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Topological Field Theory Far from Equilibrium.

F Tonielli1, J C Budich2, A Altland1

  • 1Institut für Theoretische Physik, Universität zu Köln, D-50937 Cologne, Germany.

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|July 9, 2020
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Summary
This summary is machine-generated.

We show that topological quantum matter properties can be described by topological field theories even outside thermal equilibrium. This leads to the prediction of chiral edge modes in driven open systems with a Chern insulator steady state.

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Area of Science:

  • Condensed matter physics
  • Quantum field theory

Background:

  • Topological quantum matter properties are typically described by topological field theories.
  • These descriptions have been limited to systems in thermal equilibrium.

Purpose of the Study:

  • To extend the description of topological quantum matter to systems beyond thermal equilibrium.
  • To investigate driven open quantum systems and their steady states.

Main Methods:

  • Construction of a two-dimensional driven open dynamics model with a Chern insulator steady state.
  • Application of a Keldysh field theory approach.
  • Analysis under assumptions of particle number conservation and stationary state purity.

Main Results:

  • An abelian Chern-Simons theory is shown to describe the system's response to external perturbations.
  • The study predicts the existence of chiral edge modes.
  • These edge modes are stabilized by a dissipative bulk.

Conclusions:

  • Topological field theories can describe topological quantum matter out of equilibrium.
  • Driven open systems can exhibit topological properties, including protected edge modes.
  • The findings open new avenues for understanding and engineering topological states in non-equilibrium settings.