• myGriffith
    • Staff portal
    • Contact Us⌄
      • Future student enquiries 1800 677 728
      • Current student enquiries 1800 154 055
      • International enquiries +61 7 3735 6425
      • General enquiries 07 3735 7111
      • Online enquiries
      • Staff phonebook
    View Item 
    •   Home
    • Griffith Research Online
    • Journal articles
    • View Item
    • Home
    • Griffith Research Online
    • Journal articles
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

  • All of Griffith Research Online
    • Communities & Collections
    • Authors
    • By Issue Date
    • Titles
  • This Collection
    • Authors
    • By Issue Date
    • Titles
  • Statistics

  • Most Popular Items
  • Statistics by Country
  • Most Popular Authors
  • Support

  • Contact us
  • FAQs
  • Admin login

  • Login
  • Comment on “Quantum phase for an arbitrary system with finite-dimensional Hilbert space”

    Thumbnail
    View/Open
    82004_1.pdf (104.4Kb)
    Author(s)
    Hall, Michael JW
    Pegg, David T
    Griffith University Author(s)
    Pegg, David T.
    Hall, Michael J.
    Year published
    2012
    Metadata
    Show full item record
    Abstract
    A construction of covariant quantum phase observables, for Hamiltonians with a finite number of energy eigenvalues, has been recently given by?D. Arsenovic et al. [ Phys. Rev. A 85 044103 (2012)]. For Hamiltonians generating periodic evolution, we show that this construction is just a simple rescaling of the known canonical "time" or "age" observable, with the period T rescaled to 2p. Further, for Hamiltonians generating quasiperiodic evolution, we note that the construction leads to a phase observable having several undesirable features, including (i) having a trivially uniform probability density for any state of the system, ...
    View more >
    A construction of covariant quantum phase observables, for Hamiltonians with a finite number of energy eigenvalues, has been recently given by?D. Arsenovic et al. [ Phys. Rev. A 85 044103 (2012)]. For Hamiltonians generating periodic evolution, we show that this construction is just a simple rescaling of the known canonical "time" or "age" observable, with the period T rescaled to 2p. Further, for Hamiltonians generating quasiperiodic evolution, we note that the construction leads to a phase observable having several undesirable features, including (i) having a trivially uniform probability density for any state of the system, (ii) not reducing to the periodic case in an appropriate limit, and (iii) not having any clear generalization to an infinite energy spectrum. In contrast, we note that a covariant time observable has been previously defined for such Hamiltonians, which avoids these features. We also show how this "quasiperiodic" time observable can be represented as the well-defined limit of a sequence of periodic time observables.
    View less >
    Journal Title
    Physical Review A
    Volume
    86
    Issue
    5
    DOI
    https://doi.org/10.1103/PhysRevA.86.056101
    Copyright Statement
    © 2012 American Physical Society. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
    Subject
    Mathematical sciences
    Physical sciences
    Quantum information, computation and communication
    Quantum physics not elsewhere classified
    Chemical sciences
    Publication URI
    http://hdl.handle.net/10072/48600
    Collection
    • Journal articles

    Footer

    Disclaimer

    • Privacy policy
    • Copyright matters
    • CRICOS Provider - 00233E

    Tagline

    • Gold Coast
    • Logan
    • Brisbane - Queensland, Australia
    First Peoples of Australia
    • Aboriginal
    • Torres Strait Islander