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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),…

We study many-body localization (MBL) in a pair-hopping model exhibiting strong fragmentation of the Hilbert space. We show that several Krylov subspaces have both ergodic statistics in the thermodynamic limit and a dimension that scales…

无序系统与神经网络 · 物理学 2021-04-28 Loïc Herviou , Jens H. Bardarson , N. Regnault

We propose a quantum model of fermions simulating the electrical breakdown process of dielectrics. The model consists of $M$ sites with $N$ fermion modes per site, and has a conserved charge $Q$. It has an on-site chemical potential $\mu$…

强关联电子 · 物理学 2023-04-04 Biao Lian

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…

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…

Strongly interacting quantum many-body systems are expected to thermalize, however, some evade thermalization due to symmetries. Quantum synchronization provides one such example of ergodicity breaking, but previous studies have focused on…

无序系统与神经网络 · 物理学 2026-02-13 Nicolas Loizeau , Berislav Buča

We introduce a one-dimensional (1D) extended quantum breakdown model comprising a fermionic and a spin degree of freedom per site, and featuring a spatially asymmetric breakdown-type interaction between the fermions and spins. We…

强关联电子 · 物理学 2024-10-17 Bo-Ting Chen , Abhinav Prem , Nicolas Regnault , Biao Lian

We investigate the phase transitions from chaotic to nonchaotic dynamics in a quantum spin chain with a local non-Hermitian disorder, which can be realized with a Rydberg atom array setting. As the disorder strength increases, the emergence…

量子物理 · 物理学 2025-10-03 Yijia Zhou , Wei Xia , Lin Li , Weibin Li

We study the delocalization dynamics of interacting disordered hard-core bosons for quasi-1D and 2D geometries, with system sizes and time scales comparable to state-of-the-art experiments. The results are strikingly similar to the 1D case,…

无序系统与神经网络 · 物理学 2020-10-09 Elmer V. H. Doggen , Igor V. Gornyi , Alexander D. Mirlin , Dmitry G. Polyakov

The space of one-dimensional disordered interacting quantum models displaying a Many-Body-Localization Transition seems sufficiently rich to produce critical points with level statistics interpolating continuously between the Poisson…

无序系统与神经网络 · 物理学 2016-04-04 Cecile Monthus

The law of statistical physics dictates that generic closed quantum many-body systems initialized in nonequilibrium will thermalize under their own dynamics. However, the emergence of many-body localization (MBL) owing to the interplay…

The celebrated Dyson singularity signals the relative delocalization of single-particle wave functions at the zero-energy symmetry point of disordered systems with a chiral symmetry. Here we show that analogous zero modes in interacting…

强关联电子 · 物理学 2020-05-06 Christian P. Chen , Marcin Szyniszewski , Henning Schomerus

Despite a very good understanding of single-particle Anderson localization in one-dimensional (1D) disordered systems, many-body effects are still full of surprises, a famous example being the interaction-driven many-body localization (MBL)…

无序系统与神经网络 · 物理学 2023-11-14 Jeanne Colbois , Nicolas Laflorencie

Many-body localization (MBL) hinders the thermalization of quantum many-body systems in the presence of strong disorder. In this work, we study the MBL regime in bond-disordered spin-1/2 XXZ spin chain, finding the multimodal distribution…

无序系统与神经网络 · 物理学 2025-02-12 Adith Sai Aramthottil , Piotr Sierant , Maciej Lewenstein , Jakub Zakrzewski

Recent experiments in quantum simulators have provided evidence for the Many-Body Localized (MBL) phase in 1D and 2D bosonic quantum matter. The theoretical study of such bosonic MBL, however, is a daunting task due to the unbounded nature…

无序系统与神经网络 · 物理学 2021-10-28 Sun Woo Kim , Giuseppe De Tomasi , Markus Heyl

We demonstrate that many-body localization of two-dimensional weakly interacting bosons in disorder remains stable in the thermodynamic limit at sufficiently low temperatures. Highly energetic particles destroy the localized state only…

无序系统与神经网络 · 物理学 2019-07-31 G. Bertoli , B. L. Altshuler , G. V. Shlyapnikov

All-to-all interacting, disordered quantum many-body models have a wide range of applications across disciplines, from spin glasses in condensed-matter physics, over holographic duality in high-energy physics, to annealing algorithms in…

We study a quantum spin system with local bilinear interactions and without quenched disorder which seems to display characteristic signatures of a many-body localisation (MBL) transition. From direct diagonalisation of small systems, we…

统计力学 · 物理学 2016-06-01 James M. Hickey , Sam Genway , Juan P. Garrahan

We investigate the anatomy and complexity of quantum states in Krylov space, in the ergodic and many-body localised (MBL) phases of a disordered, interacting spin chain. The Krylov basis generated by the Hamiltonian from an initial state…

无序系统与神经网络 · 物理学 2026-03-27 Bikram Pain , David E. Logan , Sthitadhi Roy

We investigate the Krylov complexity of thermofield double states in systems with mixed phase space, uncovering a direct correlation with the Brody distribution, which interpolates between Poisson and Wigner statistics. Our analysis spans…

高能物理 - 理论 · 物理学 2025-06-19 Kyoung-Bum Huh , Hyun-Sik Jeong , Leopoldo A. Pando Zayas , Juan F. Pedraza
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