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

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Quantum Geometry and Bounds on Dissipation in Slowly Driven Quantum Systems.

Iliya Esin^1,2, Étienne Lantagne-Hurtubise^1,3, Frederik Nathan^1,4

¹California Institute of Technology, Department of Physics and Institute for Quantum Information and Matter, Pasadena, California 91125, USA.

Physical Review Letters

|April 25, 2025

Summary

Energy dissipation in quantum systems is geometrically linked to driving protocols. This study establishes bounds on dissipation rates, connecting topology and system-bath coupling for optimal protocol design.

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Area of Science:

Quantum physics
Thermodynamics
Geometry

Background:

Understanding energy dissipation in open quantum systems is crucial for quantum technologies.
Markovian quantum systems driven slowly at low temperatures exhibit unique behaviors.
The geometry of driving protocols can influence system dynamics.

Purpose of the Study:

To establish a link between energy dissipation and the geometric properties of driving protocols in quantum systems.
To derive lower bounds on dissipation rates for specific protocols like two-tone driving.
To provide design principles for optimizing quantum driving protocols.

Main Methods:

Utilizing the quantum (Fubini-Study) metric to quantify the geometry of driving protocols.
Analyzing energy dissipation in slowly driven, Markovian quantum systems at low temperatures.
Establishing lower bounds on dissipation rates for two-tone protocols.

Main Results:

Energy dissipation is directly related to the quantum geometric metric of the driving protocol.
Lower bounds on dissipation rates were established for two-tone protocols.
In certain limits, these bounds depend on protocol topology and system-bath coupling quality factor.

Conclusions:

The study bridges topological and geometric phenomena with energy dissipation in open quantum systems.
The findings offer design principles for creating optimal driving protocols.
This work advances the understanding of dissipation in driven quantum systems.