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Operator spreading has profound implications in diverse fields ranging from statistical mechanics and blackhole physics to quantum information. The usual way to quantify it is through out-of-time-order correlators (OTOCs), which are the…

Quantum Physics · Physics 2024-05-22 K. J. Joven , V. M. Bastidas

We study operator dynamics in many-body quantum systems, focusing on generic features of systems that are ergodic, spatially extended, and lack conserved densities. Quantum circuits of various types provide simple models for such systems.…

Statistical Mechanics · Physics 2025-04-15 Takato Yoshimura , Samuel J. Garratt , J. T. Chalker

The action of any local operator on a quantum system propagates through the system carrying the information of the operator. This is usually studied via the out-of-time-order correlator (OTOC). We numerically study the information…

Statistical Mechanics · Physics 2024-04-10 Samudra Sur , Diptiman Sen

In recent times out-of-time-order correlators (OTOC) have been established as a tool to understand butterfly effects, quantum information scrambling, and many-body localization. They can also be useful in determining different phases of…

Quantum Physics · Physics 2025-05-13 Rohit Kumar Shukla

There is great interest in using near-term quantum computers to simulate and study foundational problems in quantum mechanics and quantum information science, such as the scrambling measured by an out-of-time-ordered correlator (OTOC). Here…

Operator spreading under unitary time evolution has attracted a lot of attention recently, as a way to probe many-body quantum chaos. While quantities such as out-of-time-ordered correlators (OTOC) do distinguish interacting from…

Strongly Correlated Electrons · Physics 2021-09-17 Javier Lopez-Piqueres , Brayden Ware , Sarang Gopalakrishnan , Romain Vasseur

Random quantum circuits yield minimally structured models for chaotic quantum dynamics, able to capture for example universal properties of entanglement growth. We provide exact results and coarse-grained models for the spreading of…

Strongly Correlated Electrons · Physics 2018-04-18 Adam Nahum , Sagar Vijay , Jeongwan Haah

Out-of-time-order correlators (OTOCs) progressively play an important role in different fields of physics, particularly in the non-equilibrium quantum many-body systems. In this paper, we show that OTOCs can be used to prob the Floquet…

Statistical Mechanics · Physics 2022-03-11 Sara Zamani , R. Jafari , A. Langari

Out-of-time-order correlators (OTOCs) are central probes of quantum scrambling, and their generalizations have recently become key primitives for both benchmarking quantum advantage and learning the structure of Hamiltonians. Yet their…

Quantum Physics · Physics 2025-12-01 Keisuke Fujii

Interacting many-body quantum systems show a rich array of physical phenomena and dynamical properties, but are notoriously difficult to study: they are challenging analytically and exponentially difficult to simulate on classical…

Out-of-time-ordered correlators (OTOCs) describe information scrambling under unitary time evolution, and provide a useful probe of the emergence of quantum chaos. Here we calculate OTOCs for a model of disorder-free localization whose…

Strongly Correlated Electrons · Physics 2019-08-27 Adam Smith , Johannes Knolle , Roderich Moessner , Dmitry L. Kovrizhin

Out-of-time-order correlators (OTOC) in the Ising Floquet system, that can be both integrable and nonintegrable is studied. Instead of localized spin observables, we study contiguous symmetric blocks of spins or random operators localized…

Quantum Physics · Physics 2022-06-22 Rohit Kumar Shukla , Arul Lakshminarayan , Sunil Kumar Mishra

Scrambling is a key concept in the analysis of nonequilibrium properties of quantum many-body systems. Most studies focus on its characterization via out-of-time-ordered correlation functions (OTOCs), particularly through the early-time…

Quantum Physics · Physics 2023-04-14 Sivaprasad Omanakuttan , Karthik Chinni , Philip Daniel Blocher , Pablo M. Poggi

Thermalization and scrambling are the subject of much recent study from the perspective of many-body quantum systems with locally bounded Hilbert spaces (`spin chains'), quantum field theory and holography. We tackle this problem in 1D…

Strongly Correlated Electrons · Physics 2018-04-18 Curt von Keyserlingk , Tibor Rakovszky , Frank Pollmann , Shivaji Sondhi

Out-of-time-ordered correlators (OTOCs) have been proposed as a tool to witness quantum information scrambling in many-body system dynamics. These correlators can be understood as averages over nonclassical multi-time quasi-probability…

Quantum Physics · Physics 2020-01-29 Razieh Mohseninia , José Raúl González Alonso , Justin Dressel

Out-of-time-ordered correlators (OTOCs) have received considerable recent attention as qualitative witnesses of information scrambling in many-body quantum systems. Theoretical discussions of OTOCs typically focus on closed systems, raising…

Quantum Physics · Physics 2019-02-05 José Raúl González Alonso , Nicole Yunger Halpern , Justin Dressel

Out-of-Time-Order Correlators (OTOCs) serve as a proxy for quantum information scrambling, which refers to the process where information stored locally disperses across the many-body degrees of freedom in a quantum system, rendering it…

In this article we study a set of integrable quantum cellular automata,the quantum hardcore gases (QHCG), with an arbitrary local Hilbert space dimension, and discuss the matrix product ansatz based approach for solving the dynamics of…

Statistical Mechanics · Physics 2022-10-05 Marko Medenjak

We study the dynamics of out-of-time-ordered correlators (OTOCs) and entanglement of entropy as quantitative measures of information propagation in disordered many-body systems exhibiting Floquet time-crystal (FTC) phases. We find that OTOC…

Quantum Physics · Physics 2025-03-07 Himanshu Sahu , Fernando Iemini

Interaction in quantum systems can spread initially localized quantum information into the many degrees of freedom of the entire system. Understanding this process, known as quantum scrambling, is the key to resolving various conundrums in…

Quantum Physics · Physics 2022-02-10 Xiao Mi , Pedram Roushan , Chris Quintana , Salvatore Mandra , Jeffrey Marshall , Charles Neill , Frank Arute , Kunal Arya , Juan Atalaya , Ryan Babbush , Joseph C. Bardin , Rami Barends , Andreas Bengtsson , Sergio Boixo , Alexandre Bourassa , Michael Broughton , Bob B. Buckley , David A. Buell , Brian Burkett , Nicholas Bushnell , Zijun Chen , Benjamin Chiaro , Roberto Collins , William Courtney , Sean Demura , Alan R. Derk , Andrew Dunsworth , Daniel Eppens , Catherine Erickson , Edward Farhi , Austin G. Fowler , Brooks Foxen , Craig Gidney , Marissa Giustina , Jonathan A. Gross , Matthew P. Harrigan , Sean D. Harrington , Jeremy Hilton , Alan Ho , Sabrina Hong , Trent Huang , William J. Huggins , L. B. Ioffe , Sergei V. Isakov , Evan Jeffrey , Zhang Jiang , Cody Jones , Dvir Kafri , Julian Kelly , Seon Kim , Alexei Kitaev , Paul V. Klimov , Alexander N. Korotkov , Fedor Kostritsa , David Landhuis , Pavel Laptev , Erik Lucero , Orion Martin , Jarrod R. McClean , Trevor McCourt , Matt McEwen , Anthony Megrant , Kevin C. Miao , Masoud Mohseni , Wojciech Mruczkiewicz , Josh Mutus , Ofer Naaman , Matthew Neeley , Michael Newman , Murphy Yuezhen Niu , Thomas E. O'Brien , Alex Opremcak , Eric Ostby , Balint Pato , Andre Petukhov , Nicholas Redd , Nicholas C. Rubin , Daniel Sank , Kevin J. Satzinger , Vladimir Shvarts , Doug Strain , Marco Szalay , Matthew D. Trevithick , Benjamin Villalonga , Theodore White , Z. Jamie Yao , Ping Yeh , Adam Zalcman , Hartmut Neven , Igor Aleiner , Kostyantyn Kechedzhi , Vadim Smelyanskiy , Yu Chen
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