An Ising-Glauber Spin Cluster Model for Temperature Dependent Magnetization Noise in SQUIDs

Abstract

Clusters of interacting two-level-systems (TLS),likely due to $F^{+}$ centers at the metal-insulator interface, are shown to self consistently lead to $1/f^{\alpha }$ magnetization noise in SQUIDs. By introducing a correlation-function calculation method and without any a priori assumptions on the distribution of fluctuation rates, it is shown why the flux noise is only weakly temperature dependent with $\alpha \lesssim 1$, while the inductance noise has a huge temperature dependence seen in experiment, even though the mechanism producing both spectra is the same. Though both ferromagnetic- RKKY and short-range-interactions (SRI) lead to strong flux-inductance-noise cross-correlations seen in experiment, the flux noise varies a lot with temperature for SRI. Hence it is unlikely that the TLS's time reversal symmetry is broken by the same mechanism which mediates surface ferromagnetism in nanoparticles and thin films of the same insulator materials.

References in corpus (23)

• Ferromagnetism as a universal feature of nanoparticles of the otherwise nonmagnetic oxides
• Decoherence in a superconducting quantum bit circuit
• 1/f noise: implications for solid-state quantum information
• Decoherence of flux qubits due to 1/f flux noise
• Model for l/f Flux Noise in SQUIDs and Qubits
• 1/f Flux Noise in Josephson Phase Qubits
• Magnetism in SQUIDs at Millikelvin Temperatures
• Microscopic origin of low frequency flux noise in Josephson circuits
• Dangling-bond spin relaxation and magnetic 1/f noise from the amorphous-semiconductor/oxide interface: Theory
• Lifetime and Coherence of Two-Level Defects in a Josephson Junction
• Localization of Metal-Induced Gap States at the Metal-Insulator Interface:Origin of Flux Noise in SQUIDs and Superconducting Qubits
• Design of a Lambda system for population transfer in superconducting nanocircuits
• $1/f$ noise in variable range hopping conduction
• Geometrical dependence of low frequency noise in superconducting flux qubits
• Spin-like susceptibility of metallic and insulating thin films at low temperature
• Many electron theory of 1/f-noise in hopping conductivity
• Flux $1/f^{\alpha }$ noise in 2D Heisenberg spin glasses: effects of weak anisotropic interactions
• Looping on the Bloch sphere: Oscillatory effects in dephasing of qubits subject to broad-spectrum noise
• Quasi-Hamiltonian Method for Computation of Decoherence Rates
• Aging Relation for Ising Spin Glasses
• Non-gaussian Noise in Quantum Spin Glasses and Interacting Two-level Systems
• Phenomenological noise model for superconducting qubits: two-state fluctuators and 1=f noise
• Magnetization Noise Induced Collapse and Revival of Rabi Oscillations in circuit QED

Cited by in corpus (5)

• The Theory of Spin Noise Spectroscopy: A Review
• Evolution of $1/f$ Flux Noise in Superconducting Qubits with Weak Magnetic Fields
• Flux-vector model of spin noise in superconducting circuits: Electron versus nuclear spins and role of phase transition
• 1/f Flux Noise in low-T${}_c$ SQUIDs due to Superparamagnetic Phase Transitions in Defect Clusters
• Telegraph flux noise induced beating Ramsey fringe in transmon qubits