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Fundamental Limitation on Cooling under Classical Noise.

Jun Jing1,2,3, Ravindra W Chhajlany4, Lian-Ao Wu5,6

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Classical noise and random unitary channels cannot increase the maximum population of any eigenstate in open quantum systems. This implies ideal cooling is impossible without initial pure states, even with dynamical control.

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Area of Science:

  • Quantum Mechanics
  • Open Quantum Systems
  • Quantum Thermodynamics

Background:

  • Open quantum systems are typically described with initial system-environment factorization.
  • Conventional methods for cooling quantum systems often rely on specific initial states or measurement-based techniques.

Purpose of the Study:

  • To prove a general theorem about the effect of classical noise and random unitary channels on open quantum systems.
  • To investigate the fundamental limits of cooling quantum systems, particularly concerning initial state preparation and dynamical control.

Main Methods:

  • Derivation of a general theorem applicable to arbitrary classical noise and random unitary channels.
  • Analysis of system dynamics under the assumption of initial system-environment factorization.

Main Results:

  • Demonstrated that classical noise or random unitary channels cannot increase the maximum population of any eigenstate.
  • Proved that ideal cooling of an open quantum system is impossible unless it is initially in a pure state.
  • Established rigorous constraints on cooling via dynamical control, independent of measurement-based methods.

Conclusions:

  • The study provides a significant generalization of existing no-go theorems for quantum cooling.
  • Highlights the crucial role of initial state purity in achieving ideal cooling.
  • Underscores the limitations imposed by classical noise on cooling open quantum systems.