Majorana finite frequency nonequilibrium quantum noise

Abstract

Quantum finite frequency noise is one of fundamental aspects in quantum measurements performed during quantum information processing where currently Majorana bound states offer an efficient way to implement fault-tolerant quantum computation via topological protection from decoherence or unitary errors. Thus a detailed exploration of Majorana finite frequency noise spectra, preferably in a nonequilibrium device, is a timely challenge of fundamental importance. Here we present results on finite frequency differential noise that is the derivative of the noise with respect to the frequency. This quantity has universal units of $e^2$ and scans in high detail all peculiarities of the Majorana noise clearly demonstrating its universal finite frequency features. In particular, we provide photon absorption spectra on all energy scales and reveal a rich structure including universal Majorana plateaus as well as universal Majorana resonances and antiresonances at characteristic frequencies. Our results are of immediate interest to state-of-the-art experiments involving quantum noise mesoscopic detectors able to separately measure photon absorption and emission spectra.

arXiv comment10 pages, 7 figures

References in corpus (28)

• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• New directions in the pursuit of Majorana fermions in solid state systems
• Introduction to Quantum Noise, Measurement and Amplification
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• Exponential Protection of Zero Modes in Majorana Islands
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Introduction to topological superconductivity and Majorana fermions
• Quantized Majorana conductance
• Milestones toward Majorana-based quantum computing
• Majorana Fermions and Topology in Superconductors
• Random-matrix theory of Majorana fermions and topological superconductors
• Braiding without Braiding: Teleportation-Based Quantum Information Processing with Majorana Zero Modes
• Probing Majorana Physics in Quantum Dot Shot Noise Experiments
• Majorana braiding with thermal noise
• Quantum limited sensitivity of SET-based displacement detectors
• Quantum computing and quantum measurement with mesoscopic Josephson junctions
• Majorana tunneling entropy
• Current Correlations in a Majorana Beam Splitter
• Readout of Majorana parity states using a quantum dot
• Universal Majorana thermoelectric noise
• Majorana zero modes choose Euler numbers - revealed by full counting statistics
• Noise and Measurement Efficiency of a Partially Coherent Mesoscopic Detector
• Nonequilibrium Majorana fluctuations
• Finite-frequency noise in a topological superconducting wire
• Finite frequency noise in a normal metal - topological superconductor junction

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• Crossed Andreev reflection in spin-polarized chiral edge states due to the Meissner effect
• Majorana entropy revival via tunneling phases
• Majorana ensembles with fractional entropy and conductance in nanoscopic systems
• Majorana molecules and their spectral fingerprints
• Majorana differential shot noise and its universal thermoelectric crossover
• Dual Majorana universality in thermally induced nonequilibrium
• Quantized spin pumping in topological ferromagnetic-superconducting nanowires
• Master equation approach for transport through Majorana zero modes
• Nonequilibrium finite frequency resonances in differential quantum noise driven by Majorana interference
• Memory effect preserved time-local approach to noise spectrum of transport current
• Signatures of Kondo-Majorana interplay in ac response
• Phase-controlled quantum transport signatures in a quantum dot-Majorana hybrid ring system
• Distinguishing Majorana bound states from Andreev bound states through differential conductance and current noise spectrum
• Thermoelectric fluctuations of interfering Majorana bound states
• Fluctuation response of a minimal Kitaev chain in nonequilibrium states
• Current cross-correlation spectroscopy of Majorana bound states
• Creating and detecting poor man's Majorana bound states in interacting quantum dots
• Revealing universal Majorana fractionalization using differential shot noise and conductance in nonequilibrium states controlled by tunneling phases