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This tutorial article introduces the physics of quantum information scrambling in quantum many-body systems. The goals are to understand how to precisely quantify the spreading of quantum information and how causality emerges in complex…

量子物理 · 物理学 2024-01-25 Shenglong Xu , Brian Swingle

The spatiotemporal evolution of the out-of-time-order correlator (OTOC) measures the propagation and scrambling of local quantum information. For the transverse field Ising model with open boundaries, the local operator $\sigma^{x}$ shows…

强关联电子 · 物理学 2024-07-12 Samudra Sur , Diptiman Sen

We study information scrambling -- a spread of initially localized quantum information into the system's many degree of freedom -- in discrete-time quantum walks. We consider out-of-time-ordered correlators (OTOC) and K-complexity as a…

量子物理 · 物理学 2024-11-07 Himanshu Sahu

We investigate the scrambling of information in a hierarchical star-topology system using out-of-time-ordered correlation (OTOC) functions. The system consists of a central qubit directly interacting with a set of satellite qubits, which in…

量子物理 · 物理学 2019-06-07 Deepak Khurana , V. R. Krithika , T. S. Mahesh

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…

量子物理 · 物理学 2025-03-07 Himanshu Sahu , Fernando Iemini

Recent theoretical and experimental studies have shown significance of quantum information scrambling (i.e. a spread of quantum information over a system degrees of freedom) for problems encountered in high-energy physics, quantum…

量子物理 · 物理学 2019-12-11 Jan Tuziemski

Scrambling of quantum information can be conveniently quantified by so called out-of-time-order-correlators (OTOCs), whose measurements presents a formidable experimental challenge. Here we report on a method for the measurement of OTOCs…

量子物理 · 物理学 2017-06-28 Michele Campisi , John Goold

Developing quantum technologies requires the control and understanding of the non-equilibrium dynamics of quantum information in many-body systems. Local information propagates in the system by creating complex correlations known as…

量子物理 · 物理学 2021-12-08 Federico D. Domínguez , Gonzalo A. Álvarez

Out-of-time-ordered correlators (OTOCs) have been extensively used over the last few years to study information scrambling and quantum chaos in many-body systems. In this paper, we extend the formalism of the averaged bipartite OTOC of…

量子物理 · 物理学 2021-06-21 Paolo Zanardi , Namit Anand

Quantum scrambling is the dispersal of local information into many-body quantum entanglements and correlations distributed throughout the entire system. This concept underlies the dynamics of thermalization in closed quantum systems, and…

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…

统计力学 · 物理学 2024-04-10 Samudra Sur , Diptiman Sen

Scrambling, a process in which quantum information spreads over a complex quantum system becoming inaccessible to simple probes, happens in generic chaotic quantum many-body systems, ranging from spin chains, to metals, even to black holes.…

量子物理 · 物理学 2020-02-10 Shenglong Xu , Brian Swingle

Quantum dynamics is of fundamental interest and has implications in quantum information processing. The four-point out-of-time-ordered correlator (OTOC) is traditionally used to quantify quantum information scrambling under many-body…

量子物理 · 物理学 2021-12-06 Roy J. Garcia , You Zhou , Arthur Jaffe

We investigate the dynamics of quantum scrambling, characterized by the out-of-time ordered correlators (OTOCs), in a non-Hermitian quantum kicked rotor subjected to quasi-periodical modulation in kicking potential. Quasi-periodic…

量子物理 · 物理学 2024-01-23 Liang Huo , Han Ke , Wen-Lei Zhao

We study quantum information scrambling in a random unitary circuit that exchanges qubits with an environment at a rate $p$. As a result, initially localized quantum information not only spreads within the system, but also spills into the…

量子物理 · 物理学 2023-12-05 Zack Weinstein , Shane P. Kelly , Jamir Marino , Ehud Altman

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…

强关联电子 · 物理学 2018-04-18 Curt von Keyserlingk , Tibor Rakovszky , Frank Pollmann , Shivaji Sondhi

In recent years, the out-of-time-order correlator (OTOC) has emerged as a diagnostic tool for information scrambling in quantum many-body systems. Here, we present exact analytical results for the OTOC for a typical pair of random local…

量子物理 · 物理学 2021-01-22 Georgios Styliaris , Namit Anand , Paolo Zanardi

Thermalization of chaotic quantum many-body systems under unitary time evolution is related to the growth in complexity of initially simple Heisenberg operators. Operator growth is a manifestation of information scrambling and can be…

强关联电子 · 物理学 2019-09-19 Shenglong Xu , Brian Swingle

Motivated by the question of whether all fast scramblers are holographically dual to quantum gravity, we study the dynamics of a non-integrable spin chain model composed of two ingredients - a nearest neighbor Ising coupling, and an…

量子气体 · 物理学 2021-01-05 Zehan Li , Sayan Choudhury , W. Vincent Liu

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…

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