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We show in full generality that time-correlation function of a physical observable analytically continued to imaginary time is a tau-function of integrable Toda hierarchy.
1908
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1911
Earlier work this paper cites.
Hazime Mori, “A continued-fraction representation of the time-correlation functions,” Progress of Theoretical Physics 34
1965
Earlier work this paper cites.
F. Cyrot-Lackmann, “On the electronic structure of liquid transitional metals,” Advances in Physics 16
1967
Earlier work this paper cites.
Jürgen Moser, “Finitely many mass points on the line under the influence of an exponential potential–an integrable system,” in Dynamical systems, theory and applications (Springer, 1975) pp. 467–497
1975
Earlier work this paper cites.
Roger Haydock, “The recursive solution of the schrödinger equation,” Computer Physics Communications 20
1980
Earlier work this paper cites.
M. A. Ol’shanetskii and A. M. Perelomov, “The toda chain as a reduced system,” Theoretical and Mathematical Physics 45
1980
Earlier work this paper cites.
WW Symes, “Hamiltonian group actions and integrable systems,” Physica D: Nonlinear Phenomena 1
1980
Earlier work this paper cites.
M. A. Olshanetsky and A. M. Perelomov, “Classical integrable finite dimensional systems related to Lie algebras,” Phys. Rept. 71
1981
Earlier work this paper cites.
P. Grigolini, G. Grosso, G. Pastori Parravicini, and M. Sparpaglione, “Calculation of relaxation functions: A new development within the mori formalism,” Phys. Rev. B 27
1983
Cited alongside, same era.
Michio Jimbo and Tetsuji Miwa, “Solitons and infinite dimensional lie algebras,” Publications of the Research Institute for Mathematical Sciences 19
1983
Cited alongside, same era.
AG Izergin and VE Korepin, “The quantum inverse scattering method approach to correlation functions,” Communications in Mathematical Physics 94
1984
Cited alongside, same era.
E. Gozzi and M. Reuter, “Lyapunov exponents, path integrals and forms,” Chaos Solitons Fractals 4
1994
Cited alongside, same era.
Boris L Altshuler, Yuval Gefen, Alex Kamenev, and Leonid S Levitov, “Quasiparticle lifetime in a finite system: A nonperturbative approach,” Physical review letters 78
1997
Mina Aganagic, Robbert Dijkgraaf, Albrecht Klemm, Marcos Marino, and Cumrun Vafa, “Topological strings and integrable hierarchies,” Commun. Math. Phys. 261
2006
Later among the works it cites.
Denis M Basko, Igor L Aleiner, and Boris L Altshuler, “Metal–insulator transition in a weakly interacting many-electron system with localized single-particle states,” Annals of physics 321
2006
Later among the works it cites.
VS Viswanath and Gerhard Müller, The Recursion Method: Application to Many-Body Dynamics , Vol. 23 (Springer Science & Business Media, 2008)
2008
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Stephen H Shenker and Douglas Stanford, “Black holes and the butterfly effect,” Journal of High Energy Physics 2014
2014
Later among the works it cites.
Tarek A Elsayed, Benjamin Hess, and Boris V Fine, “Signatures of chaos in time series generated by many-spin systems at high temperatures,” Physical Review E 90
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Cited alongside, same era.
A. Gorsky, A. Marshakov, A. Mironov, and A. Morozov, “RG equations from Whitham hierarchy,” Nucl. Phys. B527
1998
Cited alongside, same era.
Alexander S. Gorsky, “Renormalization group flows on the phase spaces and tau functions for the generic Hamiltonian systems,” Phys. Lett. B498
2001
Cited alongside, same era.
Yoshimasa Nakamura, “A new approach to numerical algorithms in terms of integrable systems,” in International Conference on Informatics Research for Development of Knowledge Society Infrastructure, 2004. ICKS 2004. (IEEE, 2004) pp. 194–205
2004
Cited alongside, same era.
E. Bettelheim, A. G. Abanov, and P. Wiegmann, “Orthogonality catastrophe and shock waves in a nonequilibrium fermi gas,” Physical Review Letters 97
2006
Cited alongside, same era.
2014
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Gabeiel Bouch, “Complex-time singularity and locality estimates for quantum lattice systems,” Journal of Mathematical Physics 56
2015
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Luca D’Alessio, Yariv Kafri, Anatoli Polkovnikov, and Marcos Rigol, “From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics,” Advances in Physics 65
2016
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Juan Maldacena and Douglas Stanford, “Remarks on the sachdev-ye-kitaev model,” Phys. Rev. D 94
2016
Later among the works it cites.
Daniel E. Parker, Xiangyu Cao, Alexander Avdoshkin, Thomas Scaffidi, and Ehud Altman, “A universal operator growth hypothesis,” Physical Review X 9
2019
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