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Area of Science:

  • Condensed Matter Physics
  • Quantum Many-Body Physics
  • Materials Science

Background:

  • Floquet engineering offers a method to design quantum materials with tailored properties.
  • Time-periodic drives can induce exotic quantum phenomena and non-equilibrium states.
  • Understanding symmetry breaking in driven quantum systems is crucial.

Purpose of the Study:

  • To investigate the induction of non-equilibrium correlated states with spontaneously broken symmetry in semiconductors using Floquet engineering.
  • To explore the emergence of quantum liquid crystalline order under resonant driving.
  • To determine the phase diagram and conditions for spontaneous symmetry breaking.

Main Methods:

  • Utilizing Floquet engineering with coherent time-periodic drives.
  • Employing numerical calculations to simulate the system's behavior.
  • Comparing numerical results with phenomenological predictions.
  • Analyzing the interplay of driving, interactions, and dissipation.

Main Results:

  • Demonstrated spontaneous development of quantum liquid crystalline order in lightly doped semiconductors.
  • Observed time-rotating anisotropy and spontaneously broken symmetry.
  • Identified the phase transition occurring in a steady state driven by external fields and interactions.
  • Obtained a phase diagram mapping the conditions for symmetry breaking.

Conclusions:

  • Floquet engineering is a viable route to induce non-equilibrium quantum phases with dynamical broken symmetry.
  • Coherent driving can create designer quantum states with emergent properties in semiconductors.
  • The interplay between driving, electron interactions, and dissipation governs the observed phase transitions.