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Many-body states that are invariant under particle relabelling, the permutation symmetric states, occur naturally when the system dynamics is described by symmetric processes or collective spin operators. We derive expressions for the…

Quantum Physics · Physics 2018-11-20 Akshay Seshadri , Vaibhav Madhok , Arul Lakshminarayan

Quantum mutual information (QMI) not only displays the mutual information in the system but also demonstrates some quantum correlation beyond entanglement. We explore here the two alternatives of multipartite quantum mutual information…

Quantum Physics · Physics 2023-09-01 Yu Guo , Lizhong Huang

We investigate the dynamics of multipartite entanglement after quenches from initial states which generate multiplets of quasiparticle excitations beyond the usual pair structure. We focus on the dynamics of tripartite entanglement through…

Statistical Mechanics · Physics 2024-08-23 Clément Berthiere

We study the multipartite entanglement of a quantum many-body system undergoing a quantum quench. We quantify multipartite entanglement through the quantum Fisher information (QFI) density and we are able to express it after a quench in…

Quantum Physics · Physics 2017-05-12 Silvia Pappalardi , Angelo Russomanno , Alessandro Silva , Rosario Fazio

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 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

The study of the dynamics of entanglement measures after a quench has become a very active area of research in the last two decades, motivated by the development of experimental techniques. However, exact results in this context are…

Statistical Mechanics · Physics 2023-02-01 Gilles Parez , Riccarda Bonsignori

We investigate the delocalization of quantum information in the nonequilibrium dynamics of the $XY$ spin chain with asymptotically decaying interactions $\sim 1/r^{\alpha}$. As a figure of merit, we employ the tripartite mutual information…

Quantum Physics · Physics 2021-10-20 Darvin Wanisch , Stephan Fritzsche

The mutual and tripartite information between pairs and triples of disjoint regions in a quantum field theory are sensitive probes of the spread of correlations in an equilibrating system. We compute these quantities in strongly coupled…

High Energy Physics - Theory · Physics 2011-12-05 V. Balasubramanian , A. Bernamonti , N. Copland , B. Craps , F. Galli

We study the growth of entanglement between two adjacent regions in a tripartite, one-dimensional many-body system after a quantum quench. Combining a replica trick with a space-time duality transformation, we derive an exact, universal…

Quantum Physics · Physics 2022-10-04 Bruno Bertini , Katja Klobas , Tsung-Cheng Lu

In a non-equilibrium many-body system, the quantum information dynamics between non-complementary regions is a crucial feature to understand the local relaxation towards statistical ensembles. Unfortunately, its characterization is a…

Statistical Mechanics · Physics 2019-07-31 Vincenzo Alba , Pasquale Calabrese

Multipartite entanglement tomography, namely the quantum Fisher information (QFI) calculated with respect to different collective operators, allows to fully characterize the phase diagram of the quantum Ising chain in a transverse field…

Quantum Physics · Physics 2019-05-22 Marco Gabbrielli , Luca Lepori , Luca Pezzè

We study the temporal evolution of the mutual information (MI) in a one-dimensional Kitaev chain, coupled to a fermionic Markovian bath, subsequent to a global quench of the chemical potential. In the unitary case, the MI (or equivalently…

Statistical Mechanics · Physics 2020-05-27 Somnath Maity , Souvik Bandyopadhyay , Sourav Bhattacharjee , Amit Dutta

The quasi-particle picture is a powerful tool to understand the entanglement spreading in many-body quantum systems after a quench. As an input, the structure of the excitations' pattern of the initial state must be provided, the common…

Statistical Mechanics · Physics 2020-03-25 Alvise Bastianello , Mario Collura

We study the dynamics of (R\'enyi) mutual information, logarithmic negativity, and (R\'enyi) reflected entropy after exciting the ground state by a local operator. Together with recent results from Ref. [1], we are able to conjecture a…

High Energy Physics - Theory · Physics 2021-03-31 Jonah Kudler-Flam , Yuya Kusuki , Shinsei Ryu

We study the dynamics of the transverse field Ising chain after a local quench in which two independently thermalised chains are joined together and are left to evolve unitarily. In the emerging non-equilibrium steady state the R\'enyi…

Statistical Mechanics · Physics 2017-06-08 Márton Kormos , Zoltán Zimborás

We systematically investigate scrambling (or delocalizing) processes of quantum information encoded in quantum many-body systems by using numerical exact diagonalization. As a measure of scrambling, we adopt the tripartite mutual…

Statistical Mechanics · Physics 2018-04-25 Eiki Iyoda , Takahiro Sagawa

How quantum information is scrambled in the global degrees of freedom of non-equilibrium many-body systems is a key question to understand local thermalization. Here we propose that the scaling of the mutual information between two…

Statistical Mechanics · Physics 2019-10-01 Vincenzo Alba , Pasquale Calabrese

We analyze the dynamics of entanglement in a paradigmatic noninteracting system subject to continuous monitoring of the local excitation densities. Recently, it was conjectured that the evolution of quantum correlations in such system is…

Statistical Mechanics · Physics 2022-12-26 Federico Carollo , Vincenzo Alba

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
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