How an autonomous quantum Maxwell demon can harness correlated information.

Area of Science:

• Quantum thermodynamics
• Information theory
• Statistical mechanics

Background:

• The Maxwell demon paradox explores the connection between information and thermodynamics.
• Autonomous quantum systems offer a platform to investigate fundamental thermodynamic principles.
• Quantum correlations can potentially lead to novel thermodynamic behaviors.

Purpose of the Study:

• To investigate an autonomous quantum system exhibiting refrigeration via an information-work trade-off.
• To explore the role of correlations and quantum coherence in thermodynamic processes.
• To derive a global Clausius inequality for correlated quantum systems.

Main Methods:

• Modeling an autonomous quantum system with a central qubit interacting with memory qubits and heat reservoirs.
• Utilizing strong subadditivity of von Neumann entropy to derive a global Clausius inequality.
• Employing a matrix product density operator formalism to analyze system dynamics.

Main Results:

• Demonstration of simultaneous refrigeration against a thermal gradient and information erasure.
• Quantification of thermodynamic advantages derived from correlated information.
• Observation that quantum coherence can enhance the demon's performance.

Conclusions:

• Correlated information enables thermodynamic processes impossible in uncorrelated systems.
• The quantum Maxwell demon provides a novel mechanism for refrigeration and information erasure.
• Quantum coherence plays a crucial role in optimizing these quantum thermodynamic effects.