Simulation of Kitaev model using one-dimensional chain of superconducting qubits and environmental effect on topological states
arXiv:2302.03834 · doi:10.1063/5.0224271
Abstract
Kitaev fermionic chain is one of the important physical models for studying topological physics and quantum computing. We here propose an approach to simulate the one-dimensional Kitaev model by a chain of superconducting qubit circuits. Furthermore, we study the environmental effect on topological quantum states of the Kitaev model. Besides the independent environment surrounding each qubit, we also consider the common environment shared by two nearest neighboring qubits. Such common environment can result in an effective non-Hermitian dissipative coupling between two qubits. Through theoretical analysis and numerical calculations, we show that the common environment can significantly change properties of topological states in contrast to the independent environment. In addition, we also find that dissipative couplings at the edges of the chain can be used to more easily tune the topological properties of the system than those at other positions. Our study may open a new way to explore topological quantum phase transition and various environmental effects on topological physics using superconducting qubit circuits.
17 pages, 14 figures
References in corpus (33)
- Non-Abelian Anyons and Topological Quantum Computation
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Charge insensitive qubit design derived from the Cooper pair box
- Microwave photonics with superconducting quantum circuits
- Photon-mediated interactions between distant artificial atoms
- Nonreciprocal Photon Transmission and Amplification via Reservoir Engineering
- Epitaxy of Semiconductor-Superconductor nanowires
- Topological Transition in a Non-Hermitian Quantum Walk
- Time-reversal symmetry breaking in circuit-QED based photon lattices
- Observation of Berry's Phase in a Solid State Qubit
- Towards a realistic transport modeling in a superconducting nanowire with Majorana fermions
- Correlated Charge Noise and Relaxation Errors in Superconducting Qubits
- Observation of topological transitions in interacting quantum circuits
- Coherence and Decay of Higher Energy Levels of a Superconducting Transmon Qubit
- Measuring a topological transition in an artificial spin 1/2 system
- Experimental Measurement of the Quantum Metric Tensor and Related Topological Phase Transition with a Superconducting Qubit
- Majorana nanowires for topological quantum computation
- Majorana fermions in density modulated p-wave superconducting wires
- Photon transport in a Bose-Hubbard chain of superconducting artificial atoms
- Dimensional crossover in spin-orbit-coupled semiconductor nanowires with induced superconducting pairing
- Exact solution of single impurity problem in non-reciprocal lattices: impurity induced size-dependent non-Hermitian skin effect
- Topology-Enhanced Nonreciprocal Scattering and Photon Absorption in a Waveguide
- Emulating quantum teleportation of a Majorana zero mode qubit
- Dissipative Topological Phase Transition with Strong System-Environment Coupling
- Critical fluorescence of a transmon at the Schmid transition
- Observing and braiding topological Majorana modes on programmable quantum simulators
- Supercurrent-induced topological phase transitions
- Implementing topological quantum manipulation with superconducting circuits
- Topology-dependent quantum dynamics and entanglement-dependent topological pumping in superconducting qubit chains
- Energy-level-attraction and heating-resistant-cooling of mechanical resonators with exceptional points
- Topological edge states and pumping in a chain of coupled superconducting qubits