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Related Experiment Video

Updated: Jun 25, 2026

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

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

Published on: August 2, 2019

Quantum phase transition in the sub-Ohmic spin-boson model: quantum Monte Carlo study with a continuous imaginary

André Winter¹, Heiko Rieger, Matthias Vojta

¹Theoretische Physik, Universität des Saarlandes, 66041 Saarbrücken, Germany.

Physical Review Letters

|March 5, 2009

Summary

This study introduces a continuous time cluster algorithm for quantum systems interacting with a bosonic bath. For sub-Ohmic spin-boson models, it reveals classical critical exponents, differing from renormalization group predictions due to a specific variable.

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Last Updated: Jun 25, 2026

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

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

Published on: August 2, 2019

Area of Science:

Quantum physics
Condensed matter physics
Quantum information science

Background:

Two-level quantum systems are fundamental in quantum technologies.
Dissipative environments (bosonic baths) significantly impact quantum system dynamics.
The spin-boson model is a key theoretical framework for studying quantum dissipation.

Purpose of the Study:

To develop and apply a continuous time cluster algorithm for analyzing quantum systems coupled to a dissipative bath.
To investigate the critical behavior of the sub-Ohmic spin-boson model.
To identify the reasons for discrepancies with existing theoretical predictions.

Main Methods:

Development of a continuous time cluster algorithm.
Application of the algorithm to the sub-Ohmic spin-boson model.
Analysis of spectral function power (s) and its impact on critical exponents.

Main Results:

The algorithm successfully simulates two-level systems coupled to a dissipative bosonic bath.
For spectral function power s < 1/2, classical, mean-field-like critical exponents were observed.
A 'dangerously irrelevant variable' was identified as a potential source of discrepancy with renormalization group results.

Conclusions:

The continuous time cluster algorithm provides a valuable tool for studying quantum dissipation.
The findings highlight the importance of specific variables in determining critical behavior in quantum models.
Further investigation into the role of irrelevant variables is warranted for refining theoretical predictions.