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Nonequilibrium quantum Landauer principle.

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We derived a new lower bound for heat exchange during quantum Landauer erasure processes. This bound, based on non-equilibrium dynamics, offers unique physical insights into quantum thermodynamics.

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Area of Science:

  • Quantum thermodynamics
  • Non-equilibrium statistical mechanics
  • Quantum information science

Background:

  • The Landauer principle establishes a fundamental link between information erasure and heat dissipation.
  • Existing derivations often rely on specific assumptions or phenomenological models.
  • Understanding heat exchange in quantum systems is crucial for developing quantum technologies.

Purpose of the Study:

  • To derive a novel lower bound for heat exchange in quantum Landauer erasure processes.
  • To provide a non-phenomenological derivation of the Landauer principle applicable to generic non-equilibrium dynamics.
  • To investigate the physical significance of this bound in relation to the non-unitality of quantum dynamics.

Main Methods:

  • Utilizing the operational framework of completely positive, trace preserving (CPTP) operations.
  • Applying thermodynamic fluctuation relations to quantum systems.
  • Developing a non-phenomenological derivation of the Landauer principle.

Main Results:

  • A new lower bound for heat exchange in a Landauer erasure process was derived.
  • The derived bound is applicable to generic non-equilibrium quantum dynamics.
  • The bound's dependence on the non-unitality of dynamics provides a distinct physical interpretation.

Conclusions:

  • The study presents a significant advancement in understanding the thermodynamics of information erasure in quantum systems.
  • The derived bound offers a more general and physically insightful perspective compared to previous approaches.
  • The framework is applicable to realistic quantum systems, such as a spin-1/2 system coupled to a spin chain.