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When spatial correlations are short-range, the physics of strongly correlated systems is controlled by local quantum fluctuations. In those regimes, Dynamical Mean-Field Theory can be viewed as a `compass' which provides guidance on the…

Strongly Correlated Electrons · Physics 2015-06-03 Antoine Georges

In quantum metrology, nonlinear many-body interactions can enhance the precision of Hamiltonian parameter estimation to surpass the Heisenberg scaling. Here, we consider the estimation of the interaction strength in linear systems with…

Quantum Physics · Physics 2022-02-22 Jing Yang , Shengshi Pang , Adolfo del Campo , Andrew N. Jordan

The microscopic organization of dynamical systems coupled via higher-order interactions plays a pivotal role in understanding their collective behavior. In this paper, we introduce a framework for systematically investigating the impact of…

Physics and Society · Physics 2025-01-14 Santiago Lamata-Otín , Federico Malizia , Vito Latora , Mattia Frasca , Jesús Gómez-Gardeñes

Long-range spin-spin interactions are known to generate non-equilibrium dynamics which can squeeze the collective spin of a quantum spin ensemble in a scalable manner, leading to states whose metrologically useful entanglement grows with…

Quantum Physics · Physics 2024-04-22 Tommaso Roscilde , Filippo Caleca , Adriano Angelone , Fabio Mezzacapo

Due to a phenomenon of many-body localization (MBL), the strong disorder may significantly slow down or even completely hinder the thermalization of quantum many-body systems. A sufficiently deep quasiperiodic potential may also inhibit…

Disordered Systems and Neural Networks · Physics 2025-01-14 Pedro R. Nicácio Falcão , Adith Sai Aramthottil , Piotr Sierant , Jakub Zakrzewski

The relaxation of uniform quantum systems with finite-range interactions after a quench is generically driven by the ballistic propagation of long-lived quasi-particle excitations triggered by a sufficiently small quench. Here we…

Quantum Gases · Physics 2018-02-07 Irénée Frérot , Piero Naldesi , Tommaso Roscilde

The existence of quasi-long range order is demonstrated in nonequilibrium steady states in isotropic $XY$ spin chains including of two types of additional terms that each generate a gap in the energy spectrum. The system is driven out of…

Quantum Gases · Physics 2019-11-19 Jarrett L. Lancaster , Joseph P. Godoy

Using a combination of numerically exact and renormalization-group techniques we study the nonequilibrium transport of electrons in an one-dimensional interacting system subject to a quasiperiodic potential. For this purpose we calculate…

Disordered Systems and Neural Networks · Physics 2017-11-01 Yevgeny Bar Lev , Dante M. Kennes , Christian Klöckner , David R. Reichman , Christoph Karrasch

We show that generic gapped quantum many-body states which respect an anomalous finite higher-form symmetry have an exponentially small overlap with any short-range entangled (SRE) state. Hence, anomalies of higher-form symmetries enforce…

Quantum Physics · Physics 2025-11-06 Po-Shen Hsin , Ryohei Kobayashi , Abhinav Prem

Tunneling in a quantum coherent structure is not restricted to only nearest neighbours. Hopping between distant sites is possible via the virtual occupation of otherwise avoided intermediate states. Here we report the observation of long…

Mesoscale and Nanoscale Physics · Physics 2014-05-06 R. Sánchez , G. Granger , L. Gaudreau , A. Kam , M. Pioro-Ladrière , S. A. Studenikin , P. Zawadzki , A. S. Sachrajda , G. Platero

It is shown that quantum uncertainty of motion in systems controlled mainly by gravity generally grows with orbital timescale $H^{-1}$, and dominates classical motion for trajectories separated by distances less than $\approx H^{-3/5}$ in…

General Relativity and Quantum Cosmology · Physics 2014-04-17 Craig J. Hogan

Searching for nonthermalized dynamics in interacting quantum systems is not only of fundamental theoretical interest in nonequilibrium quantum physics, but also of immense practical significance in quantum information processing. In this…

Quantum Gases · Physics 2020-02-26 Yikai Chen , Zi Cai

In the framework of semiclassical theory the universal properties of quantum systems with classically chaotic dynamics can be accounted for through correlations between partner periodic orbits with small action differences. So far, however,…

Chaotic Dynamics · Physics 2016-02-17 Boris Gutkin , Vladimir Osipov

Non-reciprocity and geometric frustration enable many-body systems to avoid crystalline order and instead exhibit complex, liquid-like behavior. Here we show that their interplay is richer than the sum of its parts, leading to surprising…

Statistical Mechanics · Physics 2026-04-07 Nilotpal Chakraborty , Anton Souslov , Claudio Castelnovo

Distant interactions at arbitrary locations and their dynamic control are fundamentally important for realizing large-scale photonic and quantum circuits. Conventional approaches suffer from short coupling distance, poor controllability,…

One way of making the transition between the quasi-long range order in a chain of S=1/2 spins coupled antiferromagnetically and the true long range order that occurs in a plane, is by assembling chains to make ladders of increasing width.…

Condensed Matter · Physics 2009-10-28 E. Dagotto , T. M. Rice

Quantum engineering requires controllable artificial systems with quantum coherence exceeding the device size and operation time. This can be achieved with geometrically confined low-dimensional electronic structures embedded within…

Systems describing the long-range interaction between individuals have attracted a lot of attention in the last years, in particular in relation with living systems. These systems are quadratic, written under the form of transport equations…

Analysis of PDEs · Mathematics 2023-06-13 Marie Doumic , Sophie Hecht , Benoit Perthame , Diane Peurichard

We introduce a class of spin models with long-range interactions---in the sense that they extend significantly beyond nearest neighbors---whose ground states can be constructed analytically and have a simple matrix product state…

Strongly Correlated Electrons · Physics 2015-06-19 Emanuele Levi , Igor Lesanovsky

We study a quasiperiodic Aubry Andre lattice arranged along a spiral curve. In this setup, the changing angle of the spiral naturally stretches and compresses the distances between neighboring sites, which in turn modulates the hopping…

Quantum Gases · Physics 2026-01-21 Hemant Kumar Sharma