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

Optimal quantum pumps.

J E Avron1, A Elgart, G M Graf

  • 1Department of Physics, Technion, 32000 Haifa, Israel.

Physical Review Letters
|December 12, 2001
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

Optically induced rotation of an exciton spin in a semiconductor quantum dot.

Physical review letters·2011
Same author

Entanglement on demand through time reordering.

Physical review letters·2008
Same author

Comment on "optimal stroke patterns for Purcell's three-link swimmer".

Physical review letters·2008
Same author

Adiabatic swimming in an ideal quantum gas.

Physical review letters·2006
Same author

Optimal swimming at low Reynolds numbers.

Physical review letters·2004
Same author

Optimal rotations of deformable bodies and orbits in magnetic fields.

Physical review letters·2004
Same journal

Erratum: Bacterial Turbulence at Compressible Fluid Interfaces [Phys. Rev. Lett. 136, 138301 (2026)].

Physical review letters·2026
Same journal

Unveiling Light-Quark Yukawa Flavor Structure via Dihadron Fragmentation at Lepton Colliders.

Physical review letters·2026
Same journal

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols.

Physical review letters·2026
Same journal

Topological Transition and Emergence of Elasticity of Dislocation in Skyrmion Lattice: Beyond Kittel's Magnetic-Polar Analogy.

Physical review letters·2026
Same journal

Pound-Drever-Hall Method for Superconducting-Qubit Readout.

Physical review letters·2026
Same journal

Coupling a ^{73}Ge Nuclear Spin to an Electrostatically Defined Quantum Dot in Silicon.

Physical review letters·2026
See all related articles

We introduce the energy shift matrix to analyze adiabatic quantum pumps operating on short timescales. Optimal pumps minimize dissipation, exhibit noiseless charge transport, and are geometrically characterized, with applications to the Hall effect.

Area of Science:

  • Quantum mechanics
  • Condensed matter physics
  • Quantum transport

Background:

  • Adiabatic quantum pumps are crucial for understanding charge transport.
  • Characterizing pump behavior on short timescales is essential for practical applications.
  • Existing models often overlook dynamics governed by energy shifts.

Purpose of the Study:

  • To introduce and analyze the energy shift matrix for adiabatic quantum pumps.
  • To establish a lower bound on dissipation in quantum channels.
  • To define and characterize optimal quantum pumps.

Main Methods:

  • Analysis of adiabatic quantum pumps in the short-timescale regime.
  • Introduction of the energy shift matrix as a dual to Wigner's time delay.

Related Experiment Videos

  • Derivation of a general lower bound on dissipation.
  • Geometric characterization of optimal pumps.

    • Main Results:

    • The energy shift matrix governs charge transport, dissipation, noise, and entropy production.
    • A general lower bound on dissipation in quantum channels is proven.
    • Optimal pumps are identified as those saturating the dissipation bound.
    • Optimal pumps are shown to be noiseless and transport integral charge per cycle.

    Conclusions:

    • The energy shift matrix provides a novel framework for studying quantum pumps.
    • Optimal quantum pump designs can achieve minimal dissipation and perfect charge transport.
    • The findings have implications for quantum devices and understanding phenomena like the Hall effect.