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

Quantum diffusion in a fermionic bath.

Sudarson Sekhar Sinha1, Debasish Mondal, Bidhan Chandra Bag

  • 1Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700032, India.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 15, 2011
PubMed
Summary
This summary is machine-generated.

We present a quantum Brownian motion model for a particle in a fermionic bath. Quantization enhances particle displacement, while higher temperatures suppress it, offering insights into quantum transport.

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Area of Science:

  • Quantum mechanics
  • Condensed matter physics
  • Statistical mechanics

Background:

  • Quantum Brownian motion describes a quantum particle interacting with a bath of harmonic oscillators.
  • Understanding particle dynamics in fermionic baths is crucial for quantum transport phenomena.

Purpose of the Study:

  • To develop a theoretical framework for quantum Brownian motion in a fermionic bath.
  • To derive a quantum analog of the generalized Langevin equation.
  • To investigate the effects of quantization and temperature on particle displacement.

Main Methods:

  • Utilizing the spin coherent-state representation for noise operators.
  • Employing a canonical thermal distribution for associated c-numbers.
  • Deriving a quantum analog of the generalized Langevin equation.
  • Developing quantum correction equations for dispersion estimation.

Main Results:

  • A quantum analog of the generalized Langevin equation was derived, mapping the quantum problem to a classical setting.
  • Quantum diffusion equation for a free particle shows quantization enhances mean-square displacement.
  • Increased temperature leads to a suppression of mean-square displacement.

Conclusions:

  • The proposed scheme provides a method for analyzing quantum Brownian motion in fermionic baths.
  • Quantization generally enhances particle displacement, while temperature suppresses it.
  • The approach facilitates understanding diffusive transport and thermally activated processes in quantum systems.