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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Many-body dynamics

Background:

  • Quantum measurements can induce phase transitions (MIPs) in quantum many-body systems.
  • The effect of long-range interactions on MIPs is not fully understood.
  • Previous studies often focused on short-range interactions.

Purpose of the Study:

  • To investigate the robustness of MIPs in the presence of long-range interactions.
  • To classify the regimes where MIPs are observed or absent based on interaction range.
  • To identify conditions for observing MIPs in quantum many-body dynamics.

Main Methods:

  • Utilizing fermion models to simulate quantum many-body dynamics.
  • Analyzing the decay of interactions with distance (r^{-α}).
  • Comparing integrable and nonintegrable systems.

Main Results:

  • MIPs are observed when the interaction decay exponent α exceeds a critical value (α > α_{c}).
  • MIPs are absent for weaker long-range interactions (α < α_{c}).
  • Identified sufficient conditions for MIP observation: α > d/2+1 for bilinear systems and α > d+1 for nonintegrable systems (d: spatial dimension).

Conclusions:

  • The robustness of MIPs is critically dependent on the range of interactions.
  • The derived conditions for observing MIPs are shown to be optimal through numerical calculations.
  • This work provides a framework for understanding measurement effects in diverse quantum systems.