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We consider pure quantum states of $N\gg 1$ spins or qubits and study the average entanglement that can be \emph{localized} between two separated spins by performing local measurements on the other individual spins. We show that all…

Quantum Physics · Physics 2007-05-23 F. Verstraete , M. Popp , J. I. Cirac

We examine lower order perturbations of the harmonic map prob- lem from $\mathbb{R}^2$ to $\mathbb{S}^2$ including chiral interaction in form of a helicity term that prefers modulation, and a potential term that enables decay to a uniform…

Analysis of PDEs · Mathematics 2016-11-08 Lukas Döring , Christof Melcher

The long-time dynamics of quantum systems, typically, but not always, results in a thermal steady state. The microscopic processes that lead to or circumvent this fate are of interest, since everyday experience tells us that not all spatial…

Statistical Mechanics · Physics 2024-05-13 Ken K. W. Ma , Hitesh J. Changlani

The capacity of a quantum many-body system to preserve global information -- encoded in the non-local correlations -- is a prerequisite for robust quantum computing. Unlike local degrees of freedom, large structures offer inherent…

Quantum Physics · Physics 2026-05-25 Xiao Wang , Alexander Yosifov , Aditya Iyer , Jinzhao Sun

Developing quantum technologies requires the control and understanding of the non-equilibrium dynamics of quantum information in many-body systems. Local information propagates in the system by creating complex correlations known as…

Quantum Physics · Physics 2021-12-08 Federico D. Domínguez , Gonzalo A. Álvarez

We report the observation of spontaneous localization of energy in two spatial dimensions in the context of nonlinear electrical lattices. Both stationary and traveling self-localized modes were generated experimentally and theoretically in…

Pattern Formation and Solitons · Physics 2013-08-21 L. Q. English , F. Palmero , J. F. Stormes , J. Cuevas , R. Carretero-González , P. G. Kevrekidis

Strong disorder inhibits thermalization in isolated quantum systems and may lead to many-body localization (MBL). In realistic situations, however, the observation of MBL is hindered by residual couplings of the system to an environment,…

Statistical Mechanics · Physics 2024-04-01 Jonas Richter

The emergent integrability in a many-body localized (MBL) system can be well characterized by the existence of the complete set of local integrals of motion (LIOMs). Such exactly conserved and exponentially localized operators are often…

Disordered Systems and Neural Networks · Physics 2023-03-29 Z. Gholami , M. Amini , M. Soltani , E. Ghanbari-Adivi

We study in detail the properties of the quantum East model, an interacting quantum spin chain inspired by simple kinetically-constrained models of classical glasses. Through a combination of analytics, exact diagonalization and…

Statistical Mechanics · Physics 2020-06-09 Nicola Pancotti , Giacomo Giudice , J. Ignacio Cirac , Juan P. Garrahan , Mari Carmen Bañuls

We characterise and study dynamical localisation of a finite interacting quantum many-body system. We present explicit bounds on the disorder strength required for the onset of localisation of the dynamics of arbitrary ensemble of sites of…

Mathematical Physics · Physics 2014-02-07 P. -L. Giscard , Z. Choo , M. T. Mitchison , J. J. Mendoza-Arenas , D. Jaksch

We introduce a one-dimensional plaquette orbital model with a topology of a ladder and alternating interactions between $x$ and $z$ pseudospin components along both the ladder legs and on the rungs. We show that it is equivalent to an…

Strongly Correlated Electrons · Physics 2014-08-04 Wojciech Brzezicki , Andrzej M. Oleś

The delocalization or scrambling of quantum information has emerged as a central ingredient in the understanding of thermalization in isolated quantum many-body systems. Recently, significant progress has been made analytically by modeling…

Statistical Mechanics · Physics 2022-04-20 Jonah Kudler-Flam , Ramanjit Sohal , Laimei Nie

Using a numerically exact method we study the stability of dynamical localization to the addition of interactions in a periodically driven isolated quantum system which conserves only the total number of particles. We find that while even…

Strongly Correlated Electrons · Physics 2017-10-27 David J. Luitz , Yevgeny Bar Lev , Achilleas Lazarides

In this work we analyze the simultaneous emergence of diffusive energy transport and local thermalization in a nonequilibrium one-dimensional quantum system, as a result of integrability breaking. Specifically, we discuss the local…

Statistical Mechanics · Physics 2016-11-21 J. J. Mendoza-Arenas , S. R. Clark , D. Jaksch

Dynamical localization is one of the most startling manifestations of quantum interference, where the evolution of a simple system is frozen out under a suitably tuned coherent periodic drive. Here, we show that, although any randomness in…

Statistical Mechanics · Physics 2015-03-17 Analabha Roy , Arnab Das

Strongly disordered systems in the many-body localized (MBL) phase can exhibit ground state order in highly excited eigenstates. The interplay between localization, symmetry, and topology has led to the characterization of a broad landscape…

Disordered Systems and Neural Networks · Physics 2021-03-17 Rahul Sahay , Francisco Machado , Bingtian Ye , Chris R. Laumann , Norman Y. Yao

We propose a model describing $N$ spin-1/2 systems coupled through $N$-order homogeneous interaction terms, in presence of local time-dependent magnetic fields. This model can be experimentally implemented with current technologies in…

Quantum Physics · Physics 2018-10-25 R. Grimaudo , L. Lamata , E. Solano , A. Messina

Intrinsic localized modes (ILMs), also called discrete breathers, are directly generated via modulational instability in an array of coupled pendulums. These ILMs can be stabilized over a range of driver frequencies and amplitudes. They are…

Pattern Formation and Solitons · Physics 2009-11-13 R. Basu Thakur , L. Q. English , A. J. Sievers

We show that a quantum dynamical localization effect can be observed in a generic thermalization process of two weakly-coupled chaotic subsystems. Specifically, our model consists of the minimal experimentally relevant subsystems that…

Quantum Gases · Physics 2020-04-06 Christine Khripkov , Amichay Vardi , Doron Cohen

Collective organization in matter plays a significant role in its expressed physical properties. Typically, it is detected via an order parameter, appropriately defined for each given system's observed emergent patterns. Recent developments…

Statistical Mechanics · Physics 2016-08-16 V. S. Vijayaraghavan , R. G. James , J. P. Crutchfield