Transient effects in quantum dots contacted via topological superconductor
arXiv:2312.04488 · doi:10.1103/PhysRevB.110.035413
Abstract
We investigate gradual development of the quasiparticle states in two quantum dots attached to opposite sides of the topological superconducting nanowire, hosting the boundary modes. Specifically, we explore the non-equilibrium cross-correlations transmitted between these quantum dots via the zero-energy Majorana modes. From the analytical and numerical results we reveal nonlocal features in the transient behavior of electron pairing, which subsequently cease while the hybrid structure evolves towards its asymptotic steady limit configuration. We estimate duration of these temporary nonlocal phenomena and inspect their possible manifestation in the quench-driven processes. Such dynamical effects might play an important role in braiding protocols of the topological and/or conventional superconducting quantum bits using nanoscopic hybrid structures.
22 pages, 18 figures
References in corpus (73)
- Proximity effects in superconductor-ferromagnet heterostructures
- Topological superconductors: a review
- The numerical renormalization group method for quantum impurity systems
- Majorana bound states in a coupled quantum-dot hybrid-nanowire system
- Realizing Majorana zero modes in superconductor-semiconductor heterostructures
- Observation of Majorana fermions with spin selective Andreev reflection in the vortex of topological superconductor
- Nonthermal pathways to ultrafast control in quantum materials
- Milestones toward Majorana-based quantum computing
- From Andreev to Majorana bound states in hybrid superconductor-semiconductor nanowires
- Real-time dynamics in Quantum Impurity Systems: A Time-dependent Numerical Renormalization Group Approach
- Andreev bound states versus Majorana bound states in quantum dot-nanowire-superconductor hybrid structures: Trivial versus topological zero-bias conductance peaks
- Electron Teleportation via Majorana Bound States in a Mesoscopic Superconductor
- Near-zero-energy end states in topologically trivial spin-orbit coupled superconducting nanowires with a smooth confinement
- Realization of a minimal Kitaev chain in coupled quantum dots
- Detecting a Majorana-Fermion Zero Mode Using a Quantum Dot
- Josephson and Andreev transport through quantum dots
- Nonlocality of Majorana Modes in Hybrid Nanowires
- Reproducing topological properties with quasi-Majorana states
- Measuring Majorana non-locality and spin structure with a quantum dot
- Majorana bound states in non-homogeneous semiconductor nanowires
- Two terminal charge tunneling: Disentangling Majorana zero modes from partially separated Andreev bound states in semiconductor-superconductor heterostructures
- Quantized zero bias conductance plateau in semiconductor-superconductor heterostructures without non-Abelian Majorana zero modes
- Subtle leakage of a Majorana mode into a quantum dot
- Spectral properties of locally correlated electrons in a BCS superconductor
- Selective Equal-Spin Andreev Reflections Induced by Majorana Fermions
- Scheme to measure Majorana fermion lifetimes using a quantum dot
- Probing Majorana Physics in Quantum Dot Shot Noise Experiments
- Distinguishing topological Majorana bound states from trivial Andreev bound states: Proposed tests through differential tunneling conductance spectroscopy
- On controlling the bound states in quantum-dot hybrid-nanowire
- Interaction effects on a Majorana zero mode leaking into a quantum dot
- Testable signatures of quantum non-locality in a two-dimensional chiral p-wave superconductor
- Hunting for Majoranas
- Topologically trivial zero bias conductance peak in semiconductor Majorana wires from boundary effects
- Quantum phase transition in a minimal model for the Kondo effect in a Josephson junction
- Electron temperature and tunnel coupling dependence of zero-bias and almost-zero-bias conductance peaks in Majorana nanowires
- Spin-dependent coupling between quantum dots and topological quantum wires
- Interplay between Kondo and Majorana interactions in quantum dots
- Fractional Josephson Effect with and without Majorana Zero Modes
- Dynamics of Majorana-based qubits operated with an array of tunable gates
- Kondo and Majorana signatures near the singlet-doublet quantum phase transition
- Constructive influence of the induced electron pairing on the Kondo state
- Quench dynamics in superconducting nanojunctions: metastability and dynamical Yang-Lee zeros
- Andreev-Majorana bound states in superfluids
- Time-Dependent Numerical Renormalization Group Method for Multiple Quenches: Application to General Pulses and Periodic Driving
- Andreev bound states formation and quasiparticle trapping in quench dynamics revealed by time-dependent counting statistics
- Distinguishing Majorana Zero Modes from Impurity States through Time-Resolved Transport
- Dynamical quantum phase transitions in a mesoscopic superconducting system
- Spin-resolved interference due to Majorana state on interface between normal and superconducting leads
- Robustness of the Kondo effect in a quantum dot coupled to Majorana zero modes
- Zero-frequency supercurrent susceptibility signatures of trivial and topological zero-energy states in nanowire junctions
- Identifying Majorana bound states by tunneling shot-noise tomography
- Majorana mode leaking into a spin-charge entangled double quantum dot
- Many-body Majorana braiding without an exponential Hilbert space
- Dynamics of hybrid junctions of Majorana wires
- Revisit the non-locality of Majorana zero modes and teleportation: Bogoliubov-de Gennes equation based treatment
- Electronic and fluctuation dynamics following a quench to the superconducting phase
- Majorana molecules and their spectral fingerprints
- Majorana differential shot noise and its universal thermoelectric crossover
- How long does it take to form the Andreev quasiparticles ?
- Time scales for charge-transfer based operations on Majorana systems
- Leakage of Majorana mode into correlated quantum dot nearby its singlet-doublet crossover
- Dynamical leakage of Majorana mode into side-attached quantum dot
- Out of Equilibrium Majoranas in Interacting Kitaev Chains
- Quench dynamics of correlated quantum dot proximitized to superconducting lead
- Quench dynamics of spin in quantum dots coupled to spin-polarized leads
- Higgs-like pair amplitude dynamics in superconductor-quantum dot hybrids
- Transient dynamics of a magnetic impurity coupled to superconducting electrodes: exact numerics versus perturbation theory
- Electron correlation effects in superconducting nanowires in and out of equilibrium
- Majorana correlations in quantum impurities coupled to a topological wire
- Shot noise distinguishes Majorana fermions from vortices injected in the edge mode of a chiral p-wave superconductor
- Nonlocality of Majorana bound states revealed by electron waiting times in a topological Andreev interferometer
- Double Fu-teleportation and anomalous Coulomb blockade in a Majorana-hosted superconducting island
- Non-Equilibrium Charge Dynamics in Majorana-Josephson Devices