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Quantum and Classical Temporal Correlations in (1+1)D Quantum Cellular Automata.

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We studied quantum systems using quantum cellular automata to understand entanglement and coherence near critical points. We found universal power-law behavior in coherence dynamics, revealing a new critical exponent unique to quantum systems.

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Area of Science:

  • Quantum physics
  • Statistical mechanics
  • Complex systems

Background:

  • Quantum systems can exhibit nonequilibrium steady-state phase transitions.
  • Understanding entanglement and coherence dynamics near criticality is crucial.
  • Classical cellular automata are used to model complex systems.

Purpose of the Study:

  • To investigate entanglement and coherence evolution in quantum systems near criticality.
  • To analyze unconventional correlations, including time-directed entanglement.
  • To identify universal behaviors and critical exponents in quantum phase transitions.

Main Methods:

  • Employing (1+1)-dimensional quantum cellular automata.
  • Directly accessing the space-time structure of nonequilibrium dynamics.
  • Analyzing correlations like time-directed entanglement and isolating coherence.

Main Results:

  • Coherence dynamics exhibit universal power-law behavior near criticality.
  • Estimated universal critical exponents for entanglement and coherence.
  • Identified a new critical exponent unique to quantum systems within the directed percolation universality class.

Conclusions:

  • Quantum cellular automata provide a powerful tool for studying quantum criticality.
  • Coherence plays a key role in the universal behavior of quantum systems near phase transitions.
  • The findings offer new insights into the nature of quantum correlations in nonequilibrium systems.