Topological gauge theory for mixed Dirac stationary states in all dimensions

• URL: http://arxiv.org/abs/2109.06891v2
• Date: Wed, 26 Jan 2022 16:24:53 GMT
• Title: Topological gauge theory for mixed Dirac stationary states in all dimensions
• Authors: Ze-Min Huang, Xiao-Qi Sun, and Sebastian Diehl
• Abstract summary: We derive the universal real time $U(1)$ topological gauge field action for mixed quantum states of weakly correlated fermions in all dimensions. Key prerequisites are charge quantization and charge conservation.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We derive the universal real time $U(1)$ topological gauge field action for mixed quantum states of weakly correlated fermions in all dimensions, and demonstrate its independence of the underlying equilibrium or non-equilibrium nature of dynamics stabilizing the state. The key prerequisites are charge quantization and charge conservation. The gauge action encodes non-quantized linear responses as expected for mixed states, but also quantized non-linear responses, associated to mixed state topology and accessible in experiment. Our construction furthermore demonstrates how the physical pictures of anomaly inflow and bulk-boundary correspondence extend to non-equilibrium systems.

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