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Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
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Multipole conservation laws and subdiffusion in any dimension.

Jason Iaconis1, Andrew Lucas1, Rahul Nandkishore1

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Physical Review. E
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Summary
This summary is machine-generated.

Subdiffusion, a key aspect of chaotic many-body dynamics, is explored using quantum circuits. The study confirms predictions of hydrodynamic theories for systems with conservation laws and symmetries.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Dynamics
  • Statistical Mechanics

Background:

  • Subdiffusion is a common characteristic of complex quantum systems.
  • Understanding its origins is crucial for characterizing many-body dynamics.

Purpose of the Study:

  • To numerically investigate subdiffusive dynamics in various models.
  • To verify the applicability of hydrodynamic predictions to these systems.

Main Methods:

  • Utilizing quantum automaton random unitary circuits for numerical simulations.
  • Examining one-dimensional models with dipole and quadrupole conservation.
  • Analyzing two-dimensional models with dipole conservation and subsystem symmetry on a triangular lattice.

Main Results:

  • Observed subdiffusive dynamics across all studied models.
  • Numerical results show complete agreement with recent hydrodynamic predictions.
  • Confirmed subdiffusion as a generic feature linked to conservation laws and symmetries.

Conclusions:

  • Hydrodynamic theories accurately describe subdiffusive behavior in chaotic many-body systems.
  • Quantum circuits provide a viable platform for studying complex quantum dynamics.
  • Subdiffusion is robustly associated with multipole conservation and subsystem symmetries.