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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

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Published on: August 2, 2019

Quantum chaos on a critical Fermi surface.

Aavishkar A Patel¹, Subir Sachdev^1,2

¹Department of Physics, Harvard University, Cambridge, MA 02138; sachdev@g.harvard.edu aavishkarpatel@g.harvard.edu.

Proceedings of the National Academy of Sciences of the United States of America

|February 9, 2017

Summary

We calculated quantum chaos parameters for a critical Fermi surface. Thermal diffusivity universally relates to these chaos parameters, independent of specific system details.

Keywords:

non-Fermi liquids quantum chaos quantum criticality thermal transport

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Area of Science:

Condensed matter physics
Quantum field theory

Background:

Investigating quantum chaos in systems lacking quasiparticle excitations is crucial for understanding emergent phenomena.
Critical Fermi surfaces present a unique theoretical challenge due to the absence of conventional quasiparticles.

Purpose of the Study:

To compute parameters characterizing many-body quantum chaos for a critical Fermi surface.
To determine the relationship between thermal diffusivity and quantum chaos parameters.

Main Methods:

Examining a theory of N species of fermions coupled to a U(1) gauge field in two spatial dimensions.
Utilizing an extended random-phase approximation to determine the Lyapunov rate and butterfly velocity.

Main Results:

Calculated Lyapunov rate and butterfly velocity for the critical Fermi surface.
Established a universal relationship between thermal diffusivity and quantum chaos parameters.
Demonstrated independence of this relationship from N, gauge coupling, Fermi velocity, curvature, and high-energy details.

Conclusions:

The study provides key parameters for many-body quantum chaos in a non-quasiparticle system.
A universal connection between thermal transport and quantum chaos is revealed.
This universal relationship offers insights into the fundamental properties of strongly correlated quantum matter.