Lattice quantum magnetometry

Abstract

We put forward the idea of lattice quantum magnetometry, i.e. quantum sensing of magnetic fields by a charged (spinless) particle placed on a finite two-dimensional lattice. In particular, we focus on the detection of a locally static transverse magnetic field, either homogeneous or inhomogeneous, by performing ground state measurements. The system turns out to be of interest as quantum magnetometer, since it provides a non-negligible quantum Fisher information (QFI) in a large range of configurations. Moreover, the QFI shows some relevant peaks, determined by the spectral properties of the Hamiltonian, suggesting that certain values of the magnetic fields may be estimated better than the others, depending on the value of other tunable parameters. We also assess the performance of coarse-grained position measurement, showing that it may be employed to realize nearly optimal estimation strategies.

References in corpus (10)

• High-sensitivity diamond magnetometer with nanoscale resolution
• Scanning magnetic field microscope with a diamond single-spin sensor
• Individual quantum probes for optimal thermometry
• Quantum metrology in Lipkin-Meshkov-Glick critical systems
• Continuous-variable quantum probes for structured environments
• Probing the spectral density of a dissipative qubit via quantum synchronization
• Quantum Walks, Quantum Gates and Quantum Computers
• Characterization of qubit chains by Feynman probes
• Noisy quantum walks of two indistinguishable interacting particles
• Quantum metrology at level anti-crossing