Integrability-based analysis of the hyperfine-interaction -nduced decoherence in quantum dots

Abstract

Using the Algebraic Bethe Ansatz in conjunction with a simple Monte Carlo sampling technique, we study the problem of the decoherence of a central spin coupled to a nuclear spin bath. We describe in detail the full crossover from strong to weak external magnetic field field, a limit where a large non-decaying coherence factor is found. This feature is explained by Bose-Einstein-condensate-like physics which also allows us to argue that the corresponding zero frequency peak would not be broadened by statistical or ensemble averaging.

5 pages, 4 figures, published version

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• Dynamics and decoherence in the central spin model in the low-field limit
• Spin-noise in the anisotropic central spin model
• The quench action approach in finite integrable spin chains
• Spin polarization through Floquet resonances in a driven central spin model
• Integrability and dark states in an anisotropic central spin model
• Influcence of the nuclear electric quadrupolar interaction on the coherence time of hole- and electron-spins confined in semiconductor quantum dots
• From quantum-mechanical to classical dynamics in the central-spin model
• Exact quantum dynamics of XXZ central spin problems
• Theory of dynamic nuclear polarization and feedback in quantum dots
• On the determinant representations of Gaudin models' scalar products and form factors
• Quantum quench in the attractive regime of the sine-Gordon model
• Quantum model for mode locking in pulsed semiconductor quantum dots
• Integrable spin-1/2 Richardson-Gaudin XYZ models in an arbitrary magnetic field
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• Multistate Landau-Zener models with all levels crossing at one point
• Conservation laws protect dynamic spin correlations from decay: Limited role of integrability in the central spin model
• Magnetic field dependence of the electron spin revival amplitude in periodically pulsed quantum dots
• Influence of the nuclear Zeeman effect on mode locking in pulsed semiconductor quantum dots
• Simple and accurate method for central spin problems
• Persistent dark states in anisotropic central spin models
• Algebraic Bethe Ansätze and eigenvalue-based determinants for Dicke-Jaynes-Cummings-Gaudin quantum integrable models
• Persisting correlations of a central spin coupled to large spin baths
• Spin noise in a quantum dot ensemble: from a quantum mechanical to a semi-classical description
• Spin noise of localized electrons interacting with optically cooled nuclei
• Competing interactions in semiconductor quantum dots
• Separable and entangled states in the high-spin XX central spin model
• Nuclear frequency focusing in periodically pulsed semiconductor quantum dots described by infinite classical central spin models
• Decoherence of a single spin coupled to an interacting spin bath
• Spin dynamics of a confined electron interacting with magnetic or nuclear spins: A semiclassical approach
• Quadratic operator relations and Bethe equations for spin-1/2 Richardson-Gaudin models
• Efficient algorithms for the dynamics of large and infinite classical central spin models
• The theory of coherent dynamic nuclear polarization in quantum dots
• High-fidelity quantum memory utilizing inhomogeneous nuclear polarization in a quantum dot
• Quantum quenches in integrable systems: Constraints from factorisation
• Non-equilibrium dynamics of the Tavis-Cummings model
• Theory of box-model hyperfine couplings and transport signatures of long-range nuclear-spin coherence in a quantum-dot spin valve
• Integrability and duality in spin chains
• Common framework and quadratic Bethe equations for rational Gaudin magnets in arbitrarily oriented magnetic fields
• Spin-chain-star systems: entangling multiple chains of spin qubits
• Interplay of spin mode locking and nuclei-induced frequency focusing in quantum dots
• Integrability and quench dynamics in the spin-1 central spin XX model
• A variational method for integrability-breaking Richardson-Gaudin models
• Comparison of the Iterated Equation of Motion Approach and the Density Matrix Formalism for the Quantum Rabi Model
• Quantum mechanical treatment of large spin baths
• Integrability, multifractality, and two-photon dynamics in disordered Tavis-Cummings models
• Coherence of an extended central spin model with a coupled spin bath
• Increased coherence time in narrowed bath states in quantum dots
• Cross-correlation spectra in interacting quantum dot systems
• Quantum Coherence from Periodic Driving with Laser Pulses and Decay
• Decoherence of an entangled state of a strongly-correlated double quantum dot structure through tunneling processes
• Determinant representation of the domain-wall boundary condition partition function of a Richardson-Gaudin model containing one arbitrary spin
• The Elliptic Gaudin Model: a Numerical Study
• On the exact solvability of the anisotropic central spin model: An operator approach
• Steady-states of out-of-equlibrium inhomogeneous Richardson-Gaudin quantum integrable models in quantum optics
• Quantum dynamics of Gaudin magnets
• Relaxation of antiferromagnetic order and growth of Rényi entropy in a generalized Heisenberg star
• Noise-resistant quantum memory enabled by Hamiltonian engineering
• Finite temperature single-particle Green's function in the Lieb-Liniger model
• "Bethe-Ansatz-free" eigenstates of spin-1/2 Richardson-Gaudin integrable models
• Simulation of nonequilibrium spin dynamics in quantum dots subjected to periodic laser pulses
• Finding the Dynamics of an Integrable Quantum Many-Body System via Machine Learning
• Influence of quadrupolar interaction on NMR spectroscopy
• Truncated Wigner approximation for the bosonic model of large spin baths