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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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Published on: August 2, 2019

Energy transport in closed quantum systems.

G A Levin1, W A Jones, K Walczak

  • 1Propulsion Directorate, Air Force Research Laboratory, Wright-Patterson Air Force Base, Ohio 45433, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 17, 2012
PubMed
Summary
This summary is machine-generated.

We explored quantum advection modes (QAMs) in closed quantum systems. Some QAMs drive energy flow, while others create a probability backflow, differing from conventional transport models.

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Area of Science:

  • Quantum physics
  • Statistical mechanics
  • Condensed matter theory

Background:

  • Energy transport in closed quantum systems is crucial for understanding quantum phenomena.
  • Stochastic perturbations introduce complex dynamics and energy flow.
  • Quantum advection modes (QAMs) offer a new framework for describing fluxes.

Purpose of the Study:

  • To investigate energy and probability transport in quantum systems driven by stochastic perturbations.
  • To analyze the role of quantum advection modes (QAMs) in energy flux.
  • To determine correlations between QAMs and the direction/magnitude of fluxes.

Main Methods:

  • Numerical solution of the time-dependent Schrödinger equation for a single particle in a perturbed parabolic potential.
  • Analysis of quantum advection modes (QAMs) derived from the density matrix off-diagonal elements.
  • Correlation analysis between QAMs and energy/probability fluxes.

Main Results:

  • Quantum advection modes (QAMs) were identified as key to describing probability and energy fluxes.
  • Some QAMs positively correlate with energy flow direction.
  • Other QAMs exhibit negative correlation, leading to probability backflow.

Conclusions:

  • The study reveals a novel mechanism for energy transport in quantum systems distinct from continuous spectrum models.
  • QAMs provide a powerful tool for analyzing transport phenomena in discrete quantum systems.
  • The findings challenge conventional understanding of energy and probability flow in quantum mechanics.