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Updated: May 24, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

High-Precision Bootstrap of Multimatrix Quantum Mechanics.

Henry W Lin1,2, Zechuan Zheng3,4

  • 1Stanford University, Leinweber Institute for Theoretical Physics, Stanford, California 94305, USA.

Physical Review Letters
|May 22, 2026
PubMed
Summary
This summary is machine-generated.

Researchers used the matrix bootstrap to find rigorous bounds on quantum mechanics dynamics in the infinite N limit. This method provides precise estimates for observables in the confining phase of matrix theories.

Related Experiment Videos

Last Updated: May 24, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Area of Science:

  • Theoretical Physics
  • Quantum Mechanics
  • High-Energy Physics

Background:

  • Matrix quantum mechanics is a key framework for studying quantum field theories, particularly those arising from dimensional reduction of Yang-Mills theories.
  • Understanding the behavior of these theories in the large-N limit is crucial for insights into phenomena like confinement.

Purpose of the Study:

  • To rigorously bound the ground-state dynamics of matrix quantum mechanics in the confining phase.
  • To estimate specific low-order observables with high precision using advanced computational techniques.

Main Methods:

  • Application of the matrix bootstrap method to constrain observables.
  • Exploitation of model symmetries and nonlinear relaxation techniques.
  • Imposition of constraints on traces of matrix words up to length 14.

Main Results:

  • Rigorous bounds were established for the large-N ground-state dynamics.
  • Estimates for selected low-order observables were obtained with accuracy to eight significant digits.
  • The matrix bootstrap proved effective for analyzing complex quantum mechanical systems.

Conclusions:

  • The study demonstrates the power of the matrix bootstrap for quantitative analysis in quantum mechanics.
  • Precise predictions for observables in confining matrix theories are now achievable.
  • This work offers a robust framework for future investigations into large-N matrix models.