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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Statistical mechanics

Background:

  • Quantum states in complex systems are influenced by environmental interactions.
  • Standard Markovian models fail to capture these intricate environmental effects.
  • Simulating large quantum systems is computationally demanding due to many-body interactions and environmental feedback.

Purpose of the Study:

  • To investigate reservoir-induced long-range temporal correlations in finite Ising-type spin chains.
  • To explore quantum dynamics under non-Markovian environmental effects.
  • To understand the interplay of thermal, quantum, and magnetic interactions.

Main Methods:

  • Utilized the quantum dissipation with minimally extended state space (QMDESS) approach.
  • Simulated quantum time evolution of Ising-type spin chains.
  • Investigated systems with thermal reservoirs exhibiting ohmic and subohmic spectral densities from finite to zero temperature.

Main Results:

  • Observed rich patterns of dynamical phases driven by dissipation.
  • Identified dissipative-induced phase transitions.
  • Revealed complex spatiotemporal correlations arising from environmental interactions.

Conclusions:

  • The QMDESS approach effectively models non-Markovian environmental effects in quantum systems.
  • Competition between different fluctuations and interactions leads to novel dynamical phases.
  • Environmental feedback significantly impacts quantum correlations and phase behavior in finite spin chains.