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.
To clarify this, the new projection-transition operators /u1D443′ /u1D456 /u1D457 = |/u1D719′ /u1D456 ⟩⟨/u1D719′ /u1D457 | can be in- troduced
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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.