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The competition between interactions and dissipative processes in a quantum many-body system can drive phase transitions of different order. Exploiting a combination of cluster methods and quantum trajectories, we show how the systematic…

Statistical Mechanics · Physics 2018-12-19 Jiasen Jin , Alberto Biella , Oscar Viyuela , Cristiano Ciuti , Rosario Fazio , Davide Rossini

The non-Hermitian skin effect is an anomalous localization phenomenon induced by nonreciprocal dissipation and has attracted considerable attention in recent years both theoretically and experimentally. In this article, we review the…

Disordered Systems and Neural Networks · Physics 2026-03-30 Shu Hamanaka

We present a general theoretical formulation to describe the interlayer interaction in incommensurate bilayer systems with arbitrary crystal structures. By starting from the tight- binding model with the distance-dependent transfer…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Mikito Koshino

Quantum many-body scars have been put forward as counterexamples to the Eigenstate Thermalization Hypothesis. These atypical states are observed in a range of correlated models as long-lived oscillations of local observables in quench…

Statistical Mechanics · Physics 2021-10-13 Hongzheng Zhao , Adam Smith , Florian Mintert , Johannes Knolle

Beyond the regime of distinguishable particles, many-body quantum interferences influence quantum transport in an intricate manner. However, symmetries of the single-particle transformation matrix alleviate this complexity and even allow…

Quantum Physics · Physics 2018-06-19 Christoph Dittel , Robert Keil , Gregor Weihs

We show that many-body systems with conserved particle number which have the symmetries corresponding to a nonsymmorphic space group have low lying excitations for certain integer values of the particle number per unit cell. These results…

Strongly Correlated Electrons · Physics 2012-12-13 Rahul Roy

Ising's solution of a classical spin model famously demonstrated the absence of a positive-temperature phase transition in one-dimensional equilibrium systems with short-range interactions. No-go arguments established that the energy cost…

Statistical Mechanics · Physics 2020-03-24 Petro Sarkanych , Yurij Holovatch , Ralph Kenna

This comment is dedicated to the investigation of many-body localization in a quantum Ising model with long-range power law interactions, $r^{-\alpha}$, relevant for a variety of systems ranging from electrons in Anderson insulators to spin…

Disordered Systems and Neural Networks · Physics 2017-12-06 Andrii O. Maksymov , Noah Rahman , Eliot Kapit , Alexander L. Burin

Hilbert space fragmentation provides a mechanism to break ergodicity in closed many-body systems. Here, we propose a feasible scheme to explore this exotic paradigm on a Rydberg quantum simulator. We show that the Rydberg Ising model in the…

Quantum Physics · Physics 2025-04-28 Fan Yang , Hadi Yarloo , Hua-Chen Zhang , Klaus Mølmer , Anne E. B. Nielsen

Investigating many-body localization (MBL) using exact numerical methods is limited by the exponentialgrowth of the Hilbert space. However, localized eigenstates display multifractality and only extend over a vanishing fraction of the…

Disordered Systems and Neural Networks · Physics 2022-01-13 Francesca Pietracaprina , Nicolas Laflorencie

Quantum spin models with a large number of interaction partners per spin are frequently used to describe modern many-body quantum optical systems like arrays of Rydberg atoms, atom-cavity systems or trapped ion crystals. For theoretical…

Quantum Gases · Physics 2024-12-03 Benedikt Schneider , Ruben Burkard , Beatriz Olmos , Igor Lesanovsky , Björn Sbierski

We implement an algorithm which is aimed to reduce the dimensions of the Hilbert space of quantum many-body systems by means of a renormalization procedure. We test the role and importance of different representations on the reduction…

Quantum Physics · Physics 2015-05-27 Tarek Khalil , Jean Richert

Recently, it has been suggested that the Many-Body Localized phase can be characterized by local integrals of motion. Here we introduce a Hilbert space preserving renormalization scheme that iteratively finds such integrals of motion…

Strongly Correlated Electrons · Physics 2016-01-13 Louk Rademaker , Miguel Ortuño

In this work, we undertake the problem of formally introducing a notion of quantum many-body scarring in open quantum systems governed by the Lindblad equation. To this goal, we rely on the commutant-algebra framework for the description of…

Quantum Physics · Physics 2025-09-23 Lorenzo Gotta

Scar eigenstates in a many-body system refers to a small subset of non-thermal finite energy density eigenstates embedded into an otherwise thermal spectrum. This novel non-thermal behaviour has been seen in recent experiments simulating a…

Quantum Physics · Physics 2024-01-12 Sourav Nandy , Bhaskar Mukherjee , Arpan Bhattacharyya , Aritra Banerjee

The concept of quantum many-body scars has recently been put forward as a route to describe weak ergodicity breaking and violation of the Eigenstate Thermalization Hypothesis. We propose a simple setup to generate quantum many-body scars in…

Quantum Gases · Physics 2020-04-29 Hongzheng Zhao , Joseph Vovrosh , Florian Mintert , Johannes Knolle

A combined analytical and numerical study is performed of the mapping between strongly interacting fermions and weakly interacting spins, in the framework of the Hubbard, t-J and Heisenberg models. While for spatially homogeneous models in…

Strongly Correlated Electrons · Physics 2010-10-15 Vivian V. França , Klaus Capelle

Discrete-spin systems with maximally random nearest-neighbor interactions that can be symmetric or asymmetric, ferromagnetic or antiferromagnetic, including off-diagonal disorder, are studied, for the number of states $q=3,4$ in $d$…

Disordered Systems and Neural Networks · Physics 2018-09-18 Bora Atalay , A. Nihat Berker

We discuss interfaces in spin glasses. We present new theoretical results and a numerical method to characterize overlap interfaces and the stability of the spin-glass phase in extended disordered systems. We use this definition to…

Statistical Mechanics · Physics 2009-02-02 Silvio Franz , T Jorg , Giorgio Parisi

Quantum many-body systems are emerging as key elements in the quest for quantum-based technologies and in the study of fundamental physics. In this study, we address the challenge of achieving fast and high-fidelity evolutions across…

Quantum Physics · Physics 2024-07-31 Hilario Espinós , Loris Maria Cangemi , Amikam Levy , Ricardo Puebla , Erik Torrontegui