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The success of a quantum annealing algorithm requires a polynomial scaling of the energy gap. Recently it was shown that a two-dimensional transverse-field Ising model on a square lattice with nearest-neighbor $\pm J$ random coupling has a…

Disordered Systems and Neural Networks · Physics 2025-12-04 G. -X. Tang , J. -Z. Zhuang , L. -M. Duan , Y. -K. Wu

We investigate the quantum dynamics generated by quantum quenches (QQs) of the Hamiltonian parameters in many-body systems, focusing on protocols that cross first-order and continuous quantum transitions, both in finite-size systems and in…

Statistical Mechanics · Physics 2026-04-29 Andrea Pelissetto , Davide Rossini , Ettore Vicari

In this paper we analize a family of one dimensional fully analytically solvable models, named the n-cluster models in a transverse magnetic field, in which a many-body cluster interaction competes with a uniform transverse magnetic field.…

Quantum Physics · Physics 2018-07-04 G. Zonzo , S. M. Giampaolo

Low temperature dynamics of Ising ferromagnets under finite magnetic fields are studied in terms of quantum spin representations of stochastic evolution operators. These are constructed for the Glauber dynamic as well as for a modification…

Statistical Mechanics · Physics 2007-05-23 M. D. Grynberg , R. B. Stinchcombe

Neural Quantum States (NQS) are powerful tools used to represent complex quantum many-body states in an increasingly wide range of applications. However, despite their popularity, at present only a rudimentary understanding of their…

We consider the time evolution of the gaps of the entanglement spectrum for a block of consecutive sites in finite transverse field Ising chains after sudden quenches of the magnetic field. We provide numerical evidence that, whenever we…

Statistical Mechanics · Physics 2020-07-01 Jacopo Surace , Luca Tagliacozzo , Erik Tonni

We consider closed quantum many-body systems subject to stochastic resetting. This means that their unitary time evolution is interrupted by resets at randomly selected times. When a reset takes place the system is reinitialized to a state…

Statistical Mechanics · Physics 2021-12-15 Gabriele Perfetto , Federico Carollo , Matteo Magoni , Igor Lesanovsky

We introduce a model of interacting lattices at different resolutions driven by the two-dimensional Ising dynamics with a nearest-neighbor interaction. We study this model both with tools borrowed from equilibrium statistical mechanics as…

Statistical Mechanics · Physics 2015-12-15 Davide Faranda , Martin Mihelich , Berengere Dubrulle

We put forward a phenomenological theory for entanglement dynamics in monitored quantum many-body systems with well-defined quasiparticles. Within this theory entanglement is carried by ballistically propagating non-Hermitian quasiparticles…

Statistical Mechanics · Physics 2023-04-21 Xhek Turkeshi , Marcello Dalmonte , Rosario Fazio , Marco Schirò

We study the dynamics of thermalization resulting from a time-dependent noise in a Quantum Ising Chain subject to a sudden quench of the transverse magnetic field. For weak noise the dynamics shows a pre-thermalized state at intermediate…

Statistical Mechanics · Physics 2015-06-04 Jamir Marino , Alessandro Silva

We perform an extensive study of the properties of global quantum correlations in finite-size one-dimensional quantum spin models at finite temperature. By adopting a recently proposed measure for global quantum correlations [C. C. Rulli,…

Quantum Physics · Physics 2013-04-24 S. Campbell , L. Mazzola , G. De Chiara , T. J. G Apollaro , F. Plastina , Th. Busch , M. Paternostro

Dynamical detection of quantum phases and phase transitions (QPT) in quenched systems with experimentally convenient initial states is a topic of interest from both theoretical and experimental perspectives. Quenched from polarized states,…

Quantum Physics · Physics 2021-06-10 Ceren B. Dağ , Kai Sun

The correlated non-equilibrium quantum dynamics following a multiple interaction quench protocol for few-bosonic ensembles confined in finite optical lattices is investigated. The quenches give rise to an interwell tunneling and excite the…

Quantum Physics · Physics 2017-10-31 J. Neuhaus-Steinmetz , S. I. Mistakidis , P. Schmelcher

The scaling behavior of the entanglement entropy in the two-dimensional random transverse field Ising model is studied numerically through the strong disordered renormalization group method. We find that the leading term of the entanglement…

Disordered Systems and Neural Networks · Physics 2009-11-13 Rong Yu , Hubert Saleur , Stephan Haas

We identify quantum many-body scars in the transverse field quantum Ising model on a ladder. We make explicit how the corresponding (mid spectrum, low entanglement) many-body eigenstates can be approximated by injecting quasi-particle…

Strongly Correlated Electrons · Physics 2020-07-01 Bart van Voorden , Jiří Minář , Kareljan Schoutens

We introduce quantum fluctuations into the simulated annealing process of optimization problems, aiming at faster convergence to the optimal state. Quantum fluctuations cause transitions between states and thus play the same role as thermal…

Statistical Mechanics · Physics 2009-10-31 Tadashi Kadowaki , Hidetoshi Nishimori

We study the zero temperature quenching dynamics of various extensions of the transverse Ising model (TIM) when the transverse field is linearly quenched from $-\infty$ to $+\infty$ (or zero) at a finite and uniform rate. The rate of…

Statistical Mechanics · Physics 2008-01-18 Uma Divakaran , Amit Dutta

Obtaining quantitative ground-state behavior for geometrically-frustrated quantum magnets with long-range interactions is challenging for numerical methods. Here, we demonstrate that the ground states of these systems on two-dimensional…

Strongly Correlated Electrons · Physics 2019-04-04 S. N. Saadatmand , S. D. Bartlett , I. P. McCulloch

We investigate the effects of quenched bond randomness on the critical properties of the two-dimensional ferromagnetic Ising model embedded in a triangular lattice. The system is studied in both the pure and disordered versions by the same…

Statistical Mechanics · Physics 2010-04-16 Nikolaos G. Fytas , Anastasios Malakis

The interplay of disorder and strong correlations in quantum many-body systems remains an open question. That is despite much progress made in recent years with ultracold atoms in optical lattices to better understand phenomena such as…

Strongly Correlated Electrons · Physics 2021-10-19 Jacob Park , Ehsan Khatami