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Topologically Protected Quantization of Work.

Bruno Mera1, Krzysztof Sacha2, Yasser Omar1

  • 1Instituto de Telecomunicações, Lisboa and Instituto Superior Tecnico, Universidade de Lisboa, Portugal.

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Summary
This summary is machine-generated.

We discovered a topological effect that quantizes the work required to move a particle in a dynamic potential. This work equals the first Chern number, offering a topologically protected phenomenon.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Topological Physics

Background:

  • Particle transport in time- and space-varying potentials is typically characterized by continuous work values.
  • The average work done over a temporal cycle can generally take any value.

Purpose of the Study:

  • To present a topological effect that induces quantization of the average work.
  • To demonstrate that this quantized work is topologically protected.

Main Methods:

  • Calculation of average work in a space-time lattice.
  • Topological invariant calculation (first Chern number).
  • Modeling particle transport using an atom coupled to electromagnetic waves.

Main Results:

  • The average work done on a particle is quantized.
  • The quantized work is precisely equal to the first Chern number of the space-time unit cell.
  • Topological protection of the quantized work.

Conclusions:

  • A topological effect leads to quantized average work in dynamic potentials.
  • The first Chern number serves as a universal quantifier for this work.
  • The phenomenon is illustrated with a realistic atom-wave system.