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Area of Science:

  • Quantum Many-Body Physics
  • Quantum Information Theory
  • Random Matrix Theory

Background:

  • Quantum thermalization describes subsystem relaxation to reproduce thermal mixed state expectation values.
  • Standard models do not predict universal state distributions in Hilbert space.

Purpose of the Study:

  • To investigate emergent random matrix universality in quantum many-body systems at infinite temperature.
  • To demonstrate that specific measurement protocols can lead to uniform state distributions.

Main Methods:

  • Considered an ensemble of pure states from projective measurements on a subsystem.
  • Analyzed quench dynamics in quantum chaotic systems.
  • Derived exact results for the state ensemble distribution.

Main Results:

  • The ensemble of subsystem states approaches a universal form, independent of system specifics.
  • States become uniformly distributed in Hilbert space, forming a quantum state design.
  • This behavior surpasses the predictions of standard quantum thermalization.

Conclusions:

  • Isolated quantum dynamics can generate pseudorandom states, bridging quantum physics and information theory.
  • Findings offer new avenues for quantum state tomography and benchmarking applications.