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Related Concept Videos

Sampling Continuous Time Signal01:11

Sampling Continuous Time Signal

299
In signal processing, a continuous-time signal can be sampled using an impulse-train sampling technique, followed by the zero-order hold method. Impulse-train sampling involves the use of a periodic impulse train, which consists of a series of delta functions spaced at regular intervals determined by the sampling period. When a continuous-time signal is multiplied by this impulse train, it generates impulses with amplitudes corresponding to the signal's values at the sampling points.
In the...
299
Basic Continuous Time Signals01:22

Basic Continuous Time Signals

247
Basic continuous-time signals include the unit step function, unit impulse function, and unit ramp function, collectively referred to as singularity functions. Singularity functions are characterized by discontinuities or discontinuous derivatives.
The unit step function, denoted u(t), is zero for negative time values and one for positive time values, exhibiting a discontinuity at t=0. This function often represents abrupt changes, such as the step voltage introduced when turning a car's...
247

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Measurement-Induced Continuous Time Crystals.

Midhun Krishna1, Parvinder Solanki1, Michal Hajdušek2,3

  • 1Department of Physics, Indian Institute of Technology-Bombay, Powai, Mumbai 400076, India.

Physical Review Letters
|April 28, 2023
PubMed
Summary
This summary is machine-generated.

Strong measurements and thermodynamic limits create a phase transition, leading to a continuous time crystal. This phenomenon results in oscillating magnetization in a spin star model under continuous measurement.

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Area of Science:

  • Quantum physics
  • Condensed matter physics

Background:

  • Strong measurements typically confine quantum systems to unitary evolution.
  • Dissipative terms are usually suppressed under strong measurement conditions.

Purpose of the Study:

  • To investigate novel quantum phenomena arising from the interplay of strong measurements and the thermodynamic limit.
  • To explore the emergence of time-translation symmetry breaking in quantum systems.

Main Methods:

  • Utilizing a spin star model with a centrally measured spin.
  • Analyzing system dynamics across various parameter regimes, focusing on measurement strength.
  • Investigating the thermodynamic limit of ancilla spins.

Main Results:

  • A competition between strong measurements and the thermodynamic limit induces a phase transition.
  • Above a critical measurement strength, the system exhibits time-translation symmetry breaking.
  • Limit-cycle oscillations are observed in the magnetization of both central and ancilla spins.

Conclusions:

  • The study reveals a new mechanism for generating continuous time crystals.
  • The findings demonstrate qualitatively different dynamics beyond the standard Quantum Zeno effect.
  • This work opens avenues for exploring novel quantum phases driven by measurement and size effects.