Compass state: Effect of squeezing and displacement on the Fock space

Abstract

We investigate a broad class of non-classical states, composed of superposed squeezed and displaced number states. The phase space structure is analysed, keeping in mind, Heisenberg limited sensitivity in parameter estimation. Appropriate squeezing and displacement parameters are identified, wherein state fidelity in comparison to metrologically sensitive compass state, is more than 99$\%$. Also, the variance in small shifts measurements, is found equal for both proposed and compass states. They show similar behaviour with change in average photon number. In metrological application, number variance of the compass state being small for low coherent amplitude, suggests its potential to estimate damping parameter.

References in corpus (12)

• Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
• Generation of a superposition of odd photon number states for quantum information networks
• Deep Strong Coupling Regime of the Jaynes-Cummings model
• Quantum metrology at the Heisenberg limit with ion traps
• Superposition of two-mode squeezed states for quantum information processing and quantum sensing
• Entanglement induced Sub-Planck structures
• Deterministic generation of a four-component optical cat state
• Quantum metrology of noisy spreading channels
• Photon-by-photon quantum light state engineering
• Sensing Single Photon in a Cat State
• Quantum sensing of open systems: Estimation of damping constants and temperature
• Probing the spectrum of the Jaynes-Cummings-Rabi model by its isomorphism to an atom inside a parametric amplifier cavity

Cited by in corpus (4)

• Compasslike states in a thermal reservoir and fragility of their nonclassical features
• Multicomponent cat states with sub-Planckian structures and their optomechanical analogues
• Optimal sensing of photon addition and subtraction on nonclassical light
• Optimal Displacement Sensing with Spin-Dependent Squeezed States