Pumped heat and charge statistics from Majorana braiding
arXiv:2005.11727 · doi:10.1103/PhysRevB.102.245420
Abstract
We examine the heat and charge transport of a driven topological superconductor. Our particular system of interest consists of a Y-junction of topological superconducting wires, hosting non-Abelian Majorana zero modes at their edges. The system is contacted to two leads which act as continuous detectors of the system state. We calculate, via a scattering matrix approach, the full counting statistics of the driven heat transport, between two terminals contacted to the system, for small adiabatic driving and characterise the energy transport properties as a function of the system parameters (driving frequency, temperature). We find that the geometric, dynamic contribution to the pumped heat statistics results in a correction to the Gallavotti-Cohen type fluctuation theorem for quantum heat transfer. Notably, the correction term to the fluctuation theorem extends to cycles which correspond to topologically protected braiding of the Majorana zero modes. This geometric correction to the fluctuation theorem differs from its analogs in previously studied systems in that (i) it is non-vanishing for adiabatic cycles of the system's parameters, without the need for cyclic driving of the leads and (ii) it is insensitive to small, slow fluctuations of the driving parameters due to the topological protection of the braiding operation.
arXiv comment18 pages, 8 figures
References in corpus (53)
- Non-Abelian Anyons and Topological Quantum Computation
- Unpaired Majorana fermions in quantum wires
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Helical liquids and Majorana bound states in quantum wires
- New directions in the pursuit of Majorana fermions in solid state systems
- A generic new platform for topological quantum computation using semiconductor heterostructures
- Dynamical Ensembles in Nonequilibrium Statistical Mechanics
- Entropy production along a stochastic trajectory and an integral fluctuation theorem
- Majorana Zero Modes and Topological Quantum Computation
- Exponential Protection of Zero Modes in Majorana Islands
- Majorana bound states in a coupled quantum-dot hybrid-nanowire system
- Realizing Majorana zero modes in superconductor-semiconductor heterostructures
- Electron Counting Statistics and Coherent States of Electric Current
- Scattering approach to parametric pumping
- Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes
- Counting statistics of single-electron transport in a quantum dot
- Quantized Majorana conductance
- Milestones toward Majorana-based quantum computing
- Floquet scattering theory of quantum pumps
- Coulomb-assisted braiding of Majorana fermions in a Josephson junction array
- Quantized conductance at the Majorana phase transition in a disordered superconducting wire
- Geometric phase from Aharonov-Bohm to Pancharatnam-Berry and beyond
- Berry-Phase induced Heat Pumping and its Impact on the Fluctuation Theorem
- Dissipation and noise in adiabatic quantum pumps
- Scattering theory of topological insulators and superconductors
- Counting statistics for arbitrary cycles in quantum pumps
- Mesoscopic Fluctuations of Adiabatic Charge Pumping in Quantum Dots
- Optimal Quantum Pumps
- Roadmap to Majorana surface codes
- Thermal Conductance of a Single-Electron Transistor
- Josephson junctions as threshold detectors for full counting statistics
- Counting Statistics of an Adiabatic Pump
- Floquet scattering theory for current and heat noise in large amplitude adiabatic pumps
- A geometric protocol for a robust Majorana magic gate
- Geometric properties of adiabatic quantum thermal machines
- Geometrical Pumping in Quantum Transport: Quantum Master Equation Approach
- Counting statistics of heat transport in harmonic junctions -- transient and steady states
- Nonadiabatic Control of Geometric Pumping
- Floquet scattering matrix theory of heat fluctuations in dynamical quantum conductors
- Universal Majorana thermoelectric noise
- Sensing Floquet-Majorana fermions via heat transfer
- Tuning of heat and charge transport by Majorana fermions
- Fast thermometry with a proximity Josephson junction
- Nanoscale Quantum Calorimetry with Electronic Temperature Fluctuations
- Dynamic Majorana resonances and universal symmetry of nonequilibrium thermoelectric quantum noise
- Full Counting Statistics of Cooper Pair Shuttling
- A scattering matrix formulation of the topological index of interacting fermions in one-dimensional superconductors
- Attractive and driven interaction in quantum dots: mechanisms for geometric pumping
- Geometric effects in non-equilibrium electron transfer statistics in adiabatically driven quantum junctions
- Statistics of an adiabatic charge pump
- Topologically protected heat pumping from braiding Majorana zero modes