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We study the universal properties of eigenstate entanglement entropy across the transition between many-body localized (MBL) and thermal phases. We develop an improved real space renormalization group approach that enables numerical…

Disordered Systems and Neural Networks · Physics 2017-09-18 Philipp T. Dumitrescu , Romain Vasseur , Andrew C. Potter

Many-body localised phases of disordered, interacting quantum systems allow for exotic localisation protected quantum order in eigenstates at arbitrarily high energy densities. In this work, we analyse the manifestation of such order on the…

Disordered Systems and Neural Networks · Physics 2023-07-14 Sthitadhi Roy

We study the transition from a many-body localized phase to an ergodic phase in spin chain with correlated random magnetic fields. Using multiple statistical measures like gap statistics and extremal entanglement spectrum distributions, we…

Disordered Systems and Neural Networks · Physics 2022-09-14 Abhisek Samanta , Ahana Chakraborty , Rajdeep Sensarma

The quantum ergotropy quantifies the maximal amount of work that can be extracted from a quantum state without changing its entropy. Given that the ergotropy can be expressed as the difference of quantum and classical relative entropies of…

Quantum Physics · Physics 2021-08-26 Akira Sone , Sebastian Deffner

Local measurements in quantum systems are projective operations which act to counteract the spread of quantum entanglement. Recent work has shown that local, random measurements applied to a generic volume-law entanglement generating…

Statistical Mechanics · Physics 2022-07-14 Josef Willsher , Shu-Wei Liu , Roderich Moessner , Johannes Knolle

In this work, we investigate the dynamics of homeomorphisms through the lens of the local shadowing theory. We study the influence of positively shadowable points and positively shadowable measures into the local entropy theory of…

Dynamical Systems · Mathematics 2025-02-18 Piotr Oprocha , Elias Rego

The characterization of many-body correlations provides a powerful tool for analyzing correlated quantum materials. However, experimental extraction of quantum entanglement in correlated electronic systems remains an open problem in…

Strongly Correlated Electrons · Physics 2023-04-21 Faluke Aikebaier , Teemu Ojanen , Jose L. Lado

Ergotropy, the maximum work extractable from a quantum system, is a central resource in quantum physics. Computing ergotropy is well established when the system state is fully known, but its estimation under partial information remains an…

We present a scaling theory of the many-body localisation transition in terms of emergent, characteristic energyscales. The analysis is based on the decomposition of the eigenstates in the basis of trivially localised states, resolved in…

Disordered Systems and Neural Networks · Physics 2025-06-03 Sthitadhi Roy

We introduce a method to efficiently study the dynamical properties of many-body localized systems in the regime of strong disorder and weak interactions. Our method reproduces qualitatively and quantitatively the real-time evolution with a…

Disordered Systems and Neural Networks · Physics 2019-07-03 Giuseppe De Tomasi , Frank Pollmann , Markus Heyl

Many-body localization (MBL) is a result of the balance between interference-based Anderson localization and many-body interactions in an ultra-high dimensional Fock space. It is usually expected that dissipation is blurring interference…

Disordered Systems and Neural Networks · Physics 2018-07-25 I. Vakulchyk , I. Yusipov , M. Ivanchenko , S. Flach , S. Denisov

Localization marks the breakdown of thermalization in subregions of quantum many-body systems in the presence of sufficiently large disorder. In this paper, we use numerical techniques to study thermalization and localization in a many-body…

Statistical Mechanics · Physics 2023-03-07 Spasen Chaykov , Brenden Bowen , Nishant Agarwal

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…

Disordered Systems and Neural Networks · Physics 2018-10-10 Thimothée Thiery , François Huveneers , Markus Müller , Wojciech De Roeck

We present a fully analytical description of a many body localization (MBL) transition in a microscopically defined model. Its Hamiltonian is the sum of one- and two-body operators, where both contributions obey a maximum-entropy principle…

Strongly Correlated Electrons · Physics 2021-01-13 Felipe Monteiro , Tobias Micklitz , Masaki Tezuka , Alexander Altland

The characterization of quantum correlations in many-body systems is instrumental to understanding the nature of emergent phenomena in quantum materials. The correlation entropy serves as a key metric for assessing the complexity of a…

Strongly Correlated Electrons · Physics 2025-11-10 Faluke Aikebaier , Teemu Ojanen , Jose L. Lado

A powerful perspective in understanding non-equilibrium quantum dynamics is through the time evolution of its entanglement content. Yet apart from a few guiding principles for the entanglement entropy, to date, not much else is known about…

Strongly Correlated Electrons · Physics 2020-03-18 W. Zhu , Zhoushen Huang , Yin-Chen He , Xueda Wen

We consider isolated quantum systems with all of their many-body eigenstates localized. We define a sense in which such systems are integrable, and discuss a method for finding their localized conserved quantum numbers ("constants of…

Disordered Systems and Neural Networks · Physics 2015-04-07 David A. Huse , Vadim Oganesyan

Quantum many-body dynamics generically results in increasing entanglement that eventually leads to thermalization of local observables. This makes the exact description of the dynamics complex despite the apparent simplicity of…

Quantum Physics · Physics 2022-10-05 Thomas Klein Kvorning , Loïc Herviou , Jens H. Bardarson

Existence of Anderson localization is considered a manifestation of coherence of classical and quantum waves in disordered systems. Signatures of localization have been observed in condensed matter and cold atomic systems where the coupling…

Disordered Systems and Neural Networks · Physics 2023-08-22 Alejandro Cros Carrillo de Albornoz , Dominic C. Rose , Arijeet Pal

Many-body localization has become an important phenomenon for illuminating a potential rift between non-equilibrium quantum systems and statistical mechanics. However, the nature of the transition between ergodic and localized phases in…

Disordered Systems and Neural Networks · Physics 2018-06-04 Johnnie Gray , Sougato Bose , Abolfazl Bayat