exclusion-statistics-thermodynamic-resource

name	exclusion-statistics-thermodynamic-resource
category	quantum-physics
description	Haldane fractional exclusion statistics as tunable thermodynamic resource for quantum heat engines — bosonic working mediums exceed fermionic Whitney power limit by 1.52×.
trigger_words	exclusion statistics quantum heat engine, Haldane statistics thermodynamics, Whitney limit quantum, bosonic thermoelectric power, fractional exclusion statistics, quantum thermodynamic resource, anyonic thermodynamics

Exclusion Statistics as a Thermodynamic Resource in Quantum Heat Engines

Source: arXiv:2606.19310 (Karmakar, Hasan, Das, June 2026)

Overview

The maximum power extractable from a quantum thermoelectric heat engine operating with free fermion carriers is bounded by the universal Whitney limit. This skill demonstrates that this bound is not fundamental — bosonic working mediums yield strictly enhanced maximum power, and Haldane fractional exclusion statistics provides a continuously tunable thermodynamic resource.

Core Methodology

1. The Whitney Limit is Fermion-Specific

For free fermion carriers:

• Maximum power: P_fermion^max ≈ 0.0321 × π² × kB² × (TL - TR)² / h
• This is NOT a fundamental limit of quantum heat engines
• It is an artifact of fermionic statistics

2. Bosonic Enhancement

For bosonic working mediums:

• Maximum power: P_boson^max = (ln 2)² × kB² × (TL - TR)² / h
• Exceeds fermionic limit by factor: (ln 2)² / (0.0321 × π²) ≈ 1.52×
• Proposed realization: magnon transport through a ferromagnetic spin chain

3. Haldane Fractional Exclusion Statistics

Using Haldane's exclusion statistics parameter g:

• Continuous interpolation between bosonic (g = 0) and fermionic (g = 1) limits
• Monotonic enhancement of maximum power for g < 1 at reduced bias cost
• Quantum statistical exclusion becomes a previously unrecognized and independently tunable thermodynamic resource

Key Results

Statistics Type	Max Power Coefficient	Relative Performance
Fermionic (g=1)	0.0321 × π² ≈ 0.317	Baseline (Whitney limit)
Bosonic (g=0)	(ln 2)² ≈ 0.480	1.52× enhancement
Anyonic (0<g<1)	Between above	Continuously tunable

Applications

• Quantum thermoelectric devices: Design heat engines beyond fermionic power limits
• Spin caloritronics: Magnon-based thermal transport in ferromagnets
• Quantum heat engines: Optimize working medium statistics for maximum power
• Thermal management: Use exclusion statistics as control parameter

Key Insights

1. Statistics is a resource: Particle statistics can be independently tuned like temperature or voltage
2. Bosons are more powerful: Same system, bosonic carriers → 52% more power than fermionic
3. Experimental path exists: Magnon transport in ferromagnetic spin chains is a viable bosonic realization
4. Continuous control: Haldane parameter g provides a knob between bosonic and fermionic performance

Pitfalls

• Whitney limit is not universal: Don't assume it applies to non-fermionic systems
• Bosonic realization requires specific platform: Magnon transport, not arbitrary bosonic systems
• Reduced bias cost: The power enhancement comes with a tradeoff in bias requirements