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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Statistical Mechanics

Background:

  • Dynamic quantum phase transitions (DQPT) are a key area of research in quantum many-body systems.
  • Understanding the role of renormalization group (RG) fixed points and boundary conditions is crucial for characterizing these transitions.
  • Previous studies have explored DQPTs, but the influence of unphysical fixed points and boundary effects requires further investigation.

Purpose of the Study:

  • To investigate the nature of renormalization group (RG) fixed points in dynamic quantum phase transitions (DQPT).
  • To determine the impact of boundary conditions on bulk transitions in quantum systems undergoing DQPT.
  • To analyze specific models, namely the quantum Ising and three-state quantum Potts chains, to corroborate theoretical findings.

Main Methods:

  • Exact renormalization group (RG) analysis applied to quantum Ising models on scale-invariant lattices.
  • Analysis of the zeros of the Loschmidt amplitude to probe quantum phase transitions.
  • Investigation of the three-state quantum Potts chain to compare with the Ising model results.

Main Results:

  • Identified unphysical RG fixed points in DQPT scenarios relevant to thermal phase transitions.
  • Demonstrated that boundary conditions can become relevant, potentially suppressing bulk transitions entirely.
  • Established that DQPT in the three-state quantum Potts chain corresponds to a pair of period-2 fixed points.

Conclusions:

  • DQPTs can exhibit complex behavior influenced by unphysical RG fixed points and boundary effects.
  • Boundary conditions play a significant role in determining the occurrence and nature of bulk transitions in quantum systems.
  • The findings provide a deeper understanding of DQPTs and their distinctions from thermal phase transitions.