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Asynchronism and nonequilibrium phase transitions in (1+1)-dimensional quantum cellular automata
Edward Gillman1,2, Federico Carollo3, Igor Lesanovsky1,2,3
1School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, United Kingdom.
Researchers introduce a method to extend quantum cellular automata into quantum nonequilibrium models by incorporating asynchronism. This reveals an "asynchronism transition" impacting phase transitions, linking to quantum contact process observations.
Area of Science:
- Quantum physics
- Complex systems
- Computational science
Background:
- Probabilistic cellular automata model classical nonequilibrium processes.
- Quantum cellular automata (QCA) utilize quantum gates for state propagation, forming (1+1)-dimensional structures.
- These QCA are special cases of recurrent quantum neural networks.
Purpose of the Study:
- To present a general method for extending QCA into genuinely quantum nonequilibrium models.
- To systematically include asynchronism in quantum automaton models.
- To investigate the impact of asynchronism on phase transitions.
Main Methods:
- Developed a general prescription for incorporating asynchronism into QCA models.
- Applied the method to the classical contact process, creating a model linked to the quantum contact process (QCP).
- Studied the mean-field behavior of the resulting quantum nonequilibrium model.
Main Results:
- Demonstrated the extension of QCA into quantum nonequilibrium models via asynchronism.
- Observed evidence of an "asynchronism transition" in the mean-field behavior.
- Linked this transition to phenomena observed in the quantum contact process (QCP).
Conclusions:
- Asynchronism is a key factor in developing quantum nonequilibrium models.
- The "asynchronism transition" signifies a qualitative change in phase transition behavior.
- The findings provide insights into the quantum contact process and open quantum systems.
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