Semiclassical chaos, the uncertainty principle, and quantum dissipation Metadata

Metadata describes a digital item, providing (if known) such information as creator, publisher, contents, size, relationship to other resources, and more. Metadata may also contain "preservation" components that help us to maintain the integrity of digital files over time.

Title

  • Main Title Semiclassical chaos, the uncertainty principle, and quantum dissipation

Creator

  • Author: Bonci, Luca
    Creator Type: Personal
    Creator Info: Università di Pisa; University of North Texas
  • Author: Roncaglia, Roberto
    Creator Type: Personal
    Creator Info: University of North Texas
  • Author: West, Bruce J.
    Creator Type: Personal
    Creator Info: University of North Texas
  • Author: Grigolini, Paolo
    Creator Type: Personal
    Creator Info: University of North Texas; Università di Pisa

Publisher

  • Name: American Physical Society
    Place of Publication: [College Park, Maryland]

Date

  • Creation: 1992-06-15

Language

  • English

Description

  • Physical Description: 11 p.
  • Content Description: Article on semiclassical chaos, the uncertainty principle, and quantum dissipation.

Subject

  • Keyword: Wigner method
  • Keyword: von Neumann-Liouville equation
  • Keyword: quantum generating diffusion
  • Keyword: semiclassical chaos

Source

  • Journal: Physical Review A, 1992, College Park: American Physical Society, pp. 8490-8500

Citation

  • Publication Title: Physical Review A
  • Volume: 45
  • Issue: 12
  • Page Start: 8490
  • Page End: 8500
  • Peer Reviewed: True

Collection

  • Name: UNT Scholarly Works
    Code: UNTSW

Institution

  • Name: UNT College of Arts and Sciences
    Code: UNTCAS

Rights

  • Rights Access: public

Resource Type

  • Article

Format

  • Text

Identifier

  • DOI: 10.1103/PhysRevA.45.8490
  • Archival Resource Key: ark:/67531/metadc268887

Degree

  • Academic Department: Physics

Note

  • 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.