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Updated: Jul 7, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Explicit state vector for Torres-Vega-Frederick phase space representation and its statistical behavior.

Li-yun Hu¹, Hong-yi Fan, Hai-liang Lu

¹Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, People's Republic of China. hlyun@sjtu.edu.cn

The Journal of Chemical Physics

|February 13, 2008

Summary

This summary is machine-generated.

We derived the explicit state vector for the Torres-Vega-Frederick phase space representation, denoted by Gamma. This representation exhibits statistical behavior and demonstrates a minimum uncertainty relation, identifying it as a coherent squeezed state.

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Last Updated: Jul 7, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Area of Science:

Quantum mechanics
Quantum optics
Chemical physics

Background:

The Torres-Vega-Frederick phase space representation offers a unique framework for describing quantum states.
Understanding the properties of this representation is crucial for advancing quantum mechanics and its applications.

Purpose of the Study:

To derive the explicit state vector for the Torres-Vega-Frederick phase space representation.
To analyze the statistical behavior and uncertainty relations within this representation.

Main Methods:

Derivation of the explicit state vector (Gamma).
Analysis of the Weyl ordered form of Gamma Gamma.
Demonstration of the minimum uncertainty relation for mid R:Gamma.

Main Results:

The explicit state vector for the Torres-Vega-Frederick phase space representation has been successfully derived.
The Weyl ordered form of Gamma Gamma reveals statistical properties of the marginal distribution.
The minimum uncertainty relation for mid R:Gamma confirms the state as a coherent squeezed state.

Conclusions:

The derived state vector provides a complete and nonorthogonal representation.
The findings offer insights into the statistical behavior and quantum properties of this phase space representation.
The identification as a coherent squeezed state has implications for quantum information and quantum optics.