DFT-inspired methods for quantum thermodynamics

Abstract

In the framework of quantum thermodynamics, we propose a method to quantitatively describe thermodynamic quantities for out-of-equilibrium interacting many-body systems. The method is articulated in various approximation protocols which allow to achieve increasing levels of accuracy, it is relatively simple to implement even for medium and large number of interactive particles, and uses tools and concepts from density functional theory. We test the method on the driven Hubbard dimer at half filling, and compare exact and approximate results. We show that the proposed method reproduces the average quantum work to high accuracy: for a very large region of parameter space (which cuts across all dynamical regimes) estimates are within 10% of the exact results.

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Cited by in corpus (12)

• Many-body quantum thermal machines
• Work-distribution quantumness and irreversibility when crossing a quantum phase transition in finite time
• Many-body effects on the thermodynamics of closed quantum systems
• Density Functional Theory of the Hubbard-Holstein Model
• Melting a Hubbard dimer: benchmarks of `ALDA' for quantum thermodynamics
• Easy access to energy fluctuations in non-equilibrium quantum many-body systems
• Characterizing Adiabaticity in Quantum Many-Body Systems at Finite Temperature
• Work statistics and Entanglement across the fermionic superfluid-insulator transition
• Metrics for two electron random potential systems
• Approximating quantum thermodynamic properties using DFT
• Full Quantum Work Statistics for Non-Homogeneous Many-Body Systems
• Efficiency of free auxiliary models in describing interacting fermions: from the Kohn-Sham model to the optimal entanglement model