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We use quantum information measures to study the local quantum phase transition that occurs for trapped spinless fermions in one-dimensional lattices. We focus on the case of a harmonic confinement. The transition occurs upon increasing the…

Statistical Mechanics · Physics 2018-04-10 Yicheng Zhang , Lev Vidmar , Marcos Rigol

Hybrid quantum systems consisting of a collection of N spin-1/2 particles uniformly interacting with an electromagnetic field, such as one confined in a cavity, are important for the development of quantum information processors and will be…

Quantum Physics · Physics 2024-12-04 Lane G. Gunderman , Troy Borneman , David G. Cory

The notion of information scrambling is tied to the long-time behaviour of a system and therefore is related to its infra-red dynamics. In fast scramblers, information spreads as a logarithmic function of the number of degrees of freedom.…

High Energy Physics - Theory · Physics 2020-06-22 Arnab Kundu

We consider the statistical properties of eigenstates of the time-evolution operator in chaotic many-body quantum systems. Our focus is on correlations between eigenstates that are specific to spatially extended systems and that…

Quantum Physics · Physics 2024-08-21 Dominik Hahn , David J. Luitz , J. T. Chalker

Quantum information spreading and scrambling in many-body systems attract interests these days. Tripartite mutual information (TMI) based on operator-based entanglement entropy (EE) is an efficient tool for measuring them. In this paper, we…

Quantum Physics · Physics 2022-09-23 Takahiro Orito , Yoshihito Kuno , Ikuo Ichinose

We study time evolution of distance between thermal states excited by local operators, with different external couplings. We find that growth of the distance implies growth of commutators of operators, signifying the local excitations are…

High Energy Physics - Theory · Physics 2016-09-16 Masamichi Miyaji

This work develops a rigorous setting allowing one to prove several features related to the behaviour of the Heisenberg-Ising (or XXZ) spin-$1/2$ chain at finite temperature $T$. Within the quantum inverse scattering method the physically…

Mathematical Physics · Physics 2024-06-18 Frank Göhmann , Salvish Goomanee , Karol K. Kozlowski , Junji Suzuki

Solving the time-dependent quantum many-body Schr\"odinger equation is a challenging task, especially for states at a finite temperature, where the environment affects the dynamics. Most existing approximating methods are designed to…

Quantum Physics · Physics 2024-05-24 Jannes Nys , Zakari Denis , Giuseppe Carleo

It was recently conjectured that in generic quantum many-body systems, the spectral density of local operators has the slowest high-frequency decay as permitted by locality. We show that the infinite-temperature version of this "universal…

Statistical Mechanics · Physics 2021-06-11 Xiangyu Cao

In closed quantum many-body systems, initially localized information spreads throughout the system and becomes highly complex. This phenomenon, known as information scrambling, is closely related to entropy growth and quantum…

Quantum Physics · Physics 2025-02-12 Yuke Zhang , Zeyu Liu , Shuo Zhang , Langxuan Chen , Pengfei Zhang

The study of information scrambling has profoundly deepened our understanding of many-body quantum systems. Much recent research has been devote to understanding the interplay between scrambling and decoherence in open systems. Continuing…

Quantum Physics · Physics 2025-11-04 Emanuel Dallas , Faidon Andreadakis , Paolo Zanardi

We study scrambling, an avatar of chaos, in a weakly interacting metal in the presence of random potential disorder. It is well known that charge and heat spread via diffusion in such an interacting disordered metal. In contrast, we show…

Strongly Correlated Electrons · Physics 2017-09-15 Aavishkar A. Patel , Debanjan Chowdhury , Subir Sachdev , Brian Swingle

We investigate the relationship between information scrambling and work statistics after a quench for the paradigmatic example of short-range interacting particles in a one-dimensional harmonic trap, considering up to five particles…

Quantum Physics · Physics 2022-02-22 Mathias Mikkelsen , Thomás Fogarty , Thomas Busch

We investigate transport in several translationally invariant spin-1/2 chains in the limit of high temperatures. We concretely consider spin transport in the anisotropic Heisenberg chain, the pure Heisenberg chain within an alternating…

Statistical Mechanics · Physics 2009-11-03 Robin Steinigeweg , Jochen Gemmer

One-band Hubbard model with hopping parameter $t$ and Coulomb repulsion $U$ is considered at half filling. By means of the Schwinger bosons and slave Fermions representation of the electron operators and integrating out the spin-singlet…

Strongly Correlated Electrons · Physics 2015-06-04 Naoum Karchev

We solve for the SU(N) Heisenberg spin-glass in the limit of large N focusing on small S and T. We study the effect of quantum and thermal fluctuations in the frequency dependent response function and observed interesting transfers of…

Strongly Correlated Electrons · Physics 2009-11-07 A. Camjayi , M. J. Rozenberg

We study the macroscopic entanglement properties of a low dimensional quantum spin system by investigating its magnetic properties at low temperatures and high magnetic fields. The tempera- ture and magnetic field dependence of entanglement…

Quantum Physics · Physics 2016-11-26 Diptaranjan Das , Tanmoy Chakraborty , Harkirat Singh , Chiranjib Mitra

Frustrated quantum spin systems such as the Heisenberg and Kitaev models on various lattices, have been known to exhibit various exotic properties not only at zero temperature but also for finite temperatures. Inspired by the remarkable…

Strongly Correlated Electrons · Physics 2020-03-04 Katsuhiro Morita , Takami Tohyama

We investigate quantum entanglement in two-spin-1/2 NMR systems at thermal equilibrium under external magnetic fields. We derive closed-form analytical expressions for the entanglement of the system and show how the entanglement depends on…

Quantum Physics · Physics 2025-12-02 Fatemeh Khashami , Stefan Glöggler

Fast scramblers are quantum systems which thermalize in a time scale logarithmic in the number of degrees of freedom of the system. Non-locality has been argued to be an essential feature of fast scramblers. We provide evidence in support…

High Energy Physics - Theory · Physics 2012-07-12 Mohammad Edalati , Willy Fischler , Juan F. Pedraza , Walter Tangarife Garcia
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