Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Duality relation for quantum ratchets.

J Peguiron1, M Grifoni

  • 1Kavli Institute of Nanoscience, Delft University of Technology, Lorentzweg 1, 2628 CJ Delft, The Netherlands.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 9, 2005
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Fabry-Pérot Oscillations in Correlated Carbon Nanotubes.

Physical review letters·2020
Same author

The effect of residual hydrocarbons in soil following oil spillages on the growth of Zea mays plants.

Environmental pollution (Barking, Essex : 1987)·2020
Same author

Shaping Electron Wave Functions in a Carbon Nanotube with a Parallel Magnetic Field.

Physical review letters·2019
Same author

Publisher Correction: Probing the strongly driven spin-boson model in a superconducting quantum circuit.

Nature communications·2018
Same author

Probing the strongly driven spin-boson model in a superconducting quantum circuit.

Nature communications·2018
Same author

Secondary Electron Interference from Trigonal Warping in Clean Carbon Nanotubes.

Physical review letters·2016

A novel duality maps quantum Brownian motion to a tight-binding model, revealing how dissipation affects particle transport. This connection helps understand quantum transport and rectification in ratchet potentials under varying conditions.

Area of Science:

  • Quantum mechanics
  • Condensed matter physics
  • Statistical mechanics

Background:

  • Quantum Brownian motion describes particle dynamics in a heat bath.
  • Ratchet potentials create directed motion from random fluctuations.
  • Tight-binding models simulate electron behavior in materials.

Purpose of the Study:

  • To establish a duality relation between quantum Brownian particle dynamics and driven dissipative tight-binding models.
  • To investigate quantum transport and rectification phenomena in tilted ratchet potentials using this duality.
  • To explore the impact of dissipation strength, adiabatic driving, and temperature on transport properties.

Main Methods:

  • Establishing a duality relation connecting weak and strong dissipation regimes between two different models.

Related Experiment Videos

  • Analyzing linear mobility to infer ground-state delocalization.
  • Investigating ratchet current reversals and potential shape dependence.

    • Main Results:

    • A duality relation is found between quantum Brownian particle dynamics and driven dissipative tight-binding models.
    • Weak dissipation in one model corresponds to strong dissipation in the other, and vice versa.
    • Ground-state delocalization is inferred for weak dissipation from linear mobility.
    • Reversals in ratchet current are observed due to adiabatic driving and temperature.
    • The dependence of ratchet current on potential shape is analyzed.

    Conclusions:

    • The duality relation provides a powerful tool for studying quantum transport in ratchet potentials.
    • Dissipation plays a crucial role in determining transport and rectification properties.
    • Adiabatic driving and temperature can significantly alter quantum transport behavior.