makes the 1/2-spin system "remember" its quantum nature, and competes with the irreversibility induced by the former operator. Some ambiguous aspects of "irreversibility" and "growth of quantum fluctuations" as indicators of semiclassical chaos are discussed.