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Free-Fermionic Topological Quantum Sensors.

Saubhik Sarkar1, Chiranjib Mukhopadhyay2,3, Abhijeet Alase1

  • 1Institute for Quantum Science and Technology and Department of Physics and Astronomy, University of Calgary, Calgary, Alberta T2N 1N4, Canada.

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|September 9, 2022
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Summary
This summary is machine-generated.

Quantum sensing benefits from criticality, but the source of enhancement is debated. This study shows topological edge states enable quantum enhanced sensing even without symmetry breaking or long-range entanglement, highlighting gap closing as key.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Information Science

Background:

  • Second-order quantum phase transitions offer enhanced sensing near criticality.
  • Key features like symmetry breaking and long-range entanglement are thought to drive this enhancement.
  • The precise mechanism responsible for quantum enhanced sensing remains unclear.

Purpose of the Study:

  • To identify the specific features of quantum phase transitions responsible for enhanced sensing.
  • To investigate quantum enhanced sensing in topological systems lacking symmetry breaking and long-range entanglement.
  • To explore the role of gap closing in enabling quantum enhanced sensing.

Main Methods:

  • Analytical investigation of phase transitions in free-fermionic topological systems.
  • Focus on topological edge states near the phase boundary.
  • Illustrative examples using the 1D Su-Schrieffer-Heeger chain and 2D Chern insulator models.

Main Results:

  • Quantum enhanced sensing is demonstrated using topological edge states in systems without symmetry breaking or long-range entanglement.
  • The enhancement persists in experimentally accessible ground states.
  • Gap closing is identified as the primary candidate for the source of quantum enhanced sensing.
  • A simple measurement strategy provides near-optimal precision for sensing using generic edge states.

Conclusions:

  • Symmetry breaking and long-range entanglement are not essential for quantum enhanced sensing.
  • Topological edge states offer a robust platform for quantum sensing.
  • Gap closing is the crucial feature enabling quantum enhanced sensing, paving the way for topological quantum sensors.