Energetic Cost of Statistical Order-Degree Change in a Fermions' Set

Area of Science:

• Quantum thermodynamics
• Many-body physics
• Statistical mechanics

Background:

• Understanding the thermodynamics of many-fermion systems is crucial for condensed matter physics.
• The relationship between energy costs and changes in order (or disorder) is a key aspect of thermodynamic transitions.
• Quantum interactions significantly influence the dynamics and statistical properties of fermionic systems.

Purpose of the Study:

• To investigate novel features in many-fermion thermodynamics.
• To explore the energy cost associated with order-disorder changes in quantum systems.
• To establish a link between fermion-fermion interactions, level-crossings, and information quantification.

Main Methods:

• Utilizing an exactly solvable model for fermion dynamics.
• Applying Gibbs' canonical ensemble framework for thermal quantum statistical analysis.
• Examining two well-known quantum interactions within the model.

Main Results:

• Demonstrated that fermion-fermion interactions control the thermal quantum statistical scenario.
• Showcased the model's ability to describe fermion dynamics, including level-crossings.
• Established that manipulating energy costs of order-disorder variations yields valuable information-quantifiers.

Conclusions:

• The energy cost of statistical order/disorder variations is intimately linked to level-crossing energetic costs.
• Judicious manipulation of these energy costs provides a method for quantifying information in many-fermion systems.
• This work offers new insights into the thermodynamic behavior of quantum systems driven by interactions.