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

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Direct Approach to Quantum Tunneling.

Anders Andreassen¹, David Farhi¹, William Frost¹

¹Harvard University, Cambridge, Massachusetts 02138, USA.

Physical Review Letters

|December 17, 2016

Summary

This summary is machine-generated.

This study presents a new method for calculating decay rates in quantum field theories using a physical definition of tunneling probability. This approach bypasses complex potential deformations, offering a more direct and potentially precise calculation of decay rates.

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Area of Science:

Quantum Field Theory
Quantum Mechanics
Theoretical Physics

Background:

Decay rates of quasistable states are typically calculated using instanton methods.
Standard instanton methods rely on potential deformations and saddle-point approximations, obscuring physical scales and precision.
Existing semiclassical approaches offer limited insight into approximation accuracy.

Purpose of the Study:

To derive a direct formula for decay rates in quantum mechanics and quantum field theory.
To avoid reliance on unphysical potential deformations and analytic continuations.
To provide a more intuitive and precise method for calculating decay rates.

Main Methods:

Utilizing a physically defined tunneling probability.
Deriving the decay rate formula directly from the Minkowski path integral.
Applying the method to both quantum mechanics and quantum field theory.

Main Results:

A novel formula for decay rate calculation is derived.
The method bypasses the need for unphysical potential deformations.
The approach offers potential for nonperturbative calculations and precision.

Conclusions:

The new method provides a more direct and aesthetically simple approach to calculating decay rates.
This physically grounded method enhances understanding of precision in semiclassical approximations.
The derived formula has implications for both theoretical and computational physics.