Quantum phase properties of photon added and subtracted displaced Fock states
arXiv:1904.01603 · doi:10.1002/andp.201900141
Abstract
Quantum phase properties of photon added and subtracted displaced Fock states (and a set of quantum states which can be obtained as the limiting cases of these states) are investigated from a number of perspectives, and it is shown that the quantum phase properties are dependent on the quantum state engineering operations performed. Specifically, the analytic expressions for quantum phase distributions and angular distribution as well as measures of quantum phase fluctuation and phase dispersion are obtained. The uniform phase distribution of the initial Fock states is observed to be transformed by the unitary operation (i.e., displacement operator) into non-Gaussian shape, except for the initial vacuum state. It is observed that the phase distribution is symmetric with respect to the phase of the displacement parameter and becomes progressively narrower as its amplitude increases. The non-unitary (photon addition/subtraction) operations make it even narrower in contrast to the Fock parameter, which leads to broadness. The photon subtraction is observed to be a more powerful quantum state engineering tool in comparison to the photon addition. Further, one of the quantum phase fluctuation parameters is found to reveal the existence of antibunching in both the engineered quantum states under consideration. Finally, the relevance of the engineered quantum states in the quantum phase estimation is also discussed, and photon added displaced Fock state is shown to be preferable for the task.
Quantum phase properties of an engineered quantum state has been studied from various perspectives
References in corpus (9)
- Entanglement-free Heisenberg-limited phase estimation
- Single-photon excitation of a coherent state: catching the elementary step of stimulated light emission
- Generating superposition of up-to three photons for continuous variable quantum information processing
- Quantum state engineering by click counting
- Lower- and higher-order nonclassical properties of photon added and subtracted displaced Fock states
- Phase Diffusion in Quantum Dissipative Systems
- Phase diffusion pattern in quantum nondemolition systems
- Engineering superpositions of displaced number states of a trapped ion
- Adaptive loop-based subtraction of a single photon from a traveling beam of light
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