The paper defines work and heat for open quantum systems via a state-dependent effective Hamiltonian, but the definition is not unique due to an unresolved degeneracy in the derivation.
(iii) According to Lemma 1, the evolution of state /u1D70C(/u1D461) for a closed system is governed by /u1D43B⊥(/u1D461) only as in Eq
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Thermodynamic work and heat for a quantum process: Approach by Hamiltonian decomposition
The paper defines work and heat for open quantum systems via a state-dependent effective Hamiltonian, but the definition is not unique due to an unresolved degeneracy in the derivation.