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The nature of the many-body localization (MBL) transition and even the existence of the MBL phase in random many-body quantum systems have been actively debated in recent years. In spatial dimension $d>1$, there is some consensus that the…

无序系统与神经网络 · 物理学 2022-10-05 Utkarsh Agrawal , Romain Vasseur , Sarang Gopalakrishnan

Quantum many-body systems with sufficiently strong disorder can exhibit a non-equilibrium phenomenon, known as the many-body localization (MBL), which is distinct from conventional thermalization. While the MBL regime has been extensively…

Disordered quantum many-body systems pose one of the central challenges in condensed matter physics and quantum information science, as their dynamics are generally intractable for classical computation. Many-body localization (MBL),…

Recent work by De Roeck et al. [Phys. Rev. B 95, 155129 (2017)] has argued that many-body localization (MBL) is unstable in two and higher dimensions due to a thermalization avalanche triggered by rare regions of weak disorder. To examine…

无序系统与神经网络 · 物理学 2019-05-29 Ionut-Dragos Potirniche , Sumilan Banerjee , Ehud Altman

Isolated quantum systems with quenched randomness exhibit many-body localization (MBL), wherein they do not reach local thermal equilibrium even when highly excited above their ground states. It is widely believed that individual…

无序系统与神经网络 · 物理学 2016-10-11 A. Chandran , A. Pal , C. R. Laumann , A. Scardicchio

Thermalizing quantum systems are conventionally described by statistical mechanics at equilibrium. However, not all systems fall into this category, with many body localization providing a generic mechanism for thermalization to fail in…

无序系统与神经网络 · 物理学 2019-05-29 Dmitry A. Abanin , Ehud Altman , Immanuel Bloch , Maksym Serbyn

Whether disordered and quasiperiodic many-body quantum systems host a long-lived localized phase in the thermodynamic limit has been the subject of intense recent debate. While in one dimension substantial evidence for the existence of such…

无序系统与神经网络 · 物理学 2022-11-30 Antonio Štrkalj , Elmer V. H. Doggen , Claudio Castelnovo

The many-body localization (MBL) phase transition is not a conventional thermodynamic phase transition. Thus to define the phase transition one should allow the possibility of taking the limit of an infinite system in a way that is not the…

统计力学 · 物理学 2019-04-24 Sarang Gopalakrishnan , David A. Huse

Many-body localized (MBL) systems fail to reach thermal equilibrium under their own dynamics, even though they are interacting, nonintegrable, and in an extensively excited state. One instability towards thermalization of MBL systems is the…

统计力学 · 物理学 2023-06-27 Hyunsoo Ha , Alan Morningstar , David A. Huse

Many-body localization is a profound phase of matter affecting the entire spectrum which emerges in the presence of disorder in interacting many-body systems. Recently, the stability of many-body localization has been challenged by the…

量子物理 · 物理学 2025-10-21 Muhammad Sajid , Rozhin Yousefjani , Abolfazl Bayat

We propose a multi-scale diagonalization scheme to study disordered one-dimensional chains, in particular the transition between many-body localization (MBL) and the ergodic phase, expected to be governed by resonant spots. Our scheme…

无序系统与神经网络 · 物理学 2018-10-10 Thimothée Thiery , François Huveneers , Markus Müller , Wojciech De Roeck

Closed generic quantum many-body systems may fail to thermalize under certain conditions even after long times, a phenomenon called many-body localization (MBL). Numerous studies support the stability of the MBL phase in strongly disordered…

We investigate the robustness of the many-body localized (MBL) phase to the quantum-avalanche instability by studying the dynamics of a localized spin chain coupled to a $T=\infty$ thermal bath through its leftmost site. By analyzing local…

Many-body localization (MBL), characterized by the absence of thermalization and the violation of conventional thermodynamics, has elicited much interest both as a fundamental physical phenomenon and for practical applications in quantum…

无序系统与神经网络 · 物理学 2019-12-17 Pai Peng , Zeyang Li , Haoxiong Yan , Ken Xuan Wei , Paola Cappellaro

Coupling a 1D quasiperiodic interacting system to a Markovian bath, we study the avalanche instability of the many body localized phase numerically, finding that many body localization (MBL) is more stable in pseudorandom quasiperiodic…

无序系统与神经网络 · 物理学 2023-01-19 Yi-Ting Tu , DinhDuy Vu , Sankar Das Sarma

Many-body localized (MBL) systems lie outside the framework of statistical mechanics, as they fail to equilibrate under their own quantum dynamics. Even basic features of MBL systems such as their stability to thermal inclusions and the…

无序系统与神经网络 · 物理学 2018-02-27 Pedro Ponte , C. R. Laumann , David A. Huse , A. Chandran

We experimentally study many-body localization (MBL) with ultracold atoms in a weak one-dimensional quasiperiodic potential, which in the noninteracting limit exhibits an intermediate phase that is characterized by a mobility edge. We…

Many body localization (MBL) has emerged as a powerful paradigm for understanding non-equilibrium quantum dynamics. Folklore based on perturbative arguments holds that MBL only arises in systems with short range interactions. Here we…

强关联电子 · 物理学 2017-10-27 Rahul M. Nandkishore , S. L. Sondhi

Many-body localization provides a generic mechanism of ergodicity breaking in quantum systems. In contrast to conventional ergodic systems, many-body localized (MBL) systems are characterized by extensively many local integrals of motion…

无序系统与神经网络 · 物理学 2015-03-05 Anushya Chandran , Isaac H. Kim , Guifre Vidal , Dmitry A. Abanin

In this work we study the many-body localization (MBL) transition and relate it to the eigenstate structure in the Fock space. Besides the standard entanglement and multifractal probes, we introduce the radial probability distribution of…

无序系统与神经网络 · 物理学 2021-07-14 Giuseppe De Tomasi , Ivan M. Khaymovich , Frank Pollmann , Simone Warzel
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