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We provide a protocol to measure out-of-time-order correlation functions. These correlation functions are of theoretical interest for diagnosing the scrambling of quantum information in black holes and strongly interacting quantum systems…

Quantum Physics · Physics 2016-11-02 Brian Swingle , Gregory Bentsen , Monika Schleier-Smith , Patrick Hayden

We present a perturbation method to compute the out-of-time-ordered correlator in the strongly disordered Heisenberg XXZ model in the deep many-body localized regime. We characterize the discrete structure of the information propagation…

Disordered Systems and Neural Networks · Physics 2023-06-27 Myeonghyeon Kim , Dong-Hee Kim

The phenomenon of quantum many-body scars has received widespread attention both in theoretical and experimental physics in recent years due to its unique physical properties. In this paper, based on the $su(2)$ algebraic relations, we…

Quantum Physics · Physics 2024-03-11 Jia-Wei Wang , Xiang-Fa Zhou , Guang-Can Guo , Zheng-Wei Zhou

This paper investigates the temperature dependence of quantum information scrambling in local systems with an energy gap, $m$, above the ground state. We study the speed and shape of growing Heisenberg operators as quantified by…

Statistical Mechanics · Physics 2020-11-11 Subhayan Sahu , Brian Swingle

Following the recent observation of wave function revivals in large Rydberg atom quantum simulators, much effort has focused on understanding the emergence of many-body scars in non-integrable quantum systems. Here we explore the origin of…

Quantum Physics · Physics 2022-06-27 Jean-Yves Desaules , Kieran Bull , Aiden Daniel , Zlatko Papić

Recent studies of out-of-time ordered thermal correlation functions (OTOC) in holographic systems and in solvable models such as the Sachdev-Ye-Kitaev (SYK) model have yielded new insights into manifestations of many-body chaos. So far the…

High Energy Physics - Theory · Physics 2018-11-14 Mike Blake , Hyunseok Lee , Hong Liu

We study various quantum quench processes induced by the M\"obius/sine-square deformation of the Hamiltonian in two-dimensional conformal field theories starting from the thermofield double state in the two copies of the Hilbert space.…

High Energy Physics - Theory · Physics 2024-04-04 Kanato Goto , Masahiro Nozaki , Shinsei Ryu , Kotaro Tamaoka , Mao Tian Tan

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

Tripartite mutual information (TMI) is an efficient observable to quantify the ability of scrambler for unitary time-evolution operator with quenched many-body Hamiltonian. In this paper, we give numerical demonstrations of the TMI in…

Disordered Systems and Neural Networks · Physics 2022-09-13 Yoshihito Kuno , Takahiro Orito , Ikuo Ichinose

We reveal a feature of quantum scarring in systems with many particles: Quantum scars, living densely near an unstable periodic orbit, must be compensated by corresponding antiscarred states suppressed there to establish the uniformity of…

Quantum Physics · Physics 2025-10-22 Zhongling Lu , Anton M. Graf , Eric J. Heller , Joonas Keski-Rahkonen , Ceren B. Dag

Understanding properties of quantum matter is an outstanding challenge in science. In this paper, we demonstrate how machine-learning methods can be successfully applied for the classification of various regimes in single-particle and…

Quantum Physics · Physics 2020-02-12 Y. A. Kharkov , V. E. Sotskov , A. A. Karazeev , E. O. Kiktenko , A. K. Fedorov

The dynamical generation of complex correlations in quantum many-body systems is of renewed interest in the context of quantum chaos, where the out-of-time-ordered (OTO) correlation function appears as a convenient measure of scrambling. To…

Quantum Physics · Physics 2018-07-25 Adrian Chapman , Akimasa Miyake

Quantum scrambling measured by out-of-time-ordered correlator (OTOC) has an important role in understanding the physics of black holes and evaluating quantum chaos. It is known that Rydberg atom has been a general interest due to its…

Quantum Physics · Physics 2018-07-09 Daattavya Aggarwal , Shivam Raj , Bikash K. Behera , Prasanta K. Panigrahi

In closed generic many-body systems, unitary evolution disperses local quantum information into highly non-local objects, resulting in thermalization. Such a process is called information scrambling, whose swiftness is quantified by the…

Quantum Physics · Physics 2024-03-12 Pengfei Zhang , Zhenhua Yu

Information scrambling refers to the phenomenon in which local quantum information in a many-body system becomes dispersed throughout the entire system under unitary evolution. It has been extensively studied in closed quantum systems,…

Quantum Physics · Physics 2025-04-17 Haolin Jiang , Pengfei Zhang

Generic quantum many-body systems are expected to thermalize, scrambling initial coherence while local observables relax to equilibrium values. Weak ergodicity breaking, often associated with quantum many-body scarring of homogeneous…

Quantum Physics · Physics 2026-05-25 Aron Kerschbaumer , Jean-Yves Desaules , Maksym Serbyn

Spin chains with symmetry-protected edge modes are promising candidates to realize intrinsically robust physical qubits that can be used for the storage and processing of quantum information. In any experimental realization of such physical…

Quantum Physics · Physics 2020-02-12 Marcel Goihl , Nathan Walk , Jens Eisert , Nicolas Tarantino

Quantum Information scrambling (QI-scrambling) is a pivotal area of inquiry within the study of quantum many-body systems. This research derives mathematical upper and lower bounds for the scrambling rate by applying the Maligranda…

Quantum Physics · Physics 2025-07-25 Ahmed Zahia , M. Y. Abd-Rabbou , Atta ur Rahman , Cong Feng Qiao

Quantum scars have recently been directly visualized in graphene quantum dots (Nature 635, 841 (2024)), revealing their resilience and influence on electron dynamics in mesoscopic systems. Here, we examine variational scarring in…

Mesoscale and Nanoscale Physics · Physics 2025-09-19 Fartash Chalangari , Joonas Keski-Rahkonen , Simo Selinummi , Esa Räsänen

One of the promising applications of digital quantum processors is the simulation of many-body quantum systems. They have been already used to investigate several ergodicity violating mechanisms, which were initially discovered in synthetic…

Quantum Physics · Physics 2026-04-15 Leonard Logarić , John Goold , Shane Dooley
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