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Quasiparticle properties of quantum magnets with long-range interactions are investigated by high-order linked-cluster expansions in the thermodynamic limit. It is established that perturbative continuous unitary transformations on white…

Strongly Correlated Electrons · Physics 2016-09-06 S. Fey , K. P. Schmidt

For a transverse-field Ising chain with weak long-range interactions we develop a perturbative scheme, based on quantum kinetic equations, around the integrable nearest-neighbour model. We introduce, discuss, and benchmark several…

Quantum Physics · Physics 2019-03-14 Clément Duval , Michael Kastner

We argue that in a large class of disordered quantum many-body systems, the late time dynamics of time-dependent correlation functions is captured by random matrix theory, specifically the energy eigenvalue statistics of the corresponding…

High Energy Physics - Theory · Physics 2021-01-14 Jordan Cotler , Nicholas Hunter-Jones

Simulating the real-time evolution of quantum spin systems far out of equilibrium poses a major theoretical challenge, especially in more than one dimension. We experimentally explore the dynamics of a two-dimensional Ising spin system with…

In this paper we study the phase diagram of two Ising planes coupled by a standard spin-spin interaction with bond randomness in each plane. The whole phase diagram is analyzed by help of Monte Carlo simulations and field theory arguments.

Disordered Systems and Neural Networks · Physics 2008-11-26 P. Simon , F. Ricci-Tersenghi

We consider a dynamic protocol for quantum many-body systems, which enables to study the interplay between unitary Hamiltonian driving and random local projective measurements. While the unitary dynamics tends to increase entanglement,…

Statistical Mechanics · Physics 2020-07-15 Davide Rossini , Ettore Vicari

Harnessing power-law interactions ($1/r^\alpha$) in a large variety of physical systems are increasing. We study the dynamics of chiral spin chains as a possible multi-directional quantum channel. This arises from the nonlinear character of…

Strongly Correlated Electrons · Physics 2022-06-13 Javad Vahedi

We study the non-equilibrium time evolution of the average transverse magnetisation and end-to-end correlation functions of the random Ising quantum chain. Starting with fully magnetised states, either in the $x$ or $z$ direction, we…

Statistical Mechanics · Physics 2009-11-07 Stéphane Abriet , Dragi Karevski

Clean and interacting periodically driven quantum systems are believed to exhibit a single, trivial "infinite-temperature" Floquet-ergodic phase. In contrast, here we show that their disordered Floquet many-body localized counterparts can…

Disordered Systems and Neural Networks · Physics 2016-08-23 Vedika Khemani , Achilleas Lazarides , Roderich Moessner , S. L. Sondhi

Dynamical quantum phase transitions are at the forefront of current efforts to understand quantum matter out of equilibrium. Except for a few exactly solvable models, predictions of these critical phenomena typically rely on advanced…

Strongly Correlated Electrons · Physics 2022-07-18 Fredrik Brange , Sebastiano Peotta , Christian Flindt , Teemu Ojanen

We investigate phase transitions of two-dimensional Ising models with power-law interactions, using an efficient Monte Carlo algorithm. For slow decay, the transition is of the mean-field type; for fast decay, it belongs to the short-range…

Statistical Mechanics · Physics 2009-11-07 Erik Luijten , Henk W. J. Blöte

We compare quantum dynamics in the presence of Markovian dephasing for a particle hopping on a chain and for an Ising domain wall whose motion leaves behind a string of flipped spins. Exact solutions show that on an infinite chain, the…

Mesoscale and Nanoscale Physics · Physics 2018-05-23 Claudio Castelnovo , Mark I. Dykman , Vadim N. Smelyanskiy , Roderich Moessner , Leonid P. Pryadko

Eukaryotic cilia and flagella are chemo-mechanical oscillators capable of generating long-range coordinated motions known as metachronal waves. Pair synchronization is a fundamental requirement for these collective dynamics, but it is…

Biological Physics · Physics 2016-06-03 Douglas R. Brumley , Nicolas Bruot , Jurij Kotar , Raymond E. Goldstein , Pietro Cicuta , Marco Polin

We study the dynamical quantum phase transitions (DQPTs) manifested in the subsequent unitary dynamics of an extended Ising model with additional three spin interactions following a sudden quench. Revisiting the equilibrium phase diagram of…

Statistical Mechanics · Physics 2018-04-24 Sourav Bhattacharjee , Amit Dutta

Phase space representations of the dynamics of the quantal and classical cat map are used to explore quantum--classical correspondence in a K-system: as $\hbar \to 0$, the classical chaotic behavior is shown to emerge smoothly and exactly.…

chao-dyn · Physics 2009-10-28 Arjendu K. Pattanayak , Paul Brumer

Using an infinite Matrix Product State (iMPS) technique based on the time-dependent variational principle (TDVP), we study two major types of dynamical phase transitions (DPT) in the one-dimensional transverse-field Ising model (TFIM) with…

Statistical Mechanics · Physics 2018-07-23 Jad C. Halimeh , Valentin Zauner-Stauber

The quantum long-range extended Ising model possesses several striking features that cannot be observed in the corresponding short-range model. We report that the pattern obtained from the entanglement between any two arbitrary sites of the…

Quantum Physics · Physics 2024-07-25 Leela Ganesh Chandra Lakkaraju , Srijon Ghosh , Debasis Sadhukan , Aditi Sen De

In quantum mechanical many-body systems, long-range and anisotropic interactions promote rich spatial structure and can lead to quantum frustration, giving rise to a wealth of complex, strongly correlated quantum phases. Long-range…

We employ the mean-field approach in the fermionic picture of the spin-1/2 XXZ chain to investigate the dynamics of bipartite quantum discord and concurrence under sudden quenching. In the case, when quenching is performed in the anisotropy…

Quantum Physics · Physics 2018-12-05 Utkarsh Mishra , Hadi Cheraghi , Saeed Mahdavifar , R. Jafari , Alireza Akbari

Quantum small-worlds are quantum many-body systems that interpolate between completely ordered (nearest-neighbour, next-to-nearest-neighbour etc.) and completely random interactions. As such, they furnish a novel new laboratory to study…

High Energy Physics - Theory · Physics 2019-01-16 Jean-Gabriel Hartmann , Jeff Murugan , Jonathan P. Shock
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