Particle and thermal transport through one dimensional topological systems via Lindblad formalism
arXiv:2210.04163 · doi:10.1016/j.physleta.2023.128826
Abstract
We apply the Lindblad quantum master equation to two examples of one-dimensional topological systems, the Su-Schrieffer-Heeger (SSH) model and Kitaev chain, to study their particle and thermal transport. The steady-state properties are obtained by decomposing fermions into Majorana fermions and extracting their correlation functions. We focus on the particle and thermal currents flowing through the bulk when the system is driven by two reservoirs coupled to the two ends. The ratio of the currents of the SSH model from the topological and trivial regimes with the same bandwidth demonstrates suppression of transport due to the edge states, which couple to the reservoirs but do not participate in transport. A similar comparison cannot be performed for the Kitaev chain because the topological and trivial regimes have different bandwidths, and the edge states are less significant away from the transition. Therefore, the results contrast various topological properties in quantum transport.
arXiv comment11 pages, 5 figures
References in corpus (41)
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Unpaired Majorana fermions in quantum wires
- Circuit elements with memory: memristors, memcapacitors and meminductors
- Direct Measurement of the Zak phase in Topological Bloch Bands
- A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
- Topological Band Engineering of Graphene Nanoribbons
- Topolectrical circuits
- Engineering of robust topological quantum phases in graphene nanoribbons
- Topology by Dissipation in Atomic Quantum Wires
- Observation of the topological soliton state in the Su-Schrieffer-Heeger model
- Topological states in engineered atomic lattices
- On the Local and Global Approaches to Quantum Transport and Violation of the Second-law of Thermodynamics
- Topology by dissipation
- Electronic Transport and quantum oscillation of Topological Semimetals
- Reconciliation of quantum local master equations with thermodynamics
- Local vs global master equation with common and separate baths: superiority of the global approach in partial secular approximation
- Spectral theorem for the Lindblad equation for quadratic open fermionic systems
- Exact solution of Markovian master equations for quadratic fermi systems: thermal baths, open XY spin chains, and non-equilibrium phase transition
- Charge and spin transport in strongly correlated one-dimensional quantum systems driven far from equilibrium
- Out of equilibrium open quantum systems: a comparison of approximate Quantum Master Equation approaches with exact results
- Heat transport through lattices of quantum harmonic oscillators in arbitrary dimensions
- Realizing Su-Schrieffer-Heeger topological edge states in Rydberg-atom synthetic dimensions
- Noise-resilient Edge Modes on a Chain of Superconducting Qubits
- Negative differential conductivity in far-from-equilibrium quantum spin chains
- Simulating the dynamics of braiding of Majorana zero modes using an IBM quantum computer
- Quantum thermodynamically consistent local master equations
- Thermodynamic deficiencies of some simple Lindblad operators
- Non-equilibrium quantum chains under multi-site Lindblad baths
- Lindblad master equation approach to the topological phase transition in the disordered Su-Schrieffer-Heeger model
- Landauer's formula with finite-time relaxation: Kramers' crossover in electronic transport
- Master Equations for Electron Transport: The Limits of the Markovian Limit
- Linear and non-linear transport across a finite Kitaev chain: an exact analytical study
- Lindblad equation approach to the optimal working point in nonequilibrium stationary states of an interacting electronic one-dimensional system: Application to the spinless Hubbard chain in the clean and in the weakly disordered limit
- Topological quantization of energy transport in micro- and nano-mechanical lattices
- Tunable current circulation in triangular quantum-dot metastructures
- Topological edge states in the Su-Schrieffer-Heeger model subject to balanced particle gain and loss
- Transport in spinless superconducting wires
- Geometry-induced circulation of local photonic transport in a triangular metastructure
- Geometry induced local thermal current from cold to hot in a classical harmonic system
- Geometry-based circulation of local thermal current in quantum harmonic and Bose Hubbard systems
- Out-of-equilibrium quantum dynamics of fermionic gases in the presence of localized particle loss
Cited by in corpus (4)
- Current circulation near additional energy degeneracy points in quadratic Fermionic networks
- Discovery of energy landscapes towards optimized quantum transport: Environmental effects and long-range tunneling
- Structure and scaling of Kitaev chain across a quantum critical point in real space
- Third quantization with Hartree approximation for open-system bosonic transport