Topological Heat Transport and Symmetry-Protected Boson Currents

Area of Science:

• Condensed Matter Physics
• Quantum Thermodynamics
• Topological Matter

Background:

• Non-equilibrium properties of topological systems are crucial for fundamental understanding and practical applications.
• Quantum open-system dynamics reveal phenomena beyond equilibrium thermodynamics.
• Topological systems exhibit robust properties protected by symmetries.

Purpose of the Study:

• To investigate the stationary properties of a two-dimensional bosonic Hofstadter lattice coupled to thermal baths.
• To explore novel non-equilibrium phenomena, specifically chiral edge heat currents.
• To introduce and analyze the concept of dissipative symmetry-protection in topological systems.

Main Methods:

• Utilizing the quantum open-system formalism to model the lattice.
• Analyzing the stationary properties of the system under coupling to thermal baths.
• Investigating heat transport phenomena, including edge currents and their response to temperature gradients.

Main Results:

• Observation of chiral edge heat currents, the out-of-equilibrium analogs of zero-temperature edge currents.
• Introduction of dissipative symmetry-protection, a new mechanism protecting topological heat currents.
• Discovery of a topological thermal current flowing against the temperature gradient.

Conclusions:

• The study demonstrates novel non-equilibrium phenomena in topological systems, accessible via quantum open-system approaches.
• Dissipative symmetry-protection offers a new paradigm for understanding topological properties in driven systems.
• Experimental realization is feasible using platforms like photonics and optical lattices.