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Generalized Hydrodynamics with Space-Time Inhomogeneous Interactions.

Alvise Bastianello1, Vincenzo Alba1, Jean-Sébastien Caux1

  • 1Institute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, Netherlands.

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|November 8, 2019
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Summary
This summary is machine-generated.

We developed a new hydrodynamic framework for non-equilibrium systems with varying interactions. This method analytically describes dynamics during interaction changes, applicable to Bose gases and spin chains.

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Area of Science:

  • Quantum physics
  • Statistical mechanics
  • Condensed matter theory

Background:

  • Generalized hydrodynamics (GHD) describes equilibrium and near-equilibrium systems.
  • Analyzing out-of-equilibrium dynamics with space-time dependent interactions is challenging.
  • Existing methods struggle with generic modulations and interaction quenches.

Purpose of the Study:

  • To introduce a novel hydrodynamic framework for out-of-equilibrium integrable systems.
  • To analytically describe dynamics under space-time inhomogeneous interactions.
  • To provide a method for studying experimentally relevant scenarios like interaction quenches.

Main Methods:

  • Building upon generalized hydrodynamics (GHD).
  • Developing a new hydrodynamic framework for non-equilibrium dynamics.
  • Analytical treatment of space-time dependent modulations.

Main Results:

  • A new analytical framework for out-of-equilibrium integrable systems.
  • The ability to describe dynamics during generic space-time-dependent interaction modulations.
  • Successful application to interaction quenches in trapped interacting Bose gases.
  • Benchmarking results in the XXZ spin chain and sinh-Gordon model.

Conclusions:

  • The new framework successfully describes complex dynamics in integrable systems.
  • It offers an analytical approach for problems previously intractable by other methods.
  • The framework is versatile, applicable to various physical systems and experimental setups.