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Out-of-time ordered correlators are a probe of how the information of an initial perturbation is effectively scrambled under unitary time evolution, widely used to study quantum chaos. They have also been used to demonstrate that…

Statistical Mechanics · Physics 2026-05-07 Dominik Szpara , Szczepan Głodzik , Nicholas Sedlmayr

We present a framework for understanding the dynamics of operator size, and bounding the growth of out-of-time-ordered correlators, in models of large-$S$ spins. Focusing on the dynamics of a single spin, we show the finiteness of the…

Strongly Correlated Electrons · Physics 2021-07-15 Chao Yin , Andrew Lucas

Operator scrambling is a crucial ingredient of quantum chaos. Specifically, in the quantum chaotic system, a simple operator can become increasingly complicated under unitary time evolution. This can be diagnosed by various measures such as…

Strongly Correlated Electrons · Physics 2018-04-25 Xiao Chen , Tianci Zhou

We discuss the time dependence of subsystem entropies in interacting quantum systems. As a model for the time dependence, we suggest that the entropy is as large as possible given two constraints: one follows from the existence of an…

High Energy Physics - Theory · Physics 2021-04-02 Márk Mezei , Douglas Stanford

We have carried out extensive series studies, at T=0 and at high temperatures, of 2-chain and 3-chain spin-half ladder systems with antiferromagnetic intrachain and both antiferromagnetic and ferromagnetic interchain couplings. Our results…

Condensed Matter · Physics 2009-10-28 J. Oitmaa , Rajiv R. P Singh , Zheng Weihong

We explore the question as to whether quantum effects can yield a speedup of the non-equilibrium evolution of spin systems towards a classical thermal state. In our approach we exploit the fact that the thermal state of a spin system can be…

Statistical Mechanics · Physics 2019-04-03 Eliana Fiorelli , Pietro Rotondo , Matteo Marcuzzi , Juan P. Garrahan , Igor Lesanovsky

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

Quantum information scrambling under many-body dynamics is of fundamental interest. The tripartite mutual information can quantify the scrambling via its negative value. Here, we first study the quench dynamics of tripartite mutual…

Quantum Physics · Physics 2021-08-11 Zheng-Hang Sun , Jian Cui , Heng Fan

In the Schr{\"o}dinger picture, the state of a quantum system evolves in time and the quantum speed limit describes how fast the state of a quantum system evolves from an initial state to a final state. However, in the Heisenberg picture…

Quantum Physics · Physics 2022-12-07 Brij Mohan , Arun Kumar Pati

We study the dynamics of excitations in a system of $O(N)$ quantum rotors in the presence of random fields and random anisotropies. Below the lower critical dimension $d_{\mathrm{lc}}=4$ the system exhibits a quasi-long-range order with a…

Disordered Systems and Neural Networks · Physics 2014-07-31 Alexei Andreanov , Andrei A. Fedorenko

We explore the quantum information resources within bipartite pure and mixed states of the quantum spin-1 Heisenberg dimer system, considering some interesting factors such as the $l_{1}$-norm of quantum coherence, relative coherence,…

Quantum Physics · Physics 2025-01-31 Fadwa Benabdallah , M. Y. Abd-Rabbou , Mohammed Daoud , Saeed Haddadi

Operators in ergodic spin-chains are found to grow according to hydrodynamical equations of motion. The study of such operator spreading has aided our understanding of many-body quantum chaos in spin-chains. Here we initiate the study of…

Statistical Mechanics · Physics 2019-03-29 Sanjay Moudgalya , Trithep Devakul , C. W. von Keyserlingk , S. L. Sondhi

Recent advances in quantum information science have shed light on the intricate dynamics of quantum many-body systems, for which quantum information scrambling is a perfect example. Motivated by considerations of the thermodynamics of…

Quantum Physics · Physics 2024-06-18 Akram Touil , Sebastian Deffner

Measurement-induced phase transitions arise due to a competition between the scrambling of quantum information in a many-body system and local measurements. In this work we investigate these transitions in different classes of fast…

Quantum Physics · Physics 2022-03-29 Tomohiro Hashizume , Gregory Bentsen , Andrew J. Daley

We study theoretically entanglement and operator growth in a spin system coupled to an environment, which is modeled with classical dephasing noise. Using exact numerical simulations we show that the entanglement growth and its fluctuations…

Statistical Mechanics · Physics 2018-11-16 Michael Knap

Out-of-time-order correlators (OTOCs) have proven to be a useful tool for studying thermalisation in quantum systems. In particular, the exponential growth of OTOCS, or scrambling, is sometimes taken as an indicator of chaos in quantum…

Quantum Physics · Physics 2021-03-09 R. A. Kidd , A. Safavi-Naini , J. F. Corney

The resistivity around the ferromagnetic transition temperature in the double exchange model is studied by the Schwinger boson approach. The spatial spin correlation responsible for scattering of conduction electrons are taken into account…

Strongly Correlated Electrons · Physics 2007-05-23 Satoshi Ishizaka , Sumio Ishihara

We study quantum correlations and complexity of simulation, characterized by quantum mutual information and entanglement entropy in operator space respectively, for thermal states in critical, non-critical and quantum chaotic spin chains. A…

Quantum Physics · Physics 2008-08-12 Marko Znidaric , Tomaz Prosen , Iztok Pizorn

We present thermal expansion alpha, magnetostriction and specific heat C measurements of \tal, which shows a quantum phase transition from a spin-gap phase to a Neel-ordered ground state as a function of magnetic field around H_{C0}->4.8T.…

Strongly Correlated Electrons · Physics 2009-11-11 T. Lorenz , S. Stark , O. Heyer , N. Hollmann , A. Vasiliev , A. Oosawa , H. Tanaka

We prove bounds on operator growth and infinite temperature out-of-time-ordered correlators in many-body systems with $N$ spin-$\frac{1}{2}$ degrees of freedom which interact via two-body all-to-all interactions. Our results parametrically…

Quantum Physics · Physics 2020-08-12 Chao Yin , Andrew Lucas