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We investigate entanglement phase transitions from volume-law to area-law entanglement in a quantum many-body state under continuous position measurement on the basis of the quantum trajectory approach. We find the signatures of the…

Statistical Mechanics · Physics 2021-02-15 Yohei Fuji , Yuto Ashida

The intriguing phenomenon of many-body localization (MBL) has attracted significant interest recently, but a complete characterization is still lacking. In this work, we introduce the total correlations, a concept from quantum information…

Disordered Systems and Neural Networks · Physics 2015-11-09 J. Goold , C. Gogolin , S. R. Clark , J. Eisert , A. Scardicchio , A. Silva

We focus on the many-body eigenstates across a localization-delocalization phase transition. To characterize the robustness of the eigenstates, we introduce the eigenstate overlaps $\mathcal{O}$ with respect to the different boundary…

Disordered Systems and Neural Networks · Physics 2020-07-31 Zi-Yong Ge , Heng Fan

Understanding the nature of the transition from the delocalized to the many-body localized (MBL) phase is an important unresolved issue. To probe the nature of the MBL transition, we investigate the universal properties of single-particle…

Disordered Systems and Neural Networks · Physics 2024-06-28 Atanu Jana , V. Ravi Chandra , Arti Garg

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…

Disordered Systems and Neural Networks · Physics 2022-10-05 Utkarsh Agrawal , Romain Vasseur , Sarang Gopalakrishnan

We numerically study the entanglement dynamics of free fermions on a cubic lattice with potential disorder following a quantum quench. We focus, in particular, on the metal-insulator transition at a critical disorder strength and compare…

Disordered Systems and Neural Networks · Physics 2020-11-20 Y. Zhao , D. Feng , Y. Hu , S. Guo , J. Sirker

Many-body localization (MBL) of a disordered interacting boson system in one dimension is studied numerically at the filling faction one-half. The von Neumann entanglement entropy SvN is commonly used to detect the MBL phase transition but…

Disordered Systems and Neural Networks · Physics 2024-03-07 Jie Chen , Chun Chen , Xiaoqun Wang

An interacting system subjected to a strong linear potential can host a many-body localized (MBL) phase when being slightly perturbed. This so-called Wannier-Stark or `tilted-field' MBL phase inherits many properties from the…

Disordered Systems and Neural Networks · Physics 2021-10-15 Elisabeth Wybo , Michael Knap , Frank Pollmann

In a many-body localized (MBL) quantum system, the ergodic hypothesis breaks down completely, giving rise to a fundamentally new many-body phase. Whether and under which conditions MBL can occur in higher dimensions remains an outstanding…

We develop a mean-field theory of the metallic phase near the many-body localization (MBL) transition, using the observation that a system near the MBL transition should become an increasingly slow heat bath for its constituent parts. As a…

Disordered Systems and Neural Networks · Physics 2014-12-31 Sarang Gopalakrishnan , Rahul Nandkishore

We probe the existence of a many-body localized phase (MBL-phase) in a spinless fermionic Hubbard chain with algebraically localized single-particle states, by investigating both static and dynamical properties of the system. This MBL-phase…

Disordered Systems and Neural Networks · Physics 2019-02-11 Giuseppe De Tomasi

We study a model of interacting fermions in one dimension subject to random, uncorrelated onsite disorder. The model realizes an interaction-driven quantum phase transition between an ergodic and a many-body localized phase (MBL). We…

Disordered Systems and Neural Networks · Physics 2017-07-19 Soumya Bera , Thomas Martynec , Henning Schomerus , Fabian Heidrich-Meisner , Jens H. Bardarson

We demonstrate that the dynamics of quantum coherence serves as an effective probe for identifying dephasing, which is a distinctive signature of many-body localization (MBL). Quantum coherence can be utilized to measure both the local…

Quantum Physics · Physics 2024-09-19 Jin-Jun Chen , Kai Xu , Li-Hang Ren , Yu-Ran Zhang , Heng Fan

We develop a real space renormalization group (RSRG) scheme by appropriately inserting the long range hopping $t\sim r^{-\alpha}$ with nearest neighbour interaction to study the entanglement entropy and maximum block size for many-body…

Disordered Systems and Neural Networks · Physics 2020-05-21 Ranjan Modak , Tanay Nag

Many-body localization (MBL) can occur when strong disorders prevent an interacting system from thermalization. To study the dynamics of such systems, it is typically necessary to perform an ensemble average over many different disorder…

Quantum Physics · Physics 2023-08-16 Jhen-Dong Lin , Yueh-Nan Chen

Many-body localization provides a mechanism to avoid thermalization in isolated interacting quantum systems. The breakdown of thermalization may be complete, when all eigenstates in the many-body spectrum become localized, or partial, when…

Disordered Systems and Neural Networks · Physics 2020-09-02 Pietro Brighi , Dmitry Abanin , Maksym Serbyn

The effect of rare system-wide resonances in the many-body localization (MBL) transition has recently attracted significant attention. They are expected to play a prominent role in the stability of the MBL phase, prompting the development…

Disordered Systems and Neural Networks · Physics 2025-11-13 Greivin Alfaro Miranda , Fabien Alet , Giulio Biroli , Leticia F. Cugliandolo , Nicolas Laflorencie , Marco Tarzia

We analyze a disordered central spin model, where a central spin interacts equally with each spin in a periodic one dimensional random-field Heisenberg chain. If the Heisenberg chain is initially in the many-body localized (MBL) phase, we…

Disordered Systems and Neural Networks · Physics 2018-11-07 Daniel Hetterich , Norman Y. Yao , Maksym Serbyn , Frank Pollmann , Björn Trauzettel

We theoretically investigate the many-body localization phase transition in a one-dimensional Ising spin chain with random long-range spin-spin interactions, $V_{ij}\propto\left|i-j\right|^{-\alpha}$, where the exponent of the interaction…

Quantum Gases · Physics 2016-12-28 Haoyuan Li , Jia Wang , Xia-Ji Liu , Hui Hu

We demonstrate many-body localization (MBL) transition in a one-dimensional isotropic XY chain with a weak next-nearest-neighbor frustration in a random magnetic field. We perform finite-size exact diagonalization calculations of…

Disordered Systems and Neural Networks · Physics 2022-08-17 M. S. Bahovadinov , D. V. Kurlov , S. I. Matveenko , B. L. Altshuler , G. V. Shlyapnikov
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