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Gradient Echo Quantum Memory in Warm Atomic Vapor
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Quantum work statistics, Loschmidt echo and information scrambling.

A Chenu1,2, I L Egusquiza3, J Molina-Vilaplana4

  • 1Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA, 02139, USA. achenu@mit.edu.

Scientific Reports
|August 24, 2018
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Summary
This summary is machine-generated.

We establish a universal relation connecting quantum work probability distributions and Loschmidt echo dynamics. This links information scrambling to quantum work statistics via time-reversal operations.

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Area of Science:

  • Quantum mechanics
  • Statistical mechanics
  • Information theory

Background:

  • The study of quantum work probability distributions is crucial for understanding energy exchange in quantum systems.
  • Loschmidt echo dynamics probe the sensitivity of quantum systems to perturbations and time-reversal.
  • Information scrambling quantifies how quantum information spreads within a system.

Purpose of the Study:

  • To establish a universal relationship between quantum work statistics and Loschmidt echo dynamics.
  • To demonstrate how Loschmidt echo of a specific state can measure information scrambling.
  • To connect information scrambling to the analytic continuation of the partition function.

Main Methods:

  • Derivation of a universal relation between quantum work probability distribution and Loschmidt echo.
  • Analysis of the Loschmidt echo for a purified double thermofield state with a canonical initial density matrix.
  • Investigation of quantum work statistics under a time-reversal operation (sudden Hamiltonian negation).

Main Results:

  • A direct link is found between the quantum work probability distribution of isolated driven systems and Loschmidt echo dynamics.
  • The Loschmidt echo of the purified double thermofield state serves as a direct measure of information scrambling.
  • Information scrambling is quantitatively described by quantum work statistics under time-reversal.

Conclusions:

  • The established relation provides a new perspective on quantum work and information scrambling.
  • Loschmidt echo dynamics offer a powerful tool to probe information scrambling in quantum systems.
  • The findings connect concepts from quantum thermodynamics, quantum information, and statistical mechanics.