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We study dimensional crossover in Ising systems at complex temperatures by comparing three types of system: the infinite isotropic 2D Ising model; the infinite anisotropic 2D Ising model; and Ising ladders with a finite number of legs. In…

Statistical Mechanics · Physics 2020-04-22 Sankhya Basu , Chris A. Hooley , Vadim Oganesyan

Disordered systems provide paradigmatic instances of ergodicity breaking and localization phenomena. Here we explore the dynamics of excitations in a system of Rydberg atoms held in optical tweezers. The finite temperature produces an…

Study how quantum information propagates through spacetime manifold provides a means of identifying, distinguishing, and classifying novel phases of matter fertilized by many-body effects in strongly interacting systems in and out of…

Disordered Systems and Neural Networks · Physics 2022-09-21 Chun Chen , Xiaoqun Wang , Yan Chen

We study many-body localization (MBL) in a one-dimensional system of spinless fermions with a deterministic aperiodic potential in the presence of long-range interactions or long-range hopping. Based on perturbative arguments there is a…

Disordered Systems and Neural Networks · Physics 2019-06-14 Sabyasachi Nag , Arti Garg

We consider fully many-body localized systems, i.e. isolated quantum systems where all the many-body eigenstates of the Hamiltonian are localized. We define a sense in which such systems are integrable, with localized conserved operators.…

Statistical Mechanics · Physics 2014-11-19 David A. Huse , Rahul Nandkishore , Vadim Oganesyan

We investigate a two-dimensional Ising model with long-range interactions that emerge from a generalization of the magnetic dipolar interaction in spin systems with in-plane spin orientation. This interaction is, in general, anisotropic…

Statistical Mechanics · Physics 2009-11-10 Daniel Grüneberg , Alfred Hucht

We examine the stability of marginally Anderson localized phase transitions between localized phases to the addition of many-body interactions, focusing in particular on the spin-glass to paramagnet transition in a disordered transverse…

Disordered Systems and Neural Networks · Physics 2020-08-21 Sanjay Moudgalya , David A. Huse , Vedika Khemani

Ising models, and the physical systems described by them, play a central role in generating entangled states for use in quantum metrology and quantum information. In particular, ultracold atomic gases, trapped ion systems, and Rydberg atoms…

Motivated by recent experiments with ultra-cold matter, we derive a new bound on the propagation of information in $D$-dimensional lattice models exhibiting $1/r^{\alpha}$ interactions with $\alpha>D$. The bound contains two terms: One…

Quantum Physics · Physics 2015-10-06 Zhe-Xuan Gong , Michael Foss-Feig , Spyridon Michalakis , Alexey V. Gorshkov

The transition from a many-body localized phase to a thermalizing one is a dynamical quantum phase transition which lies outside the framework of equilibrium statistical mechanics. We provide a detailed study of the critical properties of…

Disordered Systems and Neural Networks · Physics 2017-04-27 Vedika Khemani , S. P. Lim , D. N. Sheng , David A. Huse

Characterizing the delocalization transition in closed quantum systems with a many-body localized phase is a key open question in the field of nonequilibrium physics. We exploit that localization of particles as realized in Anderson and…

Disordered Systems and Neural Networks · Physics 2021-12-17 Miroslav Hopjan , Giuliano Orso , Fabian Heidrich-Meisner

The absence of thermalization in certain isolated many-body systems is of great fundamental interest. Many-body localization (MBL) is a widely studied mechanism for thermalization to fail in strongly disordered quantum systems, but it is…

Disordered Systems and Neural Networks · Physics 2023-11-07 L. J. Stanley , Ping V. Lin , J. Jaroszyński , Dragana Popović

Many-body localization is characterized by a slow logarithmic growth of the entanglement entropy after a global quantum quench while the local memory of an initial density imbalance remains at infinite time. We investigate how much the…

Disordered Systems and Neural Networks · Physics 2017-05-30 David J. Luitz , Nicolas Laflorencie , Fabien Alet

Systems of strongly interacting dipoles offer an attractive platform to study many-body localized phases, owing to their long coherence times and strong interactions. We explore conditions under which such localized phases persist in the…

Many interesting experimental systems, such as cavity QED or central spin models, involve global coupling to a single harmonic mode. Out-of-equilibrium, it remains unclear under what conditions localized phases survive such global coupling.…

Disordered Systems and Neural Networks · Physics 2023-10-31 Saeed Rahmanian Koshkaki , Michael H. Kolodrubetz

Motivated by the recent experiments that reported signatures of many-body localization of ultracold atoms in optical lattices [M. Schreiber {\it et al.}, Science {\bf 349}, 842 (2015)], we study dynamics of highly excited states in the…

Strongly Correlated Electrons · Physics 2019-03-13 Ivan Protopopov , Dmitry Abanin

We reinvestigate the behavior of the conductivity of several disordered quantum lattice models at infinite temperature using exact diagonalization. Contrary to the conclusion drawn in a recent investigation of similar quantities in…

Disordered Systems and Neural Networks · Physics 2013-05-29 Timothy C. Berkelbach , David R. Reichman

The occupation number is a key observable for diagnosing thermalization, as it connects directly to standard statistical laws such as Fermi--Dirac, Bose--Einstein, and Boltzmann distributions. In the context of spin systems, it represents…

Statistical Mechanics · Physics 2026-01-07 Isaías Vallejo-Fabila , Fausto Borgonovi , Felix M. Izrailev , Lea F. Santos

For short-ranged disordered quantum models in one dimension, the Many-Body-Localization is analyzed via the adaptation to the Many-Body context [M. Serbyn, Z. Papic and D.A. Abanin, PRX 5, 041047 (2015)] of the Thouless point of view on the…

Disordered Systems and Neural Networks · Physics 2016-07-11 Cecile Monthus

Using numerically exact methods we study transport in an interacting spin chain which for sufficiently strong spatially constant electric field is expected to experience Stark many-body localization. We show that starting from a generic…

Disordered Systems and Neural Networks · Physics 2022-04-20 Guy Zisling , Dante M. Kennes , Yevgeny Bar Lev
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