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Excitation Dynamics in Chain-Mapped Environments.

Dario Tamascelli1,2

  • 1Dipartimento di Fisica "Aldo Pontremoli", Università degli Studi di Milano, via Celoria 16, 20133 Milano, Italy.

Entropy (Basel, Switzerland)
|December 8, 2020
PubMed
Summary
This summary is machine-generated.

Chain mapping transforms complex quantum environments for efficient simulation. This method reveals how excitation transport is influenced by environmental factors like spectral density and temperature.

Keywords:
chain-mappingopen quantum systemstransport

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Area of Science:

  • Quantum Physics
  • Computational Physics
  • Condensed Matter Physics

Background:

  • Chain mapping is a powerful technique for simulating open quantum system dynamics.
  • It allows the use of Density Matrix Renormalization Group (DMRG) for complex systems.
  • This method provides insights into the causal structure of environmental interactions.

Purpose of the Study:

  • To investigate excitation transport in chain-mapped bosonic environments.
  • To explore the relationship between environmental spectral density, parameters, temperature, and excitation dynamics.
  • To understand fundamental environmental evolution features like localization and percolation.

Main Methods:

  • Utilizing chain mapping to represent environmental degrees of freedom in a one-dimensional structure.
  • Applying Density Matrix Renormalization Group (DMRG) for efficient and exact simulations.
  • Analyzing the dynamics of excitations along linear chains of quantum harmonic oscillators.

Main Results:

  • Demonstrated the influence of spectral density shape, parameters, and temperature on excitation transport.
  • Unveiled environmental evolution features including localization and percolation.
  • Observed the onset of stationary currents in the simulated system.

Conclusions:

  • Chain mapping offers a robust framework for studying open quantum systems and excitation dynamics.
  • Environmental properties significantly dictate the behavior of excitations.
  • The study provides fundamental insights into quantum transport phenomena.