Topological Field Theory far from Equilibrium

Abstract

The observable properties of topological quantum matter are often described by topological field theories. We here demonstrate that this principle extends beyond thermal equilibrium. To this end, we construct a model of two-dimensional driven open dynamics with a Chern insulator steady state. Within a Keldysh field theory approach, we show that under mild assumptions - particle number conservation and purity of the stationary state - an abelian Chern-Simons theory describes its response to external perturbations. As a corollary, we predict chiral edge modes stabilized by a dissipative bulk.

arXiv comment9 pages, 5 figures

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Cited by in corpus (33)

• Exceptional Topology of Non-Hermitian Systems
• Many-body topology of non-Hermitian systems
• Topological Field Theory of Non-Hermitian Systems
• Geometric Response and Disclination-Induced Skin Effects in Non-Hermitian Systems
• Symmetry classes of open fermionic quantum matter
• Universality in driven open quantum matter
• Correlation engineering via non-local dissipation
• Non-Hermitian Mott Skin Effect
• Field Theory of Many-Body Lindbladian Dynamics
• Berry connection induced anomalous wave-packet dynamics in non-Hermitian systems
• Entanglement Spectrum Crossings Reveal non-Hermitian Dynamical Topology
• Keldysh Wormholes and Anomalous Relaxation in the Dissipative Sachdev-Ye-Kitaev Model
• Lieb-Schultz-Mattis Theorem in Open Quantum Systems
• Many-Body Open Quantum Systems
• Bridging the gap between topological non-Hermitian physics and open quantum systems
• Disorder in dissipation-induced topological states: Evidence for a different type of localization transition
• Dissipative preparation of fractional Chern insulators
• Dissipative Boundary State Preparation
• Symmetry-Preserving Quadratic Lindbladian and Dissipation Driven Topological Transitions in Gaussian States
• Effective response theory for Floquet topological systems
• Kramers' degeneracy for open systems in thermal equilibrium
• Reaction-diffusive dynamics of number-conserving dissipative quantum state preparation
• Topological gauge theory for mixed Dirac stationary states in all dimensions
• Skin Effect Induced Anomalous Dynamics from Charge-Fluctuating Initial States
• Dynamic renormalization group theory for open Floquet systems
• Probing the Topology of Fermionic Gaussian Mixed States with {U(1)} symmetry by Full Counting Statistics
• Diffusive modes of two-band fermions under number-conserving dissipative dynamics
• Population Dynamics of Schrödinger Cats
• Dynamics of photo-induced ferromagnetism in oxides with orbital degeneracy
• Instability of the engineered dark state in two-band fermions under number-conserving dissipative dynamics
• Time reversal symmetry protected chaotic fixed point in the quench dynamics of a topological $p$-wave superfluid
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• Topological states of generalized dissipative Majorana wires