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.

9 pages, 5 figures

References in corpus (7)

• Topological Photonics
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Dissipative preparation of Chern insulators
• Mutual Chern-Simons theory for Z_2 topological order
• Quantum response of dephasing open systems
• Nonequilibrium dephasing in Coulomb blockade quantum dots
• Floquet topological insulators: from band structure engineering to novel non-equilibrium quantum phenomena

Cited by in corpus (33)

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• Universality in driven open quantum matter
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• 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
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• 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
• Diffusion in quantum state preparation: From passive cooling to system-bath engineering
• Topological states of generalized dissipative Majorana wires