Spin-spin correlators in Majorana representation

Abstract

In the Majorana representation of a spin 1/2 we find an identity which relates spin-spin correlators to one-particle fermionic correlators. This should be contrasted with the straightforward approach in which two-particle (four-fermion) correlators need to be calculated. We discuss applications to the analysis of the dynamics of a spin coupled to a dissipative environment and of a quantum detector performing a continuous measurement of a qubit's state.

References in corpus (7)

• Noise and decoherence in quantum two-level systems
• Possible Realization of Odd Frequency Pairing in Heavy Fermion Compounds
• Pedestrian Approach to the Two-Channel Kondo Model
• New Fermionic Description of Quantum S = 1/2 Antiferromargnet
• On the perturbative expansion of the magnetization in the out-of-equilibrium Kondo model
• Spin dynamics from Majorana fermions
• Tunneling measurement of quantum spin oscillations

Cited by in corpus (50)

• Introduction to the Dicke model: from equilibrium to nonequilibrium, and vice versa
• AC Josephson effect in finite-length nanowire junctions with Majorana modes
• Nonequilibrium Transport through a Kondo Dot: Decoherence Effects
• Frustrated Quantum Spins at finite Temperature: Pseudo-Majorana functional RG approach
• Dicke phase transition without total spin conservation
• Spin dynamics from Majorana fermions
• Full Counting Statistics of Interacting Electrons
• Scrambling in the Dicke model
• Pseudo-fermion functional renormalization group for spin models
• Thermal rectification through a nonlinear quantum resonator
• Exact renormalization group for quantum spin systems
• Majorana representation for dissipative spin systems
• Nonequilibrium spin-boson model: from weak to strong coupling
• Majorana representations of spin and an alternative solution of the Kitaev honeycomb model
• Energy current and its statistics in the nonequilibrium spin-boson model: Majorana fermion representation
• Optimal broadening of finite energy spectra in the numerical renormalization group: application to dissipative dynamics in two-level systems
• Dissipative spin dynamics near a quantum critical point: Numerical Renormalization Group and Majorana diagrammatics
• Dynamical spin-spin correlation functions in the Kondo model out of equilibrium
• Output spectrum of a measuring device at arbitrary voltage and temperature
• Fermionic formalism for driven-dissipative multi-level systems
• Majorana spin liquid and dimensional reduction in Cs2CuCl4
• Floquet topological phases coupled to environments and the induced photocurrent
• Quantum phase transition in the spin boson model
• Far from equilibrium field theory for strongly coupled light and matter: dynamics of frustrated multi-mode cavity QED
• Nonequilibrium Spin Noise and Noise of Susceptibility
• A rich man's derivation of scaling laws for the Kondo model
• Exact chiral spin liquid state in a Kitaev type spin model
• Quantum-to-classical crossover in the spin glass dynamics of cavity QED simulators
• Using Majorana spin-1/2 representation for the spin-boson model
• Temperature flow in pseudo-Majorana functional renormalization for quantum spins
• Transport properties of fully screened Kondo models
• Bilinear Majorana representations for spin operators with spin magnitudes $S>1/2$
• Spin functional renormalization group for the $J_1{J}_2{J}_3$ quantum Heisenberg model
• Green's functions for spin boson systems: Beyond conventional perturbation theories
• Spin Transport in Quantum Spin-Orbital Liquids
• Demystifying the Holographic Mystique
• Properties and application of the SO(3) Majorana representation of spin: equivalence with the Jordan-Wigner transformation and exact $Z_2$ gauge theories for spin models
• Quantum correlation functions through tensor network path integral
• Field-induced spin liquid in the decorated square-kagome antiferromagnet nabokoite KCu${}_7$TeO${}_4$(SO${}_4$)${}_5$Cl
• Dynamic magnetostriction for antiferromagnets
• Local magnetic moments and electronic transport in closed loop quantum dot systems: a case of quadruple quantum dot ring at and away from equilibrium
• Magnetotransport in the Kondo model with ferromagnetic exchange interaction
• Prethermalization of light and matter in cavity-coupled Rydberg arrays
• Frustrated two-level impurities in two-dimensional antiferromagnets
• Dynamics of photo-induced ferromagnetism in oxides with orbital degeneracy
• Hierarchy of correlations for the Ising model in the Majorana representation
• Majorana approach to the stochastic theory of lineshapes
• Perturbative approach to the capacitive interaction between a sensor quantum dot and a charge qubit
• Kondo Compensation in a Pseudogap Phase: a Renormalization Group Study
• Majorana Diagrammatics for Quantum Spin-1/2 Models