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Ballistic Spin Transport in a Periodically Driven Integrable Quantum System.

Marko Ljubotina1, Lenart Zadnik1, Tomaž Prosen1

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This summary is machine-generated.

We show ballistic spin transport in an integrable quantum circuit. A fractal lower bound on spin Drude weight was found to be tight, breaking spin-reversal symmetry.

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Area of Science:

  • Quantum mechanics
  • Condensed matter physics
  • Statistical mechanics

Background:

  • Integrable quantum systems exhibit unique transport properties.
  • Quantum circuits offer a platform for simulating complex physical models.
  • Spin transport is crucial for spintronics and quantum information.

Purpose of the Study:

  • To demonstrate ballistic spin transport in an integrable unitary quantum circuit.
  • To investigate the properties of spin transport in periodically driven and anisotropic spin models.
  • To establish a lower bound for spin Drude weight and analyze its behavior.

Main Methods:

  • Construction of an analytic family of quasilocal conservation laws.
  • Breaking of spin-reversal symmetry through these conservation laws.
  • Computation of a lower bound on the spin Drude weight.
  • Extensive numerical simulations of spin transport.

Main Results:

  • Ballistic spin transport was successfully demonstrated.
  • A fractal function was identified as a lower bound for the spin Drude weight.
  • This fractal lower bound was found to be dependent on the anisotropy parameter.
  • Numerical simulations confirmed the tightness of the fractal lower bound.

Conclusions:

  • The study establishes a theoretical framework for understanding ballistic spin transport in integrable quantum systems.
  • The findings reveal a novel fractal behavior in spin transport properties.
  • The results have implications for the design of quantum devices and the study of quantum dynamics.