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Updated: Aug 27, 2025

Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Hidden Phase of the Spin-Boson Model
Florian Otterpohl1,2, Peter Nalbach3, Michael Thorwart2,4
1Center for Computational Quantum Physics, Flatiron Institute, New York, New York 10010, USA.
Quantum systems in noisy environments exhibit complex behaviors. This study reveals a new aperiodic dynamics phase in quantum two-level systems coupled to sub-Ohmic baths, driven by bath oscillations.
Area of Science:
- Quantum mechanics
- Condensed matter physics
- Statistical mechanics
Background:
- Quantum two-level systems coupled to baths exhibit complex dynamics.
- Sub-Ohmic baths induce significant low-frequency quantum fluctuations.
- Non-equilibrium quantum dynamics can become highly non-Markovian.
Purpose of the Study:
- Investigate the phase diagram of polarization dynamics in a quantum two-level system.
- Identify novel phases beyond damped oscillations and overdamped decay.
- Characterize the behavior of quantum systems under strong coupling to sub-Ohmic baths.
Main Methods:
- Numerically exact time-evolving matrix product operator (TEMPO) approach.
- Analysis of quantum two-level system dynamics.
- Determination of phase boundaries in the parameter space.
Main Results:
- Identified a new phase characterized by aperiodic behavior at strong coupling.
- Mapped the phase diagram, including damped coherent oscillations, overdamped decay, and the new aperiodic phase.
- Demonstrated that the quantum two-state system dynamics are slaved to the oscillatory bath.
Conclusions:
- The interplay between quantum systems and sub-Ohmic baths leads to rich non-equilibrium dynamics.
- A novel aperiodic dynamics regime exists for strongly coupled quantum two-level systems.
- Bath oscillations play a crucial role in dictating the system's behavior.
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