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Absorption and injection models for open time-dependent quantum systems.

F L Traversa1, Z Zhan1, X Oriols1

  • 1Departament d'Enginyeria Electrònica, Universitat Autònoma de Barcelona, 08193-Bellaterra (Barcelona), Spain.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 13, 2014
PubMed
Summary
This summary is machine-generated.

A new model significantly reduces computational cost for simulating open quantum systems. This method enhances the study of quantum transport and other fields by optimizing calculations for time-dependent pure states.

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Area of Science:

  • Quantum mechanics
  • Computational physics

Background:

  • Simulating open quantum systems requires significant computational resources.
  • Initial states are often located outside the region of interest, increasing computational burden.

Purpose of the Study:

  • To present a model for significantly reducing the computational burden in time-dependent simulations of open quantum systems.
  • To enable efficient study of quantum transport and other phenomena involving external initial states.

Main Methods:

  • Utilizing the superposition principle and analytical free-time evolution for states outside the active region.
  • Incorporating absorbing layers and remapping techniques.
  • Applying the model to Schrödinger and tight-binding equations for numerical simulations.

Main Results:

  • Achieved a computational burden reduction of approximately two orders of magnitude per spatial dimension.
  • Demonstrated negligible error in the simulations.
  • Validated the model for effective mass Schrödinger and atomistic tight-binding equations.

Conclusions:

  • The presented model offers a highly efficient approach for simulating open quantum systems with external initial states.
  • This method is particularly beneficial for studying quantum transport, including many-particle and high-frequency effects.
  • The model's applicability extends to any field requiring simulations of time-dependent pure states located outside the active region.