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Related Experiment Video

Updated: Feb 22, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Using Hilbert transform and classical chains to simulate quantum walks.

Daxing Xiong^1,2, Felix Thiel², Eli Barkai²

¹Department of Physics, Fuzhou University, Fuzhou 350108, Fujian, China.

Physical Review. E

|September 28, 2017

Summary

This summary is machine-generated.

This study demonstrates simulating quantum dynamics, like quantum walks, using a classical spring chain. Classical particle momenta are used to reconstruct the quantum wave function, revealing insights into ballistic heat transport.

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Generation and Coherent Control of Pulsed Quantum Frequency Combs

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Area of Science:

Quantum physics simulation
Classical mechanics
Condensed matter physics

Background:

Quantum dynamics are challenging to simulate classically.
Understanding quantum walks and ballistic heat transport is crucial.
Feynman's concept of classical simulation of quantum physics remains an active research area.

Purpose of the Study:

To propose a novel classical simulation strategy for quantum dynamics.
To reconstruct quantum wave functions from classical system evolution.
To establish a connection between classical energy transport and quantum wave function properties.

Main Methods:

Utilizing a linearly coupled chain of springs as a classical analog device.
Extracting quantum wave function components from classical particle momenta and their Hilbert transforms.
Constructing many-body momentum and Hilbert transformed momentum pair correlation functions.
Relating classical energy and heat spreading densities to the wave function's modulus square.

Main Results:

Successfully obtained the quantum wave function from classical system evolution.
Demonstrated that classical momenta and their Hilbert transforms yield the real and imaginary parts of the wave function.
Established a relationship between classical energy/heat spreading and the wave function's modulus square.
Provided a new perspective on understanding ballistic heat transport.

Conclusions:

The proposed classical simulation strategy effectively captures quantum dynamics.
The method offers a pathway to visualize quantum phenomena using classical systems.
Results support Feynman's vision for classical simulation of quantum physics and offer new insights into heat transport mechanisms.