Majorana-like oscillation for edge states in one-dimensional topological chain with dissipative couplings
arXiv:2109.04694
Abstract
The oscillation of Majorana modes with near zero energy plays a very important role for ascertaining Majorana fermions. The edge states, which also have almost-zero-energy in one-dimensional Su-Schrieffer-Heeger chain (SSHc), have been extensively studied for their topologically protected properties when the on-sites have dissipations induced by independent environments. We here show that common environments shared by each pair of the nearest neighbour sites in the SSHc can result in dissipative couplings between sites, and thus change topologically trivial phase to nontrivial one. The Majorana-like oscillation for the finite-size hybridizations of two non-Hermitian edge states with complex localization lengths can be induced by the dissipative coupling. The controllable topology parameter of the SSHc plays the role of the magnetic field in the nanowire for controlling Majorana oscillation. The measurement for the oscillation is proposed. Our study provides a new way to manipulate edge states and is experimentally feasible within current technology of superconducting quantum circuits.
References in corpus (52)
- Topological Insulators
- Topological insulators and superconductors
- Fault-tolerant quantum computation by anyons
- 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
- Decoherence Free Subspaces for Quantum Computation
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Colloquium: Topological Band Theory
- Noiseless Quantum Codes
- Majorana Zero Modes and Topological Quantum Computation
- Non-Bloch Band Theory of Non-Hermitian Systems
- Probing topological invariants in the bulk of a non-Hermitian optical system
- Natural and artificial atoms for quantum computation
- Preserving coherence in quantum computation by pairing quantum bits
- Nonreciprocal Photon Transmission and Amplification via Reservoir Engineering
- Topological Transition in a Non-Hermitian Quantum Walk
- Spectral signatures of many-body localization with interacting photons
- Nonreciprocity and Unidirectional Invisibility in Cavity Magnonics
- A tunable coupling scheme for implementing high-fidelity two-qubit gates
- Geometrical meaning of winding number and its characterization of topological phases in one-dimensional chiral non-Hermitian systems
- Towards a realistic transport modeling in a superconducting nanowire with Majorana fermions
- Level Attraction Due to Dissipative Magnon-Photon Coupling
- A Majorana smoking gun for the superconductor-semiconductor hybrid topological system
- Non-Hermitian Many-Body Localization
- Emulating many-body localization with a superconducting quantum processor
- PT-Symmetry in Non-Hermitian Su-Schrieffer-Heeger model with complex boundary potentials
- Topological framework for directional amplification in driven-dissipative cavity arrays
- Experimental Measurement of the Quantum Metric Tensor and Related Topological Phase Transition with a Superconducting Qubit
- Creating Decoherence-Free Subspaces with Strong and Fast Pulses
- Controllable coupling between flux qubits
- Observation of topological magnon insulator states in a superconducting circuit
- Topological Maxwell Metal Bands in a Superconducting Qutrit
- Decaying spectral oscillations in a Majorana wire with finite coherence length
- Observation of anti-PT symmetry phase transition in the magnon-cavity-magnon coupled system
- Tunable coupling scheme for flux qubits at the optimal point
- Tunneling of anyonic Majorana excitations in topological superconductors
- Topological invariants in dissipative extensions of the Su-Schrieffer-Heeger model
- Topological Amplification in Photonic Lattices
- Signatures of interaction-induced helical gaps in nanowire quantum point contacts
- Topological phases in Kitaev chain with imbalanced pairing
- Ensemble-induced strong light-matter coupling of a single quantum emitter
- Switchable resonant coupling of flux qubits
- Dimensional crossover in spin-orbit-coupled semiconductor nanowires with induced superconducting pairing
- Topologically Protected Quantum Coherence in a Superatom
- Decays of Majorana or Andreev oscillations induced by steplike spin-orbit coupling
- Fate of zero modes in a finite Su-Schrieffer-Heeger Model with Symmetry
- Probing bulk topological invariants using leaky photonic lattices
- Energy-level-attraction and heating-resistant-cooling of mechanical resonators with exceptional points
- Effect of loss on the topological features of dimer chain described by the extended Aubry-André-Harper model
- Impurity-induced resonant states in topological nodal-line semimetals