Quantum Euler relation for local measurements

Abstract

In classical thermodynamics the Euler relation is an expression for the internal energy as a sum of the products of canonical pairs of extensive and intensive variables. For quantum systems the situation is more intricate, since one has to account for the effects of the measurement back action. To this end, we derive a quantum analog of the Euler relation, which is governed by the information retrieved by local quantum measurements. The validity of the relation is demonstrated for the collective dissipation model, where we find that thermodynamic behavior is exhibited in the weak-coupling regime.

13 pages, 4 figures

References in corpus (7)

• Second Law of Thermodynamics with Discrete Quantum Feedback Control
• Global information balance in quantum measurements
• Holevo's bound from a general quantum fluctuation theorem
• Factorization and Criticality in the Anisotropic XY Chain via Correlations
• Experimental verification of fluctuation relations with a quantum computer
• Energetic and entropic effects of bath-induced coherences
• Stability of Pairwise Entanglement in a Decoherent Environment