Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Search research articles

Related Experiment Videos

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.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Polysubstitution Induced Centrosymmetric-to-Noncentrosymmetric Structural Transformation and Nonlinear-Optical Behavior: The Case of Na<sub>0.45</sub>Ag<sub>0.55</sub>Ga<sub>3</sub>Se<sub>5</sub>.

Inorganic chemistry·2024

Same author

Tracing the trajectory of photons through Fourier spectrum.

Optics express·2015

Same author

Comment on "Woltjer-Taylor state without Taylor's conjecture: plasma relaxation at all wavelengths".

Physical review letters·2013

Same author

New complex integration transformation and its compatibility with complex Weyl-Wigner transformation and entangled state representation.

Journal of the Optical Society of America. A, Optics, image science, and vision·2009

Same author

Symplectic-dilation mixed wavelet transform and its correspondence in quantum optics.

Optics letters·2009

Same author

Eigenfunctions of the complex fractional Fourier transform obtained in the context of quantum optics.

Journal of the Optical Society of America. A, Optics, image science, and vision·2008

Same journal

Quantum simulation of alignment dependent differential cross sections in co-propagating molecular beams at cold collision energies.

The Journal of chemical physics·2026

Same journal

Non-additive ion effects on the coil-globule equilibrium of a generic polymer in aqueous salt solutions.

The Journal of chemical physics·2026

Same journal

Insights into the unexpected small reduction of the temperature of maximum density of water by lithium chloride addition.

The Journal of chemical physics·2026

Same journal

Optical frequency comb double-resonance spectroscopy of the 9030-9175 cm-1 states of ethylene.

The Journal of chemical physics·2026

Same journal

Time reversal breaking of colloidal particles in cells.

The Journal of chemical physics·2026

Same journal

Photodynamics of amino acids under UV excitation: Extraterrestrial amino acids.

The Journal of chemical physics·2026

See all related articles

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.

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:

Related Experiment Videos

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.