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Quantum speed limit for arbitrary initial states.

Ying-Jie Zhang1, Wei Han2, Yun-Jie Xia2

  • 11] Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China [2] Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Department of Physics, Qufu Normal University, Qufu 273165, China.

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Summary
This summary is machine-generated.

We determined the quantum speed limit time for open quantum systems, applicable to any initial state. This bound reveals how environmental interactions affect the maximal speed of quantum evolution.

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Area of Science:

  • Quantum Physics
  • Quantum Information Theory
  • Quantum Dynamics

Background:

  • The quantum speed limit time defines the minimal evolution time for a quantum system.
  • Characterizing the maximal speed of quantum system evolution is fundamental.
  • Understanding open quantum systems is crucial for quantum technologies.

Purpose of the Study:

  • Investigate the generic bound on the minimal evolution time for open dynamical quantum systems.
  • Apply findings to specific models like the damped Jaynes-Cummings and Ohimc-like dephasing models.
  • Analyze the influence of Markovian and non-Markovian dynamics on the quantum speed limit.

Main Methods:

  • Deriving a general bound for the quantum speed limit time in open systems.
  • Applying the derived bound to the damped Jaynes-Cummings model.
  • Applying the derived bound to the Ohimc-like dephasing model.
  • Analyzing relativistic effects on the quantum speed limit for non-inertial observers.

Main Results:

  • The quantum speed limit time bound is applicable to both mixed and pure initial states.
  • In Markovian dynamics, the bound for the damped Jaynes-Cummings model decreases then increases.
  • Non-Markovian dynamics lead to periodic oscillatory behavior in the speed limit time.
  • For the Ohimc-like dephasing model, the bound converges to a fixed value.
  • Relativistic effects on the speed limit time in non-inertial frames were discussed.

Conclusions:

  • The study provides a universal bound for the quantum speed limit time in open systems.
  • Environmental dynamics significantly influence the maximal evolution speed of quantum systems.
  • The findings offer insights into controlling and optimizing quantum evolution speeds.