# Quantum sensing of rotation velocity based on transverse field Ising model

## TL;DR

This paper proposes a quantum sensing method for rotation velocity using a transverse-field Ising model (TFIM) at its critical point, leveraging its sensitivity to rotational effects for precise measurements.

## Contribution

It introduces a novel quantum sensing scheme based on TFIM's critical dynamics, showing how rotation affects the Hamiltonian and can be detected via Loschmidt echo.

## Key findings

- The sensing resolution is proportional to the coupling strength and the square root of the number of spins.
- Rotation influences the effective Hamiltonian, enabling sensitive detection at the quantum critical point.
- The scheme's resolution is characterized by the Loschmidt echo's half-width.

## Abstract

We study a transverse-field Ising model (TFIM) in a rotational reference frame. We find that the effective Hamiltonian of the TFIM of this system depends on the system's rotation velocity. Since the rotation contributes an additional transverse field, the dynamics of TFIM sensitively responses to the rotation velocity at the critical point of quantum phase transition. This observation means that the TFIM can be used for quantum sensing of rotation velocity that can sensitively detect rotation velocity of the total system at the critical point. It is found that the resolution of the quantum sensing scheme we proposed is characterized by the half-width of Loschmidt echo of the dynamics of TFIM when it couples to a quantum system S. And the resolution of this quantum sensing scheme is proportional to the coupling strength \delta between the quantum system S and the TFIM, and to the square root of the number of spins N belonging the TFIM.