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Related Concept Videos

Reversible and Irreversible Processes01:14

Reversible and Irreversible Processes

The thermodynamic processes can be classified into reversible and irreversible processes. The processes that can be restored to their initial state are called reversible processes. It is only possible if the process is in quasi-static equilibrium, i.e., it takes place in infinitesimally small steps, and the system remains at equilibrium However, these are ideal processes and do not occur naturally. An ideal system undergoing a reversible process is always in thermodynamic equilibrium within...
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Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

Irreversibility in quantum maps with decoherence.

Ignacio García-Mata1, Bernardo Casabone, Diego A Wisniacki

  • 1Departamento de Física, Laboratorio TANDAR, Comisión Nacional de Energía Atómica, Av. del Libertador 8250, C1429BNP Buenos Aires, Argentina. garciama@tandar.cnea.gov.ar

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|December 15, 2010
PubMed
Summary
This summary is machine-generated.

The Boltzmann echo (BE) measures system irreversibility. Its decay rate in chaotic systems depends on environmental coupling and time-reversal accuracy, revealing distinct environmental influences.

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Area of Science:

  • Statistical mechanics
  • Chaos theory
  • Dynamical systems

Background:

  • The Boltzmann echo (BE) quantifies irreversibility and sensitivity to perturbations in non-isolated systems.
  • Previous studies identified perturbative and parameter-independent regimes for BE in chaotic systems.

Purpose of the Study:

  • Investigate Boltzmann echo behavior in hyperbolic maps coupled to various environments.
  • Analyze the emergence of different BE regimes and their dependence on environmental characteristics.

Main Methods:

  • Studied hyperbolic maps under different environmental conditions.
  • Analyzed the decay rate of the Boltzmann echo.
  • Examined the influence of time-reversal accuracy and system-environment coupling.

Main Results:

  • Observed distinct regimes in the Boltzmann echo decay.
  • Demonstrated that the decay rate is highly sensitive to the type of environment.
  • Characterized the interplay between perturbative and parameter-independent regimes.

Conclusions:

  • The environment significantly shapes the behavior of the Boltzmann echo in chaotic systems.
  • Understanding these environmental dependencies is crucial for interpreting irreversibility measures.
  • The study highlights the complex dynamics governing BE decay rates.