References
Physics reproduced / cited by AbstractQAtlas.jl. Every DOI is verified upstream (Crossref / arXiv) by the citation-check CI via doiget.
- [1]
- P. W. Shor and J. Preskill. Simple Proof of Security of the BB84 Quantum Key Distribution Protocol. Physical Review Letters 85, 441–444 (2000). ↩1 ↩2
- [2]
- J. D. Bekenstein. Universal upper bound on the entropy-to-energy ratio for bounded systems. Physical Review D 23, 287–298 (1981). ↩1 ↩2
- [3]
- M. V. Berry. Quantal phase factors accompanying adiabatic changes. Proceedings of the Royal Society of London A 392, 45–57 (1984). ↩1 ↩2
- [4]
- D. Xiao, M.-C. Chang and Q. Niu. Berry phase effects on electronic properties. Reviews of Modern Physics 82, 1959–2007 (2010). ↩1 ↩2
- [5]
- M. Z. Hasan and C. L. Kane. Colloquium: Topological insulators. Reviews of Modern Physics 82, 3045–3067 (2010). ↩1 ↩2
- [6]
- J. F. Clauser, M. A. Horne, A. Shimony and R. A. Holt. Proposed experiment to test local hidden-variable theories. Physical Review Letters 23, 880–884 (1969). ↩1 ↩2
- [7]
- B. S. Cirel'son. Quantum generalizations of Bell's inequality. Letters in Mathematical Physics 4, 93–100 (1980). ↩1 ↩2
- [8]
- S. Popescu and D. Rohrlich. Quantum nonlocality as an axiom. Foundations of Physics 24, 379–385 (1994). ↩1 ↩2
- [9]
- J. Maldacena, S. H. Shenker and D. Stanford. A bound on chaos. Journal of High Energy Physics 2016, 106 (2016). ↩1 ↩2
- [10]
- E. H. Lieb and F. Y. Wu. Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension. Physical Review Letters 20, 1445–1448 (1968). ↩1 ↩2
- [11]
- D. J. Thouless, M. Kohmoto, M. P. Nightingale and M. den Nijs. Quantized Hall Conductance in a Two-Dimensional Periodic Potential. Physical Review Letters 49, 405–408 (1982). ↩1 ↩2
- [12]
- W. K. Wootters. Entanglement of Formation of an Arbitrary State of Two Qubits. Physical Review Letters 80, 2245–2248 (1998). ↩1 ↩2
- [13]
- H. Nyquist. Thermal Agitation of Electric Charge in Conductors. Physical Review 32, 110–113 (1928). ↩1 ↩2
- [14]
- H. B. Callen and T. A. Welton. Irreversibility and Generalized Noise. Physical Review 83, 34–40 (1951). ↩1 ↩2 ↩3
- [15]
- D. J. Scalapino, S. R. White and S. C. Zhang. Insulator, metal, or superconductor: The criteria. Physical Review B 47, 7995–8007 (1993). ↩1 ↩2
- [16]
- R. Kubo. Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems. Journal of the Physical Society of Japan 12, 570–586 (1957). ↩1 ↩2 ↩3 ↩4
- [17]
- R. L. Peterson. Formal Theory of Nonlinear Response. Reviews of Modern Physics 39, 69–77 (1967). ↩1 ↩2 ↩3
- [18]
- Y. Wan and N. P. Armitage. Resolving Continua of Fractional Excitations by Spinon Echo in THz 2D Coherent Spectroscopy. Physical Review Letters 122, 257401 (2019). ↩1 ↩2
- [19]
- E. H. Lieb and D. W. Robinson. The finite group velocity of quantum spin systems. Communications in Mathematical Physics 28, 251–257 (1972). ↩1 ↩2
- [20]
- M. B. Hastings and T. Koma. Spectral Gap and Exponential Decay of Correlations. Communications in Mathematical Physics 265, 781–804 (2006). ↩1
- [21]
- M. Heyl, A. Polkovnikov and S. Kehrein. Dynamical Quantum Phase Transitions in the Transverse-Field Ising Model. Physical Review Letters 110 (2013). ↩1
- [22]
- M. Heyl. Dynamical quantum phase transitions: a review. Reports on Progress in Physics 81, 054001 (2018). ↩1 ↩2
- [23]
- T. Giamarchi. Quantum Physics in One Dimension (Oxford University Press, 2003). ↩1
- [24]
- P. Hayden, R. Jozsa, D. Petz and A. Winter. Structure of States Which Satisfy Strong Subadditivity of Quantum Entropy with Equality. Communications in Mathematical Physics 246, 359–374 (2004). ↩1 ↩2
- [25]
- V. Vedral. The role of relative entropy in quantum information theory. Reviews of Modern Physics 74, 197–234 (2002). ↩1 ↩2 ↩3 ↩4
- [26]
- N. D. Mermin. Extreme quantum entanglement in a superposition of macroscopically distinct states. Physical Review Letters 65, 1838–1840 (1990). ↩1 ↩2
- [27]
- V. Bužek and M. Hillery. Quantum copying: Beyond the no-cloning theorem. Physical Review A 54, 1844–1852 (1996). ↩1 ↩2
- [28]
- D. N. Page. Average entropy of a subsystem. Physical Review Letters 71, 1291–1294 (1993). ↩1 ↩2
- [29]
- N. Margolus and L. B. Levitin. The maximum speed of dynamical evolution. Physica D: Nonlinear Phenomena 120, 188–195 (1998). ↩1 ↩2 ↩3
- [30]
- G. Lindblad. Completely positive maps and entropy inequalities. Communications in Mathematical Physics 40, 147–151 (1975). ↩1 ↩2
- [31]
- G. H. Wannier. Antiferromagnetism. The Triangular Ising Net. Physical Review 79, 357–364 (1950). ↩1
- [32]
- R. Houtappel. Order-disorder in hexagonal lattices. Physica 16, 425–455 (1950). ↩1
- [33]
- Y. Sekino and L. Susskind. Fast scramblers. Journal of High Energy Physics 2008, 065 (2008). ↩1 ↩2
- [34]
- L. Van Hove. Correlations in Space and Time and Born Approximation Scattering in Systems of Interacting Particles. Physical Review 95, 249–262 (1954). ↩1 ↩2
- [35]
- V. Coffman, J. Kundu and W. K. Wootters. Distributed entanglement. Physical Review A 61, 052306 (2000). ↩1 ↩2 ↩3
- [36]
- A. Kitaev and J. Preskill. Topological Entanglement Entropy. Physical Review Letters 96, 110404 (2006). ↩1 ↩2 ↩3
- [37]
- C. Tsallis. Possible generalization of Boltzmann-Gibbs statistics. Journal of Statistical Physics 52, 479–487 (1988). ↩1 ↩2
- [38]
- J. Eisert, M. Cramer and M. B. Plenio. Colloquium: Area laws for the entanglement entropy. Reviews of Modern Physics 82, 277–306 (2010). ↩1
- [39]
- J. A. Armstrong, N. Bloembergen, J. Ducuing and P. S. Pershan. Interactions between Light Waves in a Nonlinear Dielectric. Physical Review 127, 1918–1939 (1962). ↩1
- [40]
- P. A. Franken, A. E. Hill, C. W. Peters and G. Weinreich. Generation of Optical Harmonics. Physical Review Letters 7, 118–119 (1961). ↩1
- [41]
- M. Bass, P. A. Franken, J. F. Ward and G. Weinreich. Optical Rectification. Physical Review Letters 9, 446–448 (1962). ↩1
- [42]
- S. Sugiura and A. Shimizu. Canonical Thermal Pure Quantum State. Physical Review Letters 111, 010401 (2013). ↩1
- [43]
- G. E. Crooks. Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences. Physical Review E 60, 2721–2726 (1999). ↩1
- [44]
- C. Jarzynski. Nonequilibrium equality for free energy differences. Physical Review Letters 78, 2690–2693 (1997). ↩1
- [45]
- J. L. Cardy. Operator content of two-dimensional conformally invariant theories. Nuclear Physics B 270, 186–204 (1986). ↩1 ↩2
- [46]
- H. W. Blöte, J. L. Cardy and M. P. Nightingale. Conformal Invariance, the Central Charge, and Universal Finite-Size Amplitudes at Criticality. Physical Review Letters 56, 742–745 (1986). ↩1
- [47]
- I. Affleck. Universal Term in the Free Energy at a Critical Point and the Conformal Anomaly. Physical Review Letters 56, 746–748 (1986). ↩1
- [48]
- C. Bloch and C. De Dominicis. Un développement du potentiel de Gibbs d'un système quantique composé d'un grand nombre de particules. Nuclear Physics 7, 459–479 (1958). ↩1
- [49]
- R. d. Kronig. On the Theory of Dispersion of X-Rays. Journal of the Optical Society of America 12, 547–557 (1926). ↩1 ↩2
- [50]
- J. S. Toll. Causality and the Dispersion Relation: Logical Foundations. Physical Review 104, 1760–1770 (1956). ↩1 ↩2
- [51]
- J. Rammer and H. Smith. Quantum field-theoretical methods in transport theory of metals. Reviews of Modern Physics 58, 323–359 (1986). ↩1 ↩2
- [52]
- A. Einstein. Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen. Annalen der Physik 322, 549–560 (1905). ↩1
- [53]
- L. Onsager. Reciprocal Relations in Irreversible Processes. I. Physical Review 37, 405–426 (1931). ↩1 ↩2
- [54]
- M. Cutler and N. F. Mott. Observation of Anderson Localization in an Electron Gas. Physical Review 181, 1336–1340 (1969). ↩1
- [55]
- K. von Klitzing, G. Dorda and M. Pepper. New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance. Physical Review Letters 45, 494–497 (1980). ↩1
- [56]
- H. Araki and E. H. Lieb. Entropy inequalities. Communications in Mathematical Physics 18, 160–170 (1970). ↩1 ↩2
- [57]
- P. Calabrese and J. Cardy. Entanglement entropy and quantum field theory. Journal of Statistical Mechanics: Theory and Experiment 2004, P06002 (2004). ↩1
- [58]
- I. Peschel. Calculation of reduced density matrices from correlation functions. Journal of Physics A: Mathematical and General 36, L205–L208 (2003). ↩1 ↩2
- [59]
- A. Wehrl. General properties of entropy. Reviews of Modern Physics 50, 221–260 (1978). ↩1 ↩2
- [60]
- E. H. Lieb and M. B. Ruskai. Proof of the strong subadditivity of quantum-mechanical entropy. Journal of Mathematical Physics 14, 1938–1941 (1973). ↩1
- [61]
- P. Ehrenfest. Bemerkung über die angenäherte Gültigkeit der klassischen Mechanik innerhalb der Quantenmechanik. Zeitschrift für Physik 45, 455–457 (1927). ↩1 ↩2
- [62]
- R. P. Feynman. Forces in Molecules. Physical Review 56, 340–343 (1939). ↩1
- [63]
- H. P. Robertson. The Uncertainty Principle. Physical Review 34, 163–164 (1929). ↩1
- [64]
- S. Shimozono and C. Hotta. Environment-matrix-product operator for boundary-free large-scale quantum many-body simulations. Physical Review B 113, 245116 (2026).
- [65]
- G. S. Rushbrooke. On the Thermodynamics of the Critical Region for the Ising Problem. The Journal of Chemical Physics 39, 842–843 (1963).
- [66]
- B. Widom. Equation of State in the Neighborhood of the Critical Point. The Journal of Chemical Physics 43, 3898–3905 (1965).
- [67]
- M. E. Fisher. Correlation Functions and the Critical Region of Simple Fluids. Journal of Mathematical Physics 5, 944–962 (1964).
- [68]
- B. D. Josephson. Inequality for the specific heat: I. Derivation. Proceedings of the Physical Society 92, 269–275 (1967).
- [69]
- S. Sugiura and A. Shimizu. Thermal Pure Quantum States at Finite Temperature. Physical Review Letters 108, 240401 (2012).
- [70]
- L. Onsager. Reciprocal Relations in Irreversible Processes. II. Physical Review 38, 2265–2279 (1931).
- [71]
- M.-C. Chung and I. Peschel. Density-matrix spectra of solvable fermionic systems. Physical Review B 64, 064412 (2001).
- [72]
- G. C. Wick. The Evaluation of the Collision Matrix. Physical Review 80, 268–272 (1950).
- [73]
- L. Mandelstam and I. Tamm. The Uncertainty Relation Between Energy and Time in Non-relativistic Quantum Mechanics. Journal of Physics (USSR) 9, 249–254 (1945).