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Out of time ordered correlators (OTOCs) are useful tools for investigating foundational questions such as thermalization in closed quantum systems because they can potentially distinguish between integrable and nonintegrable dynamics. Here…

Statistical Mechanics · Physics 2023-10-04 Jonathon Riddell , Wyatt Kirkby , D. H. J. O'Dell , Erik S. Sørensen

Chaos, in quantum systems, can be diagnosed by certain out-of-time-order correlators (OTOCs) that obey the chaos bound of Maldacena, Shenker, and Stanford (MSS). We begin by deriving a dispersion relation for this class of OTOCs, implying…

High Energy Physics - Theory · Physics 2022-04-20 Sandipan Kundu

The out of time order correlator (OTOC) serves as a powerful tool for investigating quantum information spreading and chaos in complex systems. We present a method employing non-equilibrium dynamical mean-field theory (DMFT) and coherent…

Strongly Correlated Electrons · Physics 2026-02-20 Chakradhar Rangi , Juana Moreno , Ka-Ming Tam

Out-of-time-ordered correlators (OTOCs) have been suggested as a means to study quantum chaotic behavior in various systems. In this work, I calculate OTOCs for the quantum mechanical anharmonic oscillator with quartic potential, which is…

High Energy Physics - Theory · Physics 2021-02-03 Paul Romatschke

The out-of-time-ordered correlator (OTOC) diagnoses quantum chaos and the scrambling of quantum information via the spread of entanglement. The OTOC encodes forward and reverse evolutions and has deep connections with the flow of time. So…

Quantum Physics · Physics 2017-01-20 Nicole Yunger Halpern

Controllable arrays of ions and ultra-cold atoms can simulate complex many-body phenomena and may provide insights into unsolved problems in modern science. To this end, experimentally feasible protocols for quantifying the buildup of…

The onset of quantum chaos in quantum field theory may be studied using out-of-time-order correlators at finite temperature. Recent work argued that a timescale logarithmic in the central charge emerged in the context of two-dimensional…

High Energy Physics - Theory · Physics 2019-01-02 Chang Liu , David A. Lowe

Out-of-time-ordered correlators (OTOCs) are a key observable in a wide range of interconnected fields including many-body physics, quantum information science, and quantum gravity. Measuring OTOCs using near-term quantum simulators will…

Out-of-time-order correlators (OTOCs) are the main tool for probing quantum chaos and scrambling, and have become crucial probes in many areas of quantum computing. However, the measurement of OTOCs is difficult to implement on analog…

Quantum Physics · Physics 2026-04-08 Goksu Can Toga , Siva Darbha , Ermal Rrapaj , Pedro L. S. Lopes , Alexander F. Kemper

Random transformations are typically good at "scrambling" information. Specifically, in the quantum setting, scrambling usually refers to the process of mapping most initial pure product states under a unitary transformation to states which…

Quantum Physics · Physics 2013-07-04 Winton Brown , Omar Fawzi

Out-of-time-ordered correlators (OTOCs) are of crucial importance for studying a wide variety of fundamental phenomena in quantum physics, ranging from information scrambling to quantum chaos and many-body localization. However, apart from…

Quantum Physics · Physics 2020-07-01 Yukai Wu , L. -M. Duan , Dong-Ling Deng

Quantum-information-inspired experiments in nuclear magnetic resonance spectroscopy may yield a pathway towards determining molecular structure and properties that are otherwise challenging to learn. We measure out-of-time-ordered…

Quantum Physics · Physics 2025-10-23 C. Zhang , R. G. Cortiñas , A. H. Karamlou , N. Noll , J. Provazza , J. Bausch , S. Shirobokov , A. White , M. Claassen , S. H. Kang , A. W. Senior , N. Tomašev , J. Gross , K. Lee , T. Schuster , W. J. Huggins , H. Celik , A. Greene , B. Kozlovskii , F. J. H. Heras , A. Bengtsson , A. Grajales Dau , I. Drozdov , B. Ying , W. Livingstone , V. Sivak , N. Yosri , C. Quintana , D. Abanin , A. Abbas , R. Acharya , L. Aghababaie Beni , G. Aigeldinger , R. Alcaraz , S. Alcaraz , T. I. Andersen , M. Ansmann , F. Arute , K. Arya , W. Askew , N. Astrakhantsev , J. Atalaya , B. Ballard , J. C. Bardin , H. Bates , M. Bigdeli Karimi , A. Bilmes , S. Bilodeau , F. Borjans , A. Bourassa , J. Bovaird , D. Bowers , L. Brill , P. Brooks , M. Broughton , D. A. Browne , B. Buchea , B. B. Buckley , T. Burger , B. Burkett , J. Busnaina , N. Bushnell , A. Cabrera , J. Campero , H. -S. Chang , S. Chen , Z. Chen , B. Chiaro , L. -Y. Chih , A. Y. Cleland , B. Cochrane , M. Cockrell , J. Cogan , R. Collins , P. Conner , H. Cook , W. Courtney , A. L. Crook , B. Curtin , S. Das , M. Damyanov , D. M. Debroy , L. De Lorenzo , S. Demura , L. B. De Rose , A. Di Paolo , P. Donohoe , A. Dunsworth , V. Ehimhen , A. Eickbusch , A. M. Elbag , L. Ella , M. Elzouka , D. Enriquez , C. Erickson , V. S. Ferreira , M. Flores , L. Flores Burgos , E. Forati , J. Ford , A. G. Fowler , B. Foxen , M. Fukami , A. W. L. Fung , L. Fuste , S. Ganjam , G. Garcia , C. Garrick , R. Gasca , H. Gehring , R. Geiger , É. Genois , W. Giang , C. Gidney , D. Gilboa , J. E. Goeders , E. C. Gonzales , R. Gosula , S. J. de Graaf , D. Graumann , J. Grebel , J. Guerrero , J. D. Guimarães , T. Ha , S. Habegger , T. Hadick , A. Hadjikhani , M. P. Harrigan , S. D. Harrington , J. Hartshorn , S. Heslin , P. Heu , O. Higgott , R. Hiltermann , J. Hilton , H. -Y. Huang , M. Hucka , C. Hudspeth , A. Huff , E. Jeffrey , S. Jevons , Z. Jiang , X. Jin , C. Joshi , P. Juhas , A. Kabel , H. Kang , K. Kang , R. Kaufman , K. Kechedzhi , T. Khattar , M. Khezri , S. Kim , R. King , O. Kiss , P. V. Klimov , C. M. Knaut , B. Kobrin , F. Kostritsa , J. M. Kreikebaum , R. Kudo , B. Kueffler , A. Kumar , V. D. Kurilovich , V. Kutsko , N. Lacroix , D. Landhuis , T. Lange-Dei , B. W. Langley , P. Laptev , K. -M. Lau , L. Le Guevel , J. Ledford , J. Lee , B. J. Lester , W. Leung , L. Li , W. Y. Li , M. Li , A. T. Lill , M. T. Lloyd , A. Locharla , D. Lundahl , A. Lunt , S. Madhuk , A. Maiti , A. Maloney , S. Mandra , L. S. Martin , O. Martin , E. Mascot , P. Masih Das , D. Maslov , M. Mathews , C. Maxfield , J. R. McClean , M. McEwen , S. Meeks , K. C. Miao , R. Molavi , S. Molina , S. Montazeri , C. Neill , M. Newman , A. Nguyen , M. Nguyen , C. -H. Ni , M. Y. Niu , L. Oas , R. Orosco , K. Ottosson , A. Pagano , S. Peek , D. Peterson , A. Pizzuto , E. Portoles , R. Potter , O. Pritchard , M. Qian , A. Ranadive , M. J. Reagor , R. Resnick , D. M. Rhodes , D. Riley , G. Roberts , R. Rodriguez , E. Ropes , E. Rosenberg , E. Rosenfeld , D. Rosenstock , E. Rossi , D. A. Rower , M. S. Rudolph , R. Salazar , K. Sankaragomathi , M. C. Sarihan , K. J. Satzinger , M. Schaefer , S. Schroeder , H. F. Schurkus , A. Shahingohar , M. J. Shearn , A. Shorter , N. Shutty , V. Shvarts , S. Small , W. C. Smith , D. A. Sobel , R. D. Somma , B. Spells , S. Springer , G. Sterling , J. Suchard , A. Szasz , A. Sztein , M. Taylor , J. P. Thiruraman , D. Thor , D. Timucin , E. Tomita , A. Torres , M. M. Torunbalci , H. Tran , A. Vaishnav , J. Vargas , S. Vdovichev , G. Vidal , C. Vollgraff Heidweiller , M. Voorhees , S. Waltman , J. Waltz , S. X. Wang , B. Ware , J. D. Watson , Y. Wei , T. Weidel , T. White , K. Wong , B. W. K. Woo , C. J. Wood , M. Woodson , C. Xing , Z. J. Yao , P. Yeh , J. Yoo , E. Young , G. Young , A. Zalcman , R. Zhang , Y. Zhang , N. Zhu , N. Zobrist , Z. Zou , G. Bortoli , S. Boixo , J. Chen , Y. Chen , M. Devoret , M. Hansen , C. Jones , J. Kelly , P. Kohli , A. Korotkov , E. Lucero , J. Manyika , Y. Matias , A. Megrant , H. Neven , W. D. Oliver , G. Ramachandran , R. Babbush , V. Smelyanskiy , P. Roushan , D. Kafri , R. Sarpong , D. W. Berry , C. Ramanathan , X. Mi , C. Bengs , A. Ajoy , Z. K. Minev , N. C. Rubin , T. E. O'Brien

Is a spontaneous perpetual reversal of the arrow of time possible? The out-of-time-ordered correlator (OTOC) is a standard measure of irreversibility, quantum scrambling, and the arrow of time. The question may be thus formulated more…

Statistical Mechanics · Physics 2022-05-04 Berislav Buča

We extend the concept of operator charge in the context of an abelian U (1) symmetry and apply this framework to symmetry-preserving matrix product operators (MPOs), enabling the description of operators projected onto specific sectors of…

Strongly Correlated Electrons · Physics 2025-10-08 Martina Gisti , David J. Luitz , Maxime Debertolis

The out-of-time-ordered correlators (OTOCs) have been proposed and widely used recently as a tool to define and describe many-body quantum chaos. Here, we develop the Keldysh non-linear sigma model technique to calculate these correlators…

Disordered Systems and Neural Networks · Physics 2018-11-16 Yunxiang Liao , Victor Galitski

We study operator scrambling in quantum circuits built from `super-Clifford' gates. For such circuits it was established in arXiv:2002.12824 that the time evolution of operator entanglement for a large class of many-body operators can be…

Quantum Physics · Physics 2025-06-24 Mike Blake , Noah Linden , Anthony P. Thompson

The scrambling of quantum information in closed many-body systems, as measured by out-of-time-ordered correlation functions (OTOCs), has lately received considerable attention. Recently, a hydrodynamical description of OTOCs has emerged…

Statistical Mechanics · Physics 2018-09-12 Tibor Rakovszky , Frank Pollmann , C. W. von Keyserlingk

Quantum operator scrambling describes the spreading of local operators into the whole system in the picture of Heisenberg evolution, which is often quantified by the operator size growth. Here we propose a measure of quantum operator…

Quantum Physics · Physics 2025-07-29 Bin Sun , Geng-Bin Cao , Xi-Dan Hu , Dan-Bo Zhang

We study the dynamics of a three-mode bosonic system with mode-changing interactions. For large mode occupations the short-time dynamics is well described by classical mean-field equations allowing us to study chaotic dynamics in the…

Quantum Physics · Physics 2020-05-13 Michael Rautenberg , Martin Gärttner

The information scrambling phenomena in an open quantum system modeled by Ising spin chains coupled to Lipkin-Meshkov-Glick (LMG) baths are observed via an interferometric method for obtaining out-of-time-ordered correlators…

Quantum Physics · Physics 2025-12-18 Baibhab Bose , Devvrat Tiwari , Subhashish Banerjee