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Standing Waves in a Cavity01:28

Standing Waves in a Cavity

912
A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
912

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Time Crystal in a Single-Mode Nonlinear Cavity.

Yaohua Li1, Chenyang Wang1, Yuanjiang Tang1

  • 1State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing 100084, China.

Physical Review Letters
|May 17, 2024
PubMed
Summary
This summary is machine-generated.

We demonstrate a time crystal in a nonlinear cavity, a novel phase of matter breaking time-translation symmetry. This discovery, driven by gain and damping, offers new insights into nonequilibrium physics and quantum systems.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Nonlinear dynamics

Background:

  • Time crystals are a novel class of nonequilibrium phases characterized by broken time-translational symmetry.
  • Understanding their formation and properties in experimentally accessible systems is a key challenge.

Purpose of the Study:

  • To demonstrate the existence of a time crystal in a single-mode nonlinear cavity.
  • To investigate the underlying mechanisms and spectral properties of this time crystal phase.

Main Methods:

  • Utilizing a single-mode nonlinear cavity with linear gain and nonlinear damping.
  • Analyzing the Liouvillian spectrum for dissipative gap closing and pure imaginary eigenvalues in the thermodynamic limit.
  • Observing quantum oscillations and long-timescale dissipative evolution.

Main Results:

  • A time crystal phase was successfully demonstrated in the nonlinear cavity.
  • Sharp dissipative gap closing and pure imaginary Liouvillian eigenvalues were identified in the thermodynamic limit.
  • A metastable regime with quantum oscillations preceded a long-timescale dissipative evolution, indicating a dissipative phase transition at the Hopf bifurcation.

Conclusions:

  • The study establishes a practical platform for realizing and studying time crystals.
  • The findings deepen the understanding of nonequilibrium phases and dissipative quantum systems.
  • This work opens new avenues for experimental investigations and theoretical exploration of time crystals.