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Transient Dynamical Phase Diagram of the Spin-Boson Model
Olga Goulko1, Hsing-Ta Chen2, Moshe Goldstein3
1University of Massachusetts Boston, Department of Physics, Boston, Massachusetts 02125, USA.
Physical Review Letters
|February 21, 2025
Summary
We explored the sub-Ohmic spin-boson model
Area of Science:
- Quantum dynamics
- Condensed matter physics
Background:
- The spin-boson model describes quantum systems interacting with their environment.
- Understanding its dynamics is crucial for quantum technologies.
Purpose of the Study:
- Investigate real-time dynamics of the sub-Ohmic spin-boson model.
- Characterize the zero-temperature quantum phase transition.
- Analyze mechanisms driving the transition from coherent to incoherent behavior.
Main Methods:
- Numerically exact inchworm quantum Monte Carlo algorithm.
- Analysis of short- and intermediate-time dynamics.
- Extraction of dynamical phase diagram signatures.
Main Results:
- Dynamical phase diagram differs from equilibrium phase diagram.
- Identified distinct critical couplings and critical exponents.
- Revealed two competing mechanisms for coherent-incoherent crossover.
Conclusions:
- The study provides a detailed dynamical phase diagram for the sub-Ohmic spin-boson model.
- Findings offer insights into quantum phase transitions and environmental coupling effects.
- Understanding these dynamics is key for controlling quantum systems.
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