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Compact Quantum Dots for Single-molecule Imaging
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Revealing missing charges with generalised quantum fluctuation relations.

J Mur-Petit1, A Relaño2, R A Molina3

  • 1Clarendon Laboratory, University of Oxford, Oxford, OX1 3PU, UK. jordi.murpetit@physics.ox.ac.uk.

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|May 24, 2018
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Summary
This summary is machine-generated.

We developed a new method to detect conserved quantities in quantum systems by analyzing fluctuations. This helps understand non-equilibrium dynamics and improve quantum simulations.

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Area of Science:

  • Quantum physics
  • Statistical mechanics
  • Condensed matter theory

Background:

  • Understanding non-equilibrium dynamics in quantum many-body systems is crucial.
  • Conserved quantities significantly impact system evolution.
  • Current methods for detecting charges are limited.

Purpose of the Study:

  • To propose a general protocol for revealing conserved quantities (charges) in quantum systems.
  • To establish exact relations between out-of-equilibrium fluctuations and equilibrium properties.
  • To apply these relations for unbiased temperature estimation in quantum simulations.

Main Methods:

  • Developed a general protocol based on generalized quantum fluctuation relations.
  • Applied the protocol to a driven quantum simulator.
  • Utilized out-of-equilibrium measurements to estimate temperature.

Main Results:

  • Successfully demonstrated a method to reveal the existence of charges.
  • Achieved unbiased temperature estimates from non-equilibrium measurements.
  • Validated the protocol's relevance for quantum simulation.

Conclusions:

  • The proposed protocol offers a powerful tool for studying quantum systems.
  • Findings advance the understanding of quantum and thermal fluctuations.
  • Results guide the design of future quantum devices and simulations.