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Quantum Phase Transition in the Spin-Boson Model: A Multilayer Multiconfiguration Time-Dependent Hartree Study.
Haobin Wang1,2, Jiushu Shao3
1Department of Chemistry , University of Colorado Denver , Denver , Colorado 80217-3364 , United States.
This study investigates quantum phase transitions in the spin-boson model using multilayer improved relaxation. Researchers successfully analyzed the delocalization-localization transition at zero temperature, confirming findings with key properties.
Area of Science:
- Quantum physics
- Condensed matter theory
- Computational physics
Background:
- The spin-boson model is a fundamental system for studying quantum phase transitions.
- Understanding delocalization-localization transitions is crucial in various quantum phenomena.
- Zero-temperature quantum phase transitions exhibit unique behaviors.
Purpose of the Study:
- To apply the multilayer improved relaxation method to the spin-boson model.
- To investigate the delocalization-localization transition at zero temperature.
- To analyze quantum phase transition properties using specific metrics.
Main Methods:
- Utilized multilayer improved relaxation for quantum phase transition studies.
- Employed iterative diagonalization of the Boltzmann operator matrix.
- Applied Lanczos/Arnoldi method and multilayer multiconfiguration time-dependent Hartree imaginary time propagation.
- Relaxed single-particle functions across all layers.
Main Results:
- Successfully analyzed the delocalization-localization transition in the spin-boson model.
- Calculated energy eigenstates and properties relevant to quantum phase transitions.
- Observed consistent findings with appropriate scaling parameters.
Conclusions:
- The multilayer improved relaxation method is effective for studying quantum phase transitions.
- The delocalization-localization transition in the spin-boson model at zero temperature was accurately characterized.
- Energy splitting and magnetic susceptibility serve as reliable indicators for quantum phase transitions.
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