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Maxwell's Thermodynamic Relations01:23

Maxwell's Thermodynamic Relations

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Maxwell's thermodynamic relations are very useful in solving problems in thermodynamics. Each of Maxwell's relations relates a partial differential between quantities that can be hard to measure experimentally to a partial differential between quantities that can be easily measured. These relations are a set of equations derivable from the symmetry of the second derivatives and the thermodynamic potentials.
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James Clerk Maxwell (1831–1879) was one of the major contributors to physics in the nineteenth century. Although he died young, he made major contributions to the development of the kinetic theory of gases, to the understanding of color vision, and to understanding the nature of Saturn's rings. He is probably best known for having combined existing knowledge on the laws of electricity and magnetism with his insights into a complete overarching electromagnetic theory, which is...
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Measuring Topological Entanglement Entropy Using Maxwell Relations.

Sarath Sankar1, Eran Sela1, Cheolhee Han1

  • 1School of Physics and Astronomy, Tel Aviv University, Tel Aviv 6997801, Israel.

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|July 21, 2023
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Summary
This summary is machine-generated.

Researchers propose a new method to measure topological entanglement entropy (TEE) in topological phases. This technique links TEE to thermodynamic entropy changes in a quantum point contact, enabling experimental detection of topological states.

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Area of Science:

  • Condensed matter physics
  • Quantum information theory

Background:

  • Topological entanglement entropy (TEE) is crucial for identifying topological order and anyons.
  • Current experimental methods for measuring TEE in condensed matter systems are lacking.

Purpose of the Study:

  • To propose a feasible experimental protocol for measuring TEE in chiral topological phases.
  • To establish a connection between TEE and measurable thermodynamic quantities.

Main Methods:

  • Utilizing the thermodynamic entropy change in a quantum point contact (QPC) during pinch-off.
  • Employing Maxwell relations and charge detection via a nearby quantum dot.
  • Applying an exact solution of the sine-Gordon model for Laughlin states.

Main Results:

  • Demonstrated a scheme to extract TEE from the entropy change in a QPC.
  • Explicitly verified the method for Abelian Laughlin states.
  • Established a link between TEE and charge detection measurements.

Conclusions:

  • The proposed method offers a novel thermodynamic approach for detecting topological states.
  • This technique holds potential for identifying both Abelian and non-Abelian anyonic states.
  • Opens avenues for experimental exploration of topological entanglement entropy.