Robust nonequilibrium edge currents with and without band topology
arXiv:2106.05988 · doi:10.1103/PhysRevLett.128.120403
Abstract
We study two-dimensional bosonic and fermionic lattice systems under nonequilibrium conditions corresponding to a sharp gradient of temperature imposed by two thermal baths. In particular, we consider a lattice model with broken time-reversal symmetry that exhibits both topologically trivial and nontrivial phases. Using a nonperturbative Green function approach, we characterize the nonequilibrium current distribution in different parameter regimes. For both bosonic and fermionic systems, we find chiral edge currents that are robust against coupling to reservoirs and to the presence of defects on the boundary or in the bulk. This robustness not only originates from topological effects at zero temperature but, remarkably, also persists as a result of dissipative symmetries in regimes where band topology plays no role. Chirality of the edge currents implies that energy locally flows against the temperature gradient without any external work input. In the fermionic case, there is also a regime with topologically protected boundary currents, which nonetheless do not circulate around all system edges.
arXiv commentv1: 5+4 pages, 4+2 figures. Comments welcome. v2: Final author version
References in corpus (54)
- Topological Insulators
- Topological insulators and superconductors
- Quantum Spin Hall Effect in Graphene
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Berry Phase Effects on Electronic Properties
- Topological Photonics
- Photonic Floquet Topological Insulators
- Classification of topological quantum matter with symmetries
- Experimental realisation of the topological Haldane model
- Imaging topological edge states in silicon photonics
- The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
- Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
- Symmetry and Topology in Non-Hermitian Physics
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Topological quantization of the spin Hall effect in two-dimensional paramagnetic semiconductors
- Open Quantum Systems. An Introduction
- Berry Curvature on the Fermi Surface: Anomalous Hall Effect as a Topological Fermi-Liquid Property
- Non-Hermitian skin effect and chiral damping in open quantum systems
- Topology by Dissipation in Atomic Quantum Wires
- Topological states of non-Hermitian systems
- Environmental dynamics, correlations, and the emergence of noncanonical equilibrium states in open quantum systems
- Nonequilibrium thermodynamics in the strong coupling and non-Markovian regime based on a reaction coordinate mapping
- Tenfold Way for Quadratic Lindbladians
- Mapping the Berry Curvature from Semiclassical Dynamics in Optical Lattices
- {\it Colloquium:} Statistical Mechanics and Thermodynamics at Strong Coupling: Quantum and Classical
- Performance of a quantum heat engine at strong reservoir coupling
- Probing chiral edge dynamics and bulk topology of a synthetic Hall system
- On the nature of heat in strongly coupled open quantum systems
- Strong Coupling Thermodynamics of Open Quantum Systems
- Strong coupling corrections in quantum thermodynamics
- Dissipative preparation of Chern insulators
- Density Matrix Topological Insulators
- Non-additive dissipation in open quantum networks out of equilibrium
- Energy exchange in driven open quantum systems at strong coupling
- Emerging dissipative phases in a superradiant quantum gas with tunable decay
- Quantum thermodynamics of the driven resonant level model
- Observation of topological Uhlmann phases with superconducting qubits
- Nonequilibrium density matrix description of steady state quantum transport
- Symmetry classes of open fermionic quantum matter
- Engineering topological materials in microwave cavity arrays
- Topology by Dissipation: Majorana Bosons in Metastable Quadratic Markovian Dynamics
- Thermal Instability of Protected End States in a 1-D Topological Insulator
- Quantum heat statistics with time-evolving matrix product operators
- Energy-temperature uncertainty relation in quantum thermodynamics
- Dissipative topological superconductors in number-conserving systems
- Speed-ups to isothermality: Enhanced quantum thermal machines through control of the system-bath coupling
- Topological Heat Transport and Symmetry-Protected Boson Currents
- Fragility of Time-Reversal Symmetry Protected Topological Phases
- Reservoir-induced Thouless pumping and symmetry protected topological order in open quantum chains
- Suppressing dissipation in a Floquet-Hubbard system
- Topology by Dissipation: Transport properties
- Driven Dissipative Majorana Dark Spaces
- Heat, particle and chiral currents in a boundary driven bosonic ladders in presence of gauge fields