Microscopic diagonal entropy and its connection to basic thermodynamic relations

By A. Polkovnikov. 2008

157 citations recorded by the source corpus.

The author acknowledges helpful discussions with R. Barankov on earlier stages of this work. The author also thanks C. Gogolin for sharing the proof of Eq. (24) and for many valuable comments. It is also a pleasure to acknowledge E. Altman, S. Girvin, V. Gritsev, V. Gurarie, D. Huse, Y. Kafri, W. Zwerger for helpful discussions related to this work. This work was supported by NSF (DMR-0907039), AFOSR YIP, AFOSR FA9550-10-1-0110, and Sloan Foundation. (DMR-0907039 - NSF; AFOSR YIP; FA9550-10-1-0110 - AFOSR; Sloan Foundation)

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a54d529a0c665b553e567c12a0db3bd447449037

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In Atomic and Molecular Physics, and Optics

1. D. Abanin
2. L. Vidmar
3. Maksym Serbyn
4. I. Bloch
5. A. Polkovnikov
6. Marcos Rigol
7. E. Altman
8. Göran Wendin

In Statistical and Nonlinear Physics

1. L. Vidmar
2. Maksym Serbyn
3. D. Abanin
4. I. Bloch
5. A. Polkovnikov
6. E. Altman
7. Ronnie Kosloff
8. Gabriel T. Landi

Citations in the corpus

• Colloquium : Many-body localization, thermalization, and entanglement (2018, background): “(13) depends on the diagonal entropy of the initial state (Polkovnikov, 2011), which in particular is influenced by the disorder strength, as discussed in Ref.”
• Irreversible entropy production: From classical to quantum (2020, background): “Most advances in the top-down approach have therefore focused on alternative definitions of thermodynamic entropy, such as the diagonal entropy (Polkovnikov, 2011) or, more generally, coarse-grained entropies (Šafránek et al., 2019).”
• Ergodic dynamics and thermalization in an isolated quantum system (2016, background): “The observed density matrix approaching maximum entropy suggests that even small quantum systems undergoing unitary dynamics can appear to thermalize [3, 10, 33].”
• Quantum Thermodynamics: A Dynamical Viewpoint (2013, background): “Quantum complexity can also lead to quantum thermalization [85,86] and entropy increase [110].”
• Many-body energy localization transition in periodically driven systems (2012, background): “Similarly, with a single assumption of the initial state being stationary, one can prove that the properly defined entropy increases or stays constant [3].”
• Generalized Gibbs ensemble in integrable lattice models (2016, background): “This is where entropy calculations, in particular the calculation of the entropy in the diagonal ensemble [104, 105], make a difference.”