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

Quantum-classical correspondence in response theory.

Maksym Kryvohuz¹, Jianshu Cao

¹Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.

Physical Review Letters

|December 31, 2005

Summary

We explored the quantum commutator and classical Poisson brackets in response theory. Including higher-order terms refines quantum-classical correspondence, with validity limited by anharmonicity.

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

Many-Body Exciton Interactions, Coherence, and Transport in Perovskite Quantum Dots.

Nano letters·2026

Same author

Relation between Structure and Functionality in Photosynthetic Antenna Complex of Green Sulfur Bacteria: Efficiency under Natural Sunlight Pumping.

The journal of physical chemistry. B·2026

Same author

The effect of an optical cavity on diabatic tunneling in an ensemble of symmetric double-well systems.

The Journal of chemical physics·2025

Same author

Enhanced Metal Surface Processing Through the No-Stray-Corrosion Controllable Electrolyte DistributionElectrochemical Machining Method Utilizing a Water-Absorbent Porous Ball.

Micromachines·2025

Same author

Environment-assisted quantum transport of excitons in perovskite nanocrystal superlattices.

Nature communications·2025

Same author

Extracting kinetic information from short-time trajectories: relaxation and disorder of lossy cavity polaritons.

Nanophotonics (Berlin, Germany)·2024

Area of Science:

Quantum mechanics
Statistical mechanics
Theoretical physics

Background:

The correspondence principle links quantum mechanics and classical mechanics.
Response theory describes system behavior under external influences.

Purpose of the Study:

Examine the quantum commutator-classical Poisson bracket correspondence in response theory.
Investigate the validity and limitations of the classical limit.

Main Methods:

Utilized Weyl-Wigner transformations for phase space representation.
Analyzed response functions and their expansions.
Resummed higher-order terms in the ħ expansion.

Main Results:

Classical response function diverges at long times when higher-order terms are ignored.
Systematic inclusion of higher-order terms improves accuracy.
Established a refined classical-quantum correspondence.

Conclusions:

The classical limit's validity is inversely proportional to anharmonicity in quasiperiodic dynamics.
Higher-order corrections are crucial for accurate quantum-classical correspondence in response theory.

Related Experiment Videos