E L Sibert III et al 2008 New J. Phys. 10 053016 doi:10.1088/1367-2630/10/5/053016
Quantum localization through interference on homoclinic and heteroclinic circuits
E L Sibert III1,3, E Vergini2, R M Benito2 and F Borondo1,4
Show affiliationsLocalization effects due to scarring constitute one of the clearest indications of the relevance of interference in the transport of quantum probability density along quantized closed circuits in phase space. The corresponding path can be obvious, such as the scarring periodic orbit (PO) itself which produces time recurrences at multiples of the period. However, there are others more elaborate which only close asymptotically, for example, those associated with homoclinic and heteroclinic orbits. In this paper, we demonstrate that these circuits are also able to produce recurrences but at (semiclassically) longer times, of the order of the Ehrenfest time. The most striking manifestation of this phenomenon is the accumulation of quantum probability density along the corresponding circuits. The discussion is illustrated with an example corresponding to a typical PO of the quartic two-dimensional oscillator.
- PACS
-
05.45.Mt Quantum chaos; semiclassical methods
- Subjects
- Dates
-
Issue 5 (May 2008)
Received 28 January 2008
Published 13 May 2008
-
Quantum localization through interference on homoclinic and heteroclinic circuits
E L Sibert III et al 2008 New J. Phys. 10 053016
-
Final report on comparison EURAMET.M.P-S6 of PTB and INTI pressure standards for the range 1.5 kPa to 300 kPa of absolute gas pressure
W Sabuga and J Forastieri 2008 Metrologia 45 07020
-
New modular invariance in the
= 1* theory, operator mixings and supergravity singularities
Ofer Aharony et al JHEP06(2000)026
-
On anthropic solutions of the cosmological constant problem
Tom Banks et al JHEP01(2001)031
-
Transcendentality and crossing
Niklas Beisert et al J. Stat. Mech. (2007) P01021
-
Mechanisms of forward laser harmonic emission from thin overdense plasmas
H George et al 2009 New J. Phys. 11 113028
-
CCM.FF-K5.a: Comparison of flow rates for natural gas at high pressure
Dietrich Dopheide 2006 Metrologia 43 07001
-
Reconstructing the properties of dark energy from recent observations
Puxun Wu and Hongwei Yu JCAP10(2007)014
-
Vacuum properties of non-symmetric gravity in de Sitter space
Tomas Janssen and Tomislav Prokopec JCAP05(2007)010
-
Magnetic memory in discrete media observed by coherent soft x-ray resonant scattering
G Beutier et al 2009 New J. Phys. 11 113026
Users also read
What's this?- In situ investigation of spinodal decomposition in hypermonotectic Al–Bi and Al–Bi–Zn alloys
- Phase transitions far from equilibrium in wet granular matter
- A novel method achieving ultra-high geometrical resolution in scanning tunnelling microscopy
Related review articles
What's this?- Investigation of intermittency and generalized self-similarity of turbulent boundary layers in laboratory and magnetospheric plasmas: towards a quantitative definition of plasma transport features
- Spectral problems in open quantum chaos
- Integral characteristics: a key to understanding structure formation in stochastic dynamic systems