A Universal Operator Growth Hypothesis
- Authors:
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1571537
- Grant/Contract Number:
- SC0019380
- Resource Type:
- Published Article
- Journal Name:
- Physical Review. X
- Additional Journal Information:
- Journal Name: Physical Review. X Journal Volume: 9 Journal Issue: 4; Journal ID: ISSN 2160-3308
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
Citation Formats
Parker, Daniel E., Cao, Xiangyu, Avdoshkin, Alexander, Scaffidi, Thomas, and Altman, Ehud. A Universal Operator Growth Hypothesis. United States: N. p., 2019.
Web. doi:10.1103/PhysRevX.9.041017.
Parker, Daniel E., Cao, Xiangyu, Avdoshkin, Alexander, Scaffidi, Thomas, & Altman, Ehud. A Universal Operator Growth Hypothesis. United States. doi:10.1103/PhysRevX.9.041017.
Parker, Daniel E., Cao, Xiangyu, Avdoshkin, Alexander, Scaffidi, Thomas, and Altman, Ehud. Wed .
"A Universal Operator Growth Hypothesis". United States. doi:10.1103/PhysRevX.9.041017.
@article{osti_1571537,
title = {A Universal Operator Growth Hypothesis},
author = {Parker, Daniel E. and Cao, Xiangyu and Avdoshkin, Alexander and Scaffidi, Thomas and Altman, Ehud},
abstractNote = {},
doi = {10.1103/PhysRevX.9.041017},
journal = {Physical Review. X},
number = 4,
volume = 9,
place = {United States},
year = {2019},
month = {10}
}
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevX.9.041017
DOI: 10.1103/PhysRevX.9.041017
Other availability
Cited by: 18 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Quantum dynamics of thermalizing systems
journal, January 2018
- White, Christopher David; Zaletel, Michael; Mong, Roger S. K.
- Physical Review B, Vol. 97, Issue 3
Product spectrum ansatz and the simplicity of thermal states
journal, September 2019
- Martyn, John; Swingle, Brian
- Physical Review A, Vol. 100, Issue 3
Thermalization and its mechanism for generic isolated quantum systems
journal, April 2008
- Rigol, Marcos; Dunjko, Vanja; Olshanii, Maxim
- Nature, Vol. 452, Issue 7189
The dipolar fluctuation spectrum and the shape of the wings of nuclear magnetic resonance absorption spectra in solids
journal, December 1990
- Lundin, A. A.; Makarenko, A. V.; Zobov, V. E.
- Journal of Physics: Condensed Matter, Vol. 2, Issue 50
Hydrodynamic Diffusion in Integrable Systems
journal, October 2018
- De Nardis, Jacopo; Bernard, Denis; Doyon, Benjamin
- Physical Review Letters, Vol. 121, Issue 16
Eigenstate thermalization hypothesis
journal, July 2018
- Deutsch, Joshua M.
- Reports on Progress in Physics, Vol. 81, Issue 8
Signatures of chaos in time series generated by many-spin systems at high temperatures
journal, August 2014
- Elsayed, Tarek A.; Hess, Benjamin; Fine, Boris V.
- Physical Review E, Vol. 90, Issue 2
On the quantum inverse scattering problem
journal, June 2000
- Maillet, J. M.; Terras, V.
- Nuclear Physics B, Vol. 575, Issue 3
Density of States of Quantum Spin Systems from Isotropic Entanglement
journal, August 2011
- Movassagh, Ramis; Edelman, Alan
- Physical Review Letters, Vol. 107, Issue 9
Complex-time singularity and locality estimates for quantum lattice systems
journal, December 2015
- Bouch, Gabriel
- Journal of Mathematical Physics, Vol. 56, Issue 12
Spin diffusion from an inhomogeneous quench in an integrable system
journal, July 2017
- Ljubotina, Marko; Žnidarič, Marko; Prosen, Tomaž
- Nature Communications, Vol. 8, Issue 1
Connecting global and local energy distributions in quantum spin models on a lattice
journal, March 2016
- Arad, Itai; Kuwahara, Tomotaka; Landau, Zeph
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2016, Issue 3
Gapless spin-fluid ground state in a random quantum Heisenberg magnet
journal, May 1993
- Sachdev, Subir; Ye, Jinwu
- Physical Review Letters, Vol. 70, Issue 21
Statistical theory of transport by strongly interacting lattice fermions
journal, January 2006
- Mukerjee, Subroto; Oganesyan, Vadim; Huse, David
- Physical Review B, Vol. 73, Issue 3
Emergent SU(2) Dynamics and Perfect Quantum Many-Body Scars
journal, June 2019
- Choi, Soonwon; Turner, Christopher J.; Pichler, Hannes
- Physical Review Letters, Vol. 122, Issue 22
Upper Bound on Diffusivity
journal, October 2017
- Hartman, Thomas; Hartnoll, Sean A.; Mahajan, Raghu
- Physical Review Letters, Vol. 119, Issue 14
The finite group velocity of quantum spin systems
journal, September 1972
- Lieb, Elliott H.; Robinson, Derek W.
- Communications in Mathematical Physics, Vol. 28, Issue 3
Complexity and nonseparability of classical Liouvillian dynamics
journal, March 2011
- Prosen, Tomaž
- Physical Review E, Vol. 83, Issue 3
Density matrix formulation for quantum renormalization groups
journal, November 1992
- White, Steven R.
- Physical Review Letters, Vol. 69, Issue 19
Operator growth in the SYK model
journal, June 2018
- Roberts, Daniel A.; Stanford, Douglas; Streicher, Alexandre
- Journal of High Energy Physics, Vol. 2018, Issue 6
Bohigas-Giannoni-Schmit conjecture
journal, January 2016
- Ullmo, Denis
- Scholarpedia, Vol. 11, Issue 9
Exact Spectral Form Factor in a Minimal Model of Many-Body Quantum Chaos
journal, December 2018
- Bertini, Bruno; Kos, Pavel; Prosen, Tomaž
- Physical Review Letters, Vol. 121, Issue 26
Generality of Deterministic Chaos, Exponential Spectra, and Lorentzian Pulses in Magnetically Confined Plasmas
journal, October 2011
- Maggs, J. E.; Morales, G. J.
- Physical Review Letters, Vol. 107, Issue 18
Operator Size at Finite Temperature and Planckian Bounds on Quantum Dynamics
journal, May 2019
- Lucas, Andrew
- Physical Review Letters, Vol. 122, Issue 21
Clifford group, stabilizer states, and linear and quadratic operations over GF(2)
journal, October 2003
- Dehaene, Jeroen; De Moor, Bart
- Physical Review A, Vol. 68, Issue 4
Meixner polynomials of the second kind and quantum algebras representing su(1, 1)
journal, September 2009
- Hetyei, Gábor
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 466, Issue 2117
Lower Bounding Diffusion Constant by the Curvature of Drude Weight
journal, August 2017
- Medenjak, Marko; Karrasch, Christoph; Prosen, Tomaž
- Physical Review Letters, Vol. 119, Issue 8
Quantum chaos for nonstandard symmetry classes in the Feingold-Peres model of coupled tops
journal, December 2017
- Fan, Yiyun; Gnutzmann, Sven; Liang, Yuqi
- Physical Review E, Vol. 96, Issue 6
Pi, Euler Numbers, and Asymptotic Expansions
journal, October 1989
- Borwein, J. M.; Borwein, P. B.; Dilcher, K.
- The American Mathematical Monthly, Vol. 96, Issue 8
Observation of Elastic Doublon Decay in the Fermi-Hubbard Model
journal, February 2010
- Strohmaier, Niels; Greif, Daniel; Jördens, Robert
- Physical Review Letters, Vol. 104, Issue 8
A simple stochastic model for the onset of turbulence in Rayleigh-Bénard convection
journal, September 1982
- Greenside, H. S.; Ahlers, Guenter; Hohenberg, P. C.
- Physica D: Nonlinear Phenomena, Vol. 5, Issue 2-3
Ergodic Theory, Infinite Products, and Long Time Behavior in Hermitian Models
journal, November 2001
- Lee, M.
- Physical Review Letters, Vol. 87, Issue 25
Form factors of the XXZ Heisenberg finite chain
journal, August 1999
- Kitanine, N.; Maillet, J. M.; Terras, V.
- Nuclear Physics B, Vol. 554, Issue 3
Spin transport of weakly disordered Heisenberg chain at infinite temperature
journal, June 2016
- Khait, Ilia; Gazit, Snir; Yao, Norman Y.
- Physical Review B, Vol. 93, Issue 22
Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws
journal, January 1984
- Bohigas, O.; Giannoni, M. J.; Schmit, C.
- Physical Review Letters, Vol. 52, Issue 1
Probing many-body dynamics on a 51-atom quantum simulator
journal, November 2017
- Bernien, Hannes; Schwartz, Sylvain; Keesling, Alexander
- Nature, Vol. 551, Issue 7682
Gibbs states of a one dimensional quantum lattice
journal, June 1969
- Araki, Huzihiro
- Communications in Mathematical Physics, Vol. 14, Issue 2
Colloquium : Many-body localization, thermalization, and entanglement
journal, May 2019
- Abanin, Dmitry A.; Altman, Ehud; Bloch, Immanuel
- Reviews of Modern Physics, Vol. 91, Issue 2
Exponential decay of power spectra at high frequency and positive Lyapunov exponents
journal, April 1995
- Sigeti, David E.
- Physica D: Nonlinear Phenomena, Vol. 82, Issue 1-2
Hydrodynamics of operator spreading and quasiparticle diffusion in interacting integrable systems
journal, December 2018
- Gopalakrishnan, Sarang; Huse, David A.; Khemani, Vedika
- Physical Review B, Vol. 98, Issue 22
Defining quantum dynamical entropy
journal, September 1994
- Alicki, R.; Fannes, M.
- Letters in Mathematical Physics, Vol. 32, Issue 1
A bound on chaos
journal, August 2016
- Maldacena, Juan; Shenker, Stephen H.; Stanford, Douglas
- Journal of High Energy Physics, Vol. 2016, Issue 8
Finding purifications with minimal entanglement
journal, December 2018
- Hauschild, Johannes; Leviatan, Eyal; Bardarson, Jens H.
- Physical Review B, Vol. 98, Issue 23
From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics
journal, May 2016
- D'Alessio, Luca; Kafri, Yariv; Polkovnikov, Anatoli
- Advances in Physics, Vol. 65, Issue 3
Solution of a Minimal Model for Many-Body Quantum Chaos
journal, November 2018
- Chan, Amos; De Luca, Andrea; Chalker, J. T.
- Physical Review X, Vol. 8, Issue 4
Hall Number of Strongly Correlated Metals
journal, August 2018
- Auerbach, Assa
- Physical Review Letters, Vol. 121, Issue 6
Rotating-Frame Nuclear-Double-Resonance Dynamics: Dipolar Fluctuation Spectrum in Ca
journal, December 1969
- McARTHUR, D. A.; Hahn, E. L.; Walstedt, R. E.
- Physical Review, Vol. 188, Issue 2
Survival of deterministic dynamics in the presence of noise and the exponential decay of power spectra at high frequency
journal, September 1995
- Sigeti, David E.
- Physical Review E, Vol. 52, Issue 3
Operator Spreading and the Emergence of Dissipative Hydrodynamics under Unitary Evolution with Conservation Laws
journal, September 2018
- Khemani, Vedika; Vishwanath, Ashvin; Huse, David A.
- Physical Review X, Vol. 8, Issue 3
Remarks on the Sachdev-Ye-Kitaev model
journal, November 2016
- Maldacena, Juan; Stanford, Douglas
- Physical Review D, Vol. 94, Issue 10
Regular and chaotic motion of coupled rotators
journal, December 1983
- Feingold, Mario; Peres, Asher
- Physica D: Nonlinear Phenomena, Vol. 9, Issue 3
Ergodicity and mixing in quantum theory. II
journal, July 1984
- Feingold, Mario; Moiseyev, Nimrod; Peres, Asher
- Physical Review A, Vol. 30, Issue 1
Free-inducation-decay measurements and determination of moments in Ca
journal, August 1974
- Engelsberg, M.; Lowe, I. J.
- Physical Review B, Vol. 10, Issue 3
On CFT and quantum chaos
journal, December 2016
- Turiaci, Gustavo J.; Verlinde, Herman
- Journal of High Energy Physics, Vol. 2016, Issue 12
Conductivity of hard core bosons: A paradigm of a bad metal
journal, February 2010
- Lindner, Netanel H.; Auerbach, Assa
- Physical Review B, Vol. 81, Issue 5
Diffusive Hydrodynamics of Out-of-Time-Ordered Correlators with Charge Conservation
journal, September 2018
- Rakovszky, Tibor; Pollmann, Frank; von Keyserlingk, C. W.
- Physical Review X, Vol. 8, Issue 3
Kinetic Theory of Spin Diffusion and Superdiffusion in Spin Chains
journal, March 2019
- Gopalakrishnan, Sarang; Vasseur, Romain
- Physical Review Letters, Vol. 122, Issue 12
A Rigorous Theory of Many-Body Prethermalization for Periodically Driven and Closed Quantum Systems
journal, June 2017
- Abanin, Dmitry; De Roeck, Wojciech; Ho, Wen Wei
- Communications in Mathematical Physics, Vol. 354, Issue 3
Operator Spreading in Random Unitary Circuits
journal, April 2018
- Nahum, Adam; Vijay, Sagar; Haah, Jeongwan
- Physical Review X, Vol. 8, Issue 2
Operator Hydrodynamics, OTOCs, and Entanglement Growth in Systems without Conservation Laws
journal, April 2018
- von Keyserlingk, C. W.; Rakovszky, Tibor; Pollmann, Frank
- Physical Review X, Vol. 8, Issue 2
Bernoulli, Euler, permutations and quantum algebras
journal, July 2007
- Hodges, Andrew; Sukumar, C. V.
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 463, Issue 2086
Exponentially Slow Heating in Periodically Driven Many-Body Systems
journal, December 2015
- Abanin, Dmitry A.; De Roeck, Wojciech; Huveneers, François
- Physical Review Letters, Vol. 115, Issue 25
Quantum algebras and parity-dependent spectra
journal, July 2007
- Sukumar, C. V.; Hodges, Andrew
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 463, Issue 2086
Infinite-temperature dynamics of the equivalent-neighbor XYZ model
journal, November 1990
- Liu, Jian-Min; Müller, Gerhard
- Physical Review A, Vol. 42, Issue 10
On a relation between Lyapunov exponents and the radius of analyticity
journal, January 2008
- Cheskidov, A.; Jolly, M. S.; Van Vleck, E. S.
- Indiana University Mathematics Journal, Vol. 57, Issue 6
Weak ergodicity breaking from quantum many-body scars
journal, May 2018
- Turner, C. J.; Michailidis, A. A.; Abanin, D. A.
- Nature Physics, Vol. 14, Issue 7
Dynamical entropy ofC* algebras and von Neumann algebras
journal, December 1987
- Connes, A.; Narnhofer, H.; Thirring, W.
- Communications in Mathematical Physics, Vol. 112, Issue 4
Intermittency in nonlinear dynamics and singularities at complex times
journal, May 1981
- Frisch, Uriel; Morf, Rudolf
- Physical Review A, Vol. 23, Issue 5
Quantum statistical mechanics in a closed system
journal, February 1991
- Deutsch, J. M.
- Physical Review A, Vol. 43, Issue 4
Chaos and quantum thermalization
journal, August 1994
- Srednicki, Mark
- Physical Review E, Vol. 50, Issue 2
Absence of exponential sensitivity to small perturbations in nonintegrable systems of spins 1/2
journal, January 2014
- Fine, B. V.; Elsayed, T. A.; Kropf, C. M.
- Physical Review E, Vol. 89, Issue 1
Resonances of chaotic dynamical systems
journal, February 1986
- Ruelle, David
- Physical Review Letters, Vol. 56, Issue 5
Diffusion in generalized hydrodynamics and quasiparticle scattering
journal, January 2019
- De Nardis, Jacopo; Bernard, Denis; Doyon, Benjamin
- SciPost Physics, Vol. 6, Issue 4
Chaos and complexity of quantum motion
journal, June 2007
- Prosen, Tomaž
- Journal of Physics A: Mathematical and Theoretical, Vol. 40, Issue 28